A rectangular prism with a square base has a lateral area of 192 square yards and a surface area of 264 square yards. What is the length of a base edge?

Answers

Answer 1

A rectangular prism is like a cardboard shoe box. It has two equal bases, one on the top and the other on the bottom. It also has 4 lateral faces to close the figure. The surface area of the prism is the area of all its faces: the 4 side faces and the 2 bases. On the other hand, lateral surface area only accounts for the 4 lateral faces. Therefore, we can conclude that the total surface area is equal to the lateral surface area plus the areas of the two bases.

TSA = LSA + 2s²

Since the base is said to be the square, its area is equal to s² where s is the base edge. Because there are 2 bases, that's why it's 2s².

264 = 192 + 2s²
s² = (264-192)/2
s = √36
s = 6 yards

Related Questions

find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of negative 1

Answers

check the picture below, is a negative angle, thus, is going "clockwise"

[tex]\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{x}\implies tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1} \\\\\\ -1\cdot tan\left( -\frac{3\pi }{4} \right)=y\implies -1\cdot \cfrac{sin\left( -\frac{3\pi }{4} \right)}{cos\left( -\frac{3\pi }{4} \right)}=y \\\\\\ -1\cdot \cfrac{-1}{-1}=y\implies -1[/tex]

The point on the terminal side is (1,-1) and this can be determined by using the trigonometric functions.

Given :

The point on the terminal side of θ = negative three [tex]\pi[/tex] divided by four that has an x coordinate of negative 1.

The following steps can be used in order to determine the point on the terminal side:

Step 1 - Write the given expression.

[tex]\theta = -\dfrac{3\pi}{4}[/tex]

Step 2 - The value of the trigonometric function is given by:

[tex]\rm tan \dfrac{3\pi}{4} =-1[/tex]

Step 3 - The trigonometric function can also be written as:

[tex]\rm tan \theta=\dfrac{y}{x}=-1[/tex]

Step 4 - Substitute the value of 'x' in the above expression.

y = -1

So, the point on the terminal side is (1,-1).

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Jessica attains a height of 4.7 feet above the launch and landing ramps after 1 second. Her initial velocity is 25 feet per second. Find the angle of her launch. a. Which equation can you use with the given information to solve for ?

Answers

To answer this question, we convert first the given height and velocity to SI units so we could more comfortably use the equation. The conversion factor to be used is 1 m = 3.28 ft
Height = 4.7 ft x (1 m/ 3.28 ft) = 1.43 m
Velocity = 25 ft / s x (1 m / 3.28 ft) = 7.62 m/s

The maximum height that can be attained by an object following a projectile path is calculated through the equation,
H = (v₀²)(sin²θ) / 2g
where v₀ is the initial velocity, H is the maximum height and g is the acceleration due to gravity.

Transforming the equation to calculate for θ,
sinθ = sqrt ((H)(2g) /(v₀²))
sinθ = sqrt ((1.43)(2)(9.8)) / (7.62²))
sinθ = 0.76

We calculate for the angle by getting the arcsin.
sin⁻¹ (0.76) = 49.46°

ANSWER: 49.46°

Find the slope in line perpendicular x-y=16

Answers

Change to y = mx + b format
X - y = 16
-y = -x + 16

So slope = - 1 / 1

Hey there! I would like some help please :) Thanks!

Answers

AC is a common side, ∠ACD = ∠ACB and CD = BC ⇒ ΔACD and ΔABC are congruent (SAS definition).

Congruent triangles have exactly the same three angles, so ∠D = ∠B.

