What is the slant height x of the square pyramid?

Express your answer in radical form.

What Is The Slant Height X Of The Square Pyramid? Express Your Answer In Radical Form.

Answers

Answer 1

Answer:

x = [tex] 4 \sqrt { 3 } [/tex]

Step-by-step explanation:

We are given a diagram of a pyramid with a right angled triangle which has [tex]30[/tex]°, [tex]60[/tex]° and [tex]90[/tex]° angles an the hypotenuse is [tex]8cm[/tex].

Since we have a right angled triangle, we can apply sin here:

We know that [tex]sin 60 = \frac{\sqrt{3} }{2}[/tex] so we can write it as

[tex]\frac{\sqrt{3} }{2} = \frac{x}{8}[/tex]

So we get the slant height of x = [tex]4\sqrt{3}[/tex].

Answer 2

Answer:

The slant height of square pyramid = 4√3 m

Step-by-step explanation:

From the figure we can see a square pyramid with lateral edge 8 m

Also the one angle of face triangle is 60° , therefore the face triangle is an equilateral triangle.

Therefore the base is 8 m

To find the slant height

slant height² = Lateral edge² - (base/2)²

    = 8² - (8/2)² = 8² - 4²

    = 64 - 16 = 48

Slant height = √48 = 4√3 m

Therefore slant height of square pyramid =  4√3 m


Related Questions

Write the ratio 2/4 as a percent.

Answers

Answer:

  50%

Step-by-step explanation:

2/4 = (2/4)×(25/25) = 50/100 = 50%

The perimeter of a triangle is given by the formula P = a + b + c. Solved for b, this formula becomes b =

Answers

Answer: B) P-a-c.

Step-by-step explanation:

The value of b is P - a - c.

Given,

The perimeter of a triangle is given by the formula P = a + b + c.

We need to solve for b.

What is the perimeter of a triangle?

The total length of all three sides of a triangle is called the perimeter of the triangle.

It is given by:

P = a + b + c

Where a,b, and c are the sides of the triangle.

We have,

P = a + b + c

Subtracting a on both sides

P - a = a + b + c - a

P - a = b + c

Subtracting c on both sides

P - a - c = b + c - c

P - a - c = b

We get,

b = P  - a - c

Thus the value of b is P - a - c.

Learn more about the Perimeter of a triangle here:

https://brainly.com/question/12901661

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Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the length of the swimming pool?

Answers

Answer:

Option C. [tex]p=33\ ft[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

Using proportion

[tex]\frac{p}{12}=\frac{22}{8}\\ \\p=12*22/8\\ \\p=33\ ft[/tex]

Answer:

c

Step-by-step explanation:

bc i took quiz

PLZ ANSWER RIGHT, POINTS 99!!
Select the correct answer from each drop-down menu.

Consider the following equation.

[tex]0 = x^{2} - 10x - 27[/tex]

Complete each statement about the solutions to the equation.

The negative solution is between (Q1)__ and (Q2)__.

Q1.) A. -13

B. -3

C. -2

D. -12


Q2) A. -1

B. -11

C. -12

D. -2

________________________________________________

The positive solution is between (Q3)__ and (Q4)__.

Q3.) A. 11

B. 1

C. 2

D. 12


Q4.) A. 13

B. 3

C. 12

D. 2

Answers

Using the quadratic formula -b +/-√b^2-4(ac) / 2a solve for x:

10 +/-√(-10)^2 -4(1*27) / 2*1

x = 5 +/-2√13

x = -2.21

or x = 12.21

The negative solution is between -2 and -3.

The positive solution is between 12 and 13.

Describe the pattern below. Write another pattern that has the same fourth value. Describe your pattern 0.41,0.82,1.64,3.28

Answers

Answer:

times 2

Step-by-step explanation:

0.41*2=0.82

0.82*2=1.64

divide by 2...pattern is 3.28,1.64,0.82,0.41

Another pattern with the same fourth term is one where to get the next term in the sequence we multiply the previous one by -2, and the first term is -0.41,

Analyzing the given pattern.

We have the pattern:

0.41, 0.82, 1.64, 3.28

Is ratter easy to see that it is a geometric sequence, such that each term is twice the previous term:

0.82 = 2*0.411.64 = 2*0.813.28 = 2*1.64

Now we just want to make another pattern that has the same fourth term, so we can play with the given pattern.

Suppose we start with -0.41, and instead of by 2, we multiply each time by -2, then we get:

a₁ = -0.41a₂ = (-2)*(-0.41) =0.82a₃ = (-2)*(0.82) = -1.64a₄ = (-2)*(-1.64) = 3.28

And so on, so we just found another pattern that has the same fourth term, but behaves differently.