What is the value of X that makes the given equation true? 4x-16=6(3+x)

Answers

See the attached picture for how we solved it.

determine which of the following logarithms is condensed correctly

Answers

The laws of logarithm has specific theories to be applied depending on the form of the given expression. Some of it are the following:

alogb = log b^a
log a + log b = log (ab)
log a - log b = log (a/b)

for letter A,
xlogb r + logb s - logb t = logb [(rs)^x]/t
is wrong because the s part from logb s has no x before the logb

for letter B,
xlogb r + xlogb s - logb t = logb (rs/t)^x
is wrong because the t part from logb t has no x before logb

for letter C,
logbr - xlogb s + xlogb t = logb (r)/(st)^x
is correct because after the minus sign, condensing it would form a fraction, the plus sign will form a multiplication and both s and t are raised to the power of x.
So the answer is letter C.

Tim bought a soft drink for 2 dollars and 5 candy bars. He spent a total of 22 dollars. How much did the candy bar costs?

Answers

5x+2=22

Subtract 2 from both sides
5x=20

Divide both sides by 5
x=4

Final answer: $4.00

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 13 in. by 8 in.

Answers

1) To make a rectangular box you need to cut squares from the four corners of the rectangular sheet.

2) Call x the length of the sides of the squares cut off.

3) The base of the box will have dimensions: (13 - 2x) and (8 - 2x)

4) The height of the box will be x

5) The volume of the box will be the area of the base times the height:

Volume = (13 - 2x)(8 -2x)x = (4x^2 - 42x + 104)x = 4x^3 - 42x^2 + 104x

6) The maximum volume is calculated by finding the point where the derivative of the volume is zero =>

d (volume) / dx = 12x^2 - 84x + 104 = 0

7) Solve the quadratic equation 12x^2 - 84x + 104 = 0

=> 4(3x^2 - 21x + 26) = 0

=> 3x^2 - 21x + 26 = 0

=> 3 (x^2 - 7x) + 26 = 0

=> 3 [(x - 7/2)^2 - (7/2)^2] + 26 = 0

=> 3 (x - 7/2)^2 - 3* 49/4 + 26 = 0

=> 3 (x - 7/2)^2 = 3*49/4 - 26

=> (x -7/2)^2 = (49/4 - 26/3)

=> x = 7/2 +/- √(49/4 - 26/3)

x = 7/2 + √3.583 and x = 7/2 - √3.583

x = 5.393 and x = 1.607

=> Volume =

1) 4(5.393)^3 - 42(5.393)^2 + 104(5.393) = -33.26 ---> it does not have physical meaning

2) 4(1.607)^3 - 42(1.607)^2 + 104(1.607) = 75.27 ---> this is the answer

Answer: 75.27 in^3

Write a segment addition problem using three points that asks the student to solve for x but has a solution x = 20

Answers

The segment addition problem was given below which gives the value of x as 20.

Segment addition problem:

Consider three points on a line: A, B, and C. Point B is located between points A and C.

The lengths of the line segments are as follows:

Length of segment AB: 12

Length of segment BC: x

Length of segment AC: 32

Find the value of x.

We have the equation for segment addition: AB + BC = AC

Substitute the given values:

12 + x = 32

Now, solve for x:

x = 32 - 12

x = 20

Therefore, the value of x is indeed 20, and the lengths of the segments satisfy the segment addition property.

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Final answer:

To construct a segment addition problem with a solution of x = 20, use three collinear points A, B, and C and set AB = x and BC = 20 - x, with the entire segment AC being 20 units. Solving the equation x + (20 - x) = 20 confirms that x = 20 is the solution.

Explanation:

To write a segment addition problem that solves for x where the solution is x = 20, let’s use three collinear points A, B, and C with point B between A and C. We can then express the lengths of segments AB and BC in terms of x. For instance, if AB is x units long and BC is 20 - x units long, the total length of AC would be 20 units. We can write an equation based on this:

AB + BC = AC

x + (20 - x) = 20

By simplifying, x cancels out on the left-hand side, leaving 20 = 20, which is true for x = 20. Therefore, this is a valid segment addition problem where solving for x yields 20 as the solution.

Here is the step-by-step problem phrased as a question:

Let points A, B, and C be collinear with B between A and C.If AB = x and BC = 20 - x, and AC = 20, find the value of x.

The three sides of a triangle are consecutive odd integers. If the perimeter of the triangle is 39 inches find the lengths of the sides of the triangle

Answers

It should be 11 13 15, the sum is 39 and those are consecutive odd integers

slope of -8 and Y intercept of (0, 12) in slope intercept form.

Answers

y=-8x+12 is the equation in slope intercept form

Which graph represents the solution to the system of inequalities? x + y ≥ 4 2x + 3y < 12

Answers

There are two inequality equations to be graphed:

x + y ≥ 4
2x + 3y < 12

For the first step, let's disregard the inequality symbols and take it like any conventional algebraic equation. This is to be able to graph the lines on a Cartesian planes first.

For the first equation, x+y=4. To find the x- and y-intercepts, let the other variable be 0. For example,
x-intercept:
x+0=4
x=4
y-intercept:
0+y=4
y=4
Therefore, you can graph the equation line by plotting the intercepts (4,0) and (0,4) and connecting them together. The same thing is done to the second equation:
x-intercept:
2x + 0 = 12
x=12/2=6
y-intercept:
0 + 3y =12
y= 12/3 = 4
Therefore, you can graph the equation line by plotting the intercepts (6,0) and (0,4) and connecting them together. The graph is shown in the left side of the picture.

The next step would be testing the inequalities. Let's choose a point that does not coincide with the lines. That point could be (-5,-1).

x + y ≥ 4
-5 + -1 ≥4
-6 ≥ 4 --> this is not true. Thus, the solution of the graph must not include the area of this point. It includes everything to the right of the line denoted by the blue-shaded region.

2x + 3y < 12
2(-5) + 3(-1) <12
-13 < 12 ---> this is true. Thus, the solution would include this point. That includes all points to the left of the orange line denoted by the orange-shaded the region.

The region where blue and orange overlap is the solution of the system of equations, denoted by the green-shaded region.

9log9(4) =

A. 3
B. 4
C. 9
D. 81

Answers

"9log9(4) = " What do you mean by this?

Kenji buys 3 yards of fabric for 7.47$. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?

Answers

12.47$ because one piece of fabric is 2.49$

The first thing that you would want to do is find the cost of one yard of fabric.

7.47 / 3 = 2.49

Now that we know that each yard costs $2.49, we can multiply it by the number of yards you need to buy (two).

2 • 2.49 = 4.98

Your total for two yards of fabric is $4.98

To answer that question

Answers

First, we get ax^2+bx+c. Next, we know that the line of symmetry is -b/2a. Since we know that there is a maximum value, the parabola is facing downwards, so a is negative. For random numbers, we can say that a = -0.5 and b=-10 (b needs to be negative for -b/2a to equal -10), getting -0.5x^2-10x+c. Plugging -10 in for x (since -10 is the middle it is the max), we get -50+100=50. Since the maximum needs to be 5, not 50, we subtract 45 from the answer to get it and therefore make c = -45, getting -0.5x^2-10x-45

How many radians are contained in the angle AOT in the figure? Round your answer to three decimal places.

A. 0.459 radian
B. 2.178 radians
C. 1.047 radians
D. 0.955 radian

Answers

1 radian = 57.3 degrees

60 ÷ 57.3 = 1.047

correct answer: C

Answer:

Option C. 1.047 radians

Step-by-step explanation:

We have to find the measure of angle AOT in radians.

To convert measure of an angle from degree to radians we use the formula

[tex]\text{radians}=\frac{\pi(\text{degrees})}{180}[/tex]

= [tex]\frac{\pi(60)}{180}=\frac{\pi }{3}[/tex]

(Since measure of angle AOT is 60°)

= [tex]\frac{3.14}{3}[/tex] (since π = 3.14)

= 1.047 radians

Therefore, option C. 1.047 radians is the correct option.

Probability theory predicts that there is a 44% chance of a water polo team winning any particular match. If the water polo team playing 2 matches is simulated 10,000 times, in about how many of the simulations would you expect them to win exactly one match?

Answers

After playing 2 matches possible outcomes are:
water polo team wins none, wins 1 or wins both games.

chance that they win both matches are:
0.44*0.44 = 0.1936 in relative value

Chance that they lose both matches are:
(1-0.44)*(1-0.44) = 0.3136 in relative value

If we multiply these relative values by number of matches and subtract that from number played double games (10000) we will get number of times they won only once.

10000 - 10000* (0.3136+ 0.1936) = 4928

Determine the value of a so that the line whose equation is ax+y-4=0 is perpendicular to the line containing the points (2,-5) and (-3,2)

Answers

First, write the equation of the line containing the points (2,-5) and (-3,2).

We can use 2 point form, or point-slope form.

Let's use point-slope form.

the slope m is [tex] \frac{-5-2}{2-(-3)}= \frac{-7}{5} [/tex], then use any of the points to write the equation. (ex, pick (2, -5))

y-(-5)=(-7/5)(x-2)

y+5=(-7/5)x+14/5

y= (-7/5)x+14/5 - 5 =(-7/5)x+14/5 - 25/5 =(-7/5)x-11/5

Thus, the lines are

i) y=-ax+4 and ii) y=(-7/5)x-11/5

the slopes are the coefficients of x: -a and (-7/5),

the product of the slopes of 2 perpendicular lines is -1,

so

(-a)(-7/5)=-1

7/5a=-1

a=-1/(7/5)=-5/7

Answer: -5/7

A rectangular picture frame measures 4.0 inches by 5.5 inches. To cover
the picture inside the frame with glass costs $0.99 per square inch.
What will be the cost of the glass to cover the picture?

Answers

area = 4 x 5.5 = 22 square inches

cost is 0.99 per sq. inch

22 * 0.99 = 21.78

cost is $21.98

To find the cost of the glass for a 4.0 inch by 5.5 inch picture frame, calculate the frame's area and multiply it by the cost per square inch. The glass would cost $21.78.

To calculate the cost of the glass needed to cover the picture, you first need to determine the area of the glass required. The frame measures 4.0 inches by 5.5 inches, so the area can be found using the formula for the area of a rectangle, which is length multiplied by width.

The area is therefore 4.0 inches × 5.5 inches = 22.0 square inches. With the cost of glass being $0.99 per square inch, the total cost can be calculated by multiplying the area of the glass by the cost per square inch:

Total cost = 22.0 square inches × $0.99/square inch = $21.78.

Therefore, the cost of the glass to cover the picture would be $21.78.

Find all solutions in the interval [0, 2π).

sin^2 x + sin x = 0

Answers

Factoring:-

sin x( sin x + 1) = 0

sin x = 0 , or sinx + 1 = 0 giving sin x = -1

when sin x = 0 x = 0 , pi

when sin x = -1, x = pi + pi/2 = 3pi/2

solutions in given interval are 0,pi and 3pi/2

Factor the expression

4b^2+28b+49

Answers

(2b + 7(2b + 7) : the factor to this expression

please help me idk how to do this at all I've been stuck on it for awhile.

Answers

so remember
(x,y)
we are given x=2
find what y is when x=2
subsitute 2 for x

y=2x+5
y=2(2)+5
y=4+5
y=9

so the blank is 9

when numbers are in parenthesis the first number is x the second is y

(x,y)

sine they give you (2, blank)

2 = x so replace x in the equation with 2

so y=2x+5 becomes y=2(2)+5

so y = 2*2+5 = 9

y=9

so it should be (2,9)

The figures in each pair are similar. Find the value of each variable. Show your work.

Answers

When a pair of figure is similar, it means the lengths have a scale factor. So we have to find what times 8 gives 16, which is the length if the bigger rectangle. 8×2=16, so we have to use the scale factor, which is 2, to multiply by the other length of the rectangle. 2×2=4, so x=4.
Next question is basically like the first one, but you have to divide instead. 12÷4=3, and so 8×3=24, so y=24. 18÷3=6, so x=6. Last one, 6÷4= 1.5. 8÷1.5=5.3 and 7÷1.5=4.6, so x=4.6 and y=5.3

We know that the figures in each pair are similar and that x,y>0, so:

The rectangle:
[tex]\frac{16}{8}=\frac{x}{2}[/tex]
[tex]2=\frac{x}{2}\quad |\cdot 2[/tex]
[tex]4=x[/tex]

The triangle I:
[tex]\frac{y}{12}=\frac{8}{4}[/tex]
[tex]\frac{y}{12}=2\quad |\cdot 12[/tex]
[tex]y=24[/tex]

[tex]\frac{12}{4}=\frac{18}{x}[/tex]
[tex]3=\frac{18}{x}\quad |\cdot x[/tex]
[tex]3x=18\quad |:3[/tex]
[tex]x=6[/tex]

The triangle II:
[tex]\frac{8}{6}=\frac{y}{4}[/tex]
[tex]32=6y\quad |:6[/tex]
[tex]y=5\frac{1}{3}[/tex]

[tex]\frac{6}{4}=\frac{7}{x}[/tex]
[tex]\frac{3}{2}=\frac{7}{x}[/tex]
[tex]3x=14[/tex]
[tex]x=4\frac{2}{3}[/tex]

:)

Sixty-five percent of men consider themselves knowledgeable football fans. if 12 men are randomly selected, find the probability that exactly four of them will consider themselves knowledgeable fans.

Answers

Answer:

P(x)= 0.0198

Step-by-step explanation:

Given : 65% men are knowledgeable football fans, 12 are randomly selected ,

To find : Probability that exactly four of them will consider themselves knowledgeable fans.

Solution : Let P is the success rate = 65% = 0.65

Let Q is the failure rate = 100-65= 35%= 0.35

Let n be the total number of fans selected = 12

Let r be the probability of getting exactly four = 4

Formula used : The binomial probability

[tex]P(x)= \frac{n!}{(n-r)!r!}P^rQ^{n-r}[/tex]

putting values in the formula we get ,

[tex]P(x)= \frac{12!}{(12-4)!4!}(0.65)^4(0.35)^{12-4}[/tex]

[tex]P(x)= (495)(0.1785)(o.ooo22 )[/tex]

P(x)= 0.0198

The probability that exactly four out of the twelve randomly selected men will consider themselves knowledgeable football fans is approximately 0.236 or 23.6%.

Step 1: Model Selection (Binomial Distribution)

This scenario can be modeled using the binomial distribution if the following conditions are met:

Fixed number of trials (n): In this case, we have a fixed number of men being selected (n = 12).Binary outcome: Each man can be classified into two categories: either a "knowledgeable fan" (success) or a "not knowledgeable fan" (failure).Independent trials: The knowledge level of one man doesn't affect the selection of another.Constant probability (p): The probability (p) of a man being a knowledgeable fan remains constant throughout the random selection (given as 65%).

Since these conditions seem reasonable, the binomial distribution is a suitable model for this scenario.

Step 2: Formula and Values

The probability (P(x)) of exactly x successes (knowledgeable fans) in n trials (men selected) with probability p of success (knowledgeable fan) can be calculated using the binomial probability formula:

P(x) = nCx * p^x * (1 - p)^(n-x)

where:

n = number of trials (12 men)x = number of successes (4 knowledgeable fans - what we're interested in)p = probability of success (knowledgeable fan - 65% converted to decimal: 0.65)(1 - p) = probability of failure (not knowledgeable fan)

Step 3: Apply the Formula

We are interested in the probability of exactly 4 men being knowledgeable fans (x = 4). Substitute the known values into the formula:P(4) = 12C4 * 0.65 ^ 4 * (1 - 0.65) ^ (12 - 4)

Step 4: Calculate Using Calculator or Software

While it's possible to calculate 12C4 (combinations of 12 choosing 4) by hand, using a calculator or statistical software is often easier.12C4 = 495 (combinations of 12 elements taken 4 at a time)

Step 5: Complete the Calculation

Now you have all the values to complete the calculation:P(4) = 495 * 0.65 ^ 4 * (1 - 0.65) ^ 8Using a calculator or software, evaluate the expression. You'll get an answer around 0.236.

Find the selling price of an item listed at $400 subject to a discounted series of $25%, 10%, and 5%
A. $256.50
B. $270.00
C. $225.00
D. $300.00

Answers

$400 - ($400 x 0.25) = $300

$300 - ($300 x 0.10) = $270

$270 - ($270 x 0.05) = $256.50

answer
A. $256.50

Answer:

Selling price of an item is $256.50 (A).

Step-by-step explanation:

Given : WE have given an item listed at $400 subject to a discounted series of $25%, 10%, and 5% .

To find : Find the selling price of an item.

Formula used : Selling price = marked price - discount.

Solution : We have an item listed at = $400.

Discount percentage = $25% , $10% , $5.

Discount 1 = $400 ×[tex]\frac{25}{100}[/tex] = $100.

Selling price = $400-100 = $300.

Discount 2 = $300 ×[tex]\frac{10}{100}[/tex] = $30.

Selling price = $300-30 = $270.

Discount 3 = $270 ×[tex]\frac{5}{100}[/tex] = $13.50.

Final selling price = $270-13.50 = $256.50.

Therefore, Selling price of an item is $256.50 (A).

Find an exact value. sin(17pi/12)

a. √6 - √2 / 4
b. -√6 - √2 / 4
c. √6 + √2 / 4
d. √2 - √6 / 4

Answers

correct option is B.
feel free to ask if you have any doubts.

The required exact value of the given trigonometric function is sin(17π/12) = (√6 + √2)/4

What are Trigonometric functions?

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric function is given in the question, as follows:

sin(17π/12)

To find the value of sin(17π/12), we can use the following trigonometric identity:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

In this case, we can write:

sin(17π/12) = sin(π/3 + π/4)

We know that sin(π/3) = √3/2 and cos(π/3) = 1/2, and sin(π/4) = cos(π/4) = √2/2.

Therefore, we can use the above identity to get:

sin(17π/12) = sin(π/3)cos(π/4) + cos(π/3)sin(π/4)

= (√3/2)(√2/2) + (1/2)(√2/2)

= (√6/4) + (√2/4)

= (√6 + √2)/4

So the answer is option (c): √6 + √2 / 4.

Learn more about Trigonometric functions here:

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True or false an inscribed angle is formed by two radii that share an endpoint

Answers

True or false an inscribed angle is formed by two radii that share an endpoint

the correct answer is : FALSE

Answer:

The given statement : an inscribed angle is formed by two radii that share an endpoint is an FALSE statement.

Step-by-step explanation:

Inscribed angle is a angle which is formed inside the circle by joining of two intersecting chords inside a circle.

The inscribed angle is explained with the help of a diagram below :

In the diagram attached below, ∠ABC is an inscribed angle with an intercepted minor arc from A to C.

Thus, the inscribed angle is not formed with the help of radii that share a common end point.

Hence, The given statement : an inscribed angle is formed by two radii that share an endpoint is an FALSE statement.

Line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2.
What is the length of segment QM'?

Answers

Answer: 6 units

Step-by-step explanation:

Given: Line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2.

Since in dilation , to calculate the distance of a point on image from center point we need to multiply scale factor to the distance of corresponding point on pre-image from center point .

Thus we have,

[tex]QM'=2\times QM\\\\\Rightarrow QM'=2\times3\\\\\Rightarrow QM'=6[/tex]

Hence, the length of segment QM' = 6 units.

Answer:

6 units

Step-by-step explanation:

Find the slopes of the asymptotes of the hyperbola with the following equation.
36 = 9x ^{2} - 4y^{2}

Answers

Final answer:

The given equation is a hyperbola, and by converting it to standard form we find a = 2 and b = 3. Therefore, the slopes of the asymptotes are ±3/2.

Explanation:

The equation given is in the form of a hyperbola equation which could be written as [tex]x^2/a^2 - y^2/b^2 = 1.[/tex] This suggests that the transverse axis is horizontal meaning the hyperbola opens to the left and right. The slopes of the asymptotes for hyperbola is given by ±b/a.

First, we need to rewrite our equation in standard form. The equation given is [tex]36 = 9x^{2} - 4y^{2}.[/tex] To convert it into the standard form, we divide whole equation by 36 to isolate 1 on one side. This yields [tex](x^2/4) - (y^2/9) = 1.[/tex] Now, it is in the standard form of hyperbola.

By comparing it with the standard equation, we see that [tex]a^2 = 4 \ and\ b^2 = 9[/tex]which gives a = 2 and b = 3. Based on these, we can now find the slope of the asymptotes which is ±b/a = ±3/2.

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A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in.2 find the radius of the beach ball. use the formula , where a is the surface area and r is the radius of the sphere. 576 in. 48 in. 75 in. 24 in.

Answers

The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:

SA = 4 π r^2

where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2

Rewriting the formula in terms of r:

r^2 = SA / 4 π

r = sqrt (SA / 4 π)

Solving for r:

r = sqrt (7238 in^2 / 4 π)

r = 24 in

Answer:

24 inches

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For which audience is the following sentence most appropriate? The dialogue from Romeo and Juliet is meant to be soulful. economics classdrama classmath classyoga class Why do dark-colored rock pocket mice on dark lava flows have white bellies? During hemostasis, which process occurs first? The field of psychology that studies the relationships between psychological factors and the prevention and treatment of physical wellness problems is known as A triangle can have sides whose lengths are 9cm, 16cm, and If a model can be applied successfully by people in all areas and levels of an organization, it is said to possess the trait of: Driving on the North West Express-way, Debbie averaged 62 miles per hour for 3 & one fourth hours. How far did she drive? Why do you think the Church opposed many of the new ideas of Enlightenment? Use a cliche in a sentence that you creat when did all thirteen colonies adopt written constitutions? Neofunctionalism is the theory that __________ integration generates a political dynamic that drives integration further. Label the parts of a cell membrane with the term that describes each part. Which sentence is correctly written? Last night we had eaten at the Sundance Caf but later went to the theater to watch a movie. We went to the theater to watch a movie after we had eaten at the Sundance Caf. We had gone to the theater to watch a movie once we ate at the Sundance Caf. Last night we ate at the Sundance Caf and later went to the theater to watch a movie. NextReset What is the best translation for the following sentence?The turtle is smaller than the cat.La tortuga es ms pequea que el gato.El gato es ms pequeo que la tortugaLa tortuga es menos pequea que el gato. 30. read the following passage from first connfession in which the main character has just entered the confessional.It must have been then that I noticed the shelf at about one height with my head. It was really a place for grown up people to rest their elbows, but in my distracted state I thought it was probably the place you were supposed to kneel. Of course, it was on the high side and not very deep, but I was always good at climbing and managed to get up alright. Staying up was the trouble..."what are you doing up there?" he shouted in an angry voice, and the strain the politeness was putting on my hold of the molding, and the shock of being addressed in such an uncivil tone, were too much for me.Which of the following stylistic elements is used by the writer to create humor in these lines?A) hyperboleB) incongruityC) ironyD) sarcasm What is the value of in a spontaneous reaction? I WILL GIVE BRAINLIESTJulian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different SET A: 13.542 and 35.42SET B: 781 and 78.1 SET C: 1.2 and 01.20 Earthquakes are especially associated with --- boundaries. A. Divergent., B. Convergent., C. Transform., D. Fault Which enlightened thinker is most famous for his concept that the most effective form of government is one in which features separation of powers? Young people who talk about suicide never attempt suicide? True or False Steam Workshop Downloader