If you want to learn more about sequences, you can read:

https://brainly.com/question/9300199

What Katie bought some flour she used 3/8 of it to bake bread what percent of the flower is left over

Answers

Answer:

62.5%

Step-by-step explanation:

The gravitational force on the earth is six times greater than on the moon. This means objects weigh six times as much on earth as they do on the moon. Write an algebraic expression for the weight of an object on earth if its weight on the moon is m.

Answers

Answer:

y=6x

Step-by-step explanation:

let y be the weight of an object on the earth

let x be the weight of the same object on the moon

Since the weight of an object on earth is 6 times greater than the same thing on the moon, You must multiply the weight of something on the moon by six.

Hope this helped!

Final answer:

The algebraic expression for the weight of an object on Earth given its weight on the Moon, denoted as 'm', is 'W = 6m', where 'W' represents its weight on Earth.

Explanation:

The question is asking us to find an algebraic expression for the weight of an object on Earth given its weight on the Moon.

We know that the gravitational force on Earth is six times greater than on the Moon, which means objects weigh six times more on Earth than on the Moon.

If the weight of an object on the Moon is given as m, then the weight of the same object on Earth, W, would be W = 6m.

If AC=12, BC=3, find CE
1) 3 square root of 3
2) 6
3) 18

Answers

Answer:

2) 6

Step-by-step explanation:

CE^2 = BC * AC

CE^2 = 3 * 12

CE^2 = 36

CE = 6

Find x in the right triangle.

Answers

Answer:

x=4

Step-by-step explanation:

We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b we use c^2-a^2=b^2. Lets input our knowns. 5^2-3^2=x^2. Lets start solving by squaring.

25-9=x^2

Subtract

16=x^2

Take the square root

4=x

Use the graph of the function f to determine f(x)

Answers

Answer: option a.

Step-by-step explanation:

The [tex]\lim_{x \to a} f(x)[/tex] give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.

In this case we are evaluating the limits when:

[tex]{x \to -3}[/tex]

[tex]{x \to 0}[/tex]

[tex]{x \to 2}[/tex]

of the function shown in the graph.

As you can observe in the graph, when:

[tex]{x \to -3}[/tex] , [tex]y=3[/tex]

[tex]{x \to 0}[/tex] , [tex]y=0[/tex]

[tex]{x \to 2}[/tex] , [tex]y=-2[/tex]

Matt measures 3 peices of string. The first peice is 544 cm , the second peice is 144 cm,and the third peice is 112 cm. How many meters of string does he have altogether

Answers

Answer:

[tex]8\ m[/tex]

Step-by-step explanation:

we know that

[tex]1\ m=100\ cm[/tex]

step 1

Sum the 3 pieces of string

[tex]544+144+112=800\ cm[/tex]

step 2

Convert centimeters to meters

[tex]800\ cm=800/100=8\ m[/tex]

A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total was $115. Which equation can be used to find the charge x, in dollars, per mile traveled?

A)40x+15=115
B)40+15x=115
C)40x+15x=115
D)40+15=115x

Answers

Answer: The equation you will use would be 40x + 15x =115. you're welcome.

The perimeter of a triangle is 76 cm. Side a of the triangle is twice as long as side b. Side c is 1 cm longer than side a. Find the length of each side.

Answers

Let side B = X

Then side A = 2x

Side C = 2x +1

Mow you have x + 2x + 2x+1 = 76

Simplify:

5x +1 = 76

Subtract 1 from both sides:

5x = 75

divide both sides by 5:

x = 75 /5

x = 15

Side A = 2x = 2*15 = 30 cm

Side B = x = 15 cm

Side C = 2x +1 = 2*15 +1 = 30+1 = 31 cm

When are the x-intercept and the y-intercept of a graph identical?

Answers

at the origin

they are same

Answer:

The only time that both intercepts are identical is when they form the line of [tex]x = y[/tex], which is the origin, and MUST be a POSITIVE RATE OF CHANGE [SLOPE].

I am joyous to assist you anytime.

What is the distance between (6, 2) and (6, -5)? A.-7 units B.3 units C.7 units D.11 units

Answers

Hey there! The correct option is A. -7 units (see photo for more info)

You can see in the photo I provided that there are 7 spaces in between (6, 2) & (6, -5) & since -5 is negative, the number of units in be will be negative.

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

The distance is 11 units

Charlotte has a 222 page book. She has read 1/2 of of it. How many pages does she have left to read?

Answers

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ She has 111 pages left.

222/2 = 111

222 - 111 = 111

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

222/2=111 111x2=222

Karleigh walks 5/8 mile to school every day . How far does she walk to school in 5 days

Answers

Hello, thanks for using Brainly!

First, our equation is: [tex]5/8[/tex] x [tex]5 = 25/8.[/tex]

Our first step is to simplify.

When you simplify you get 3 1/8.

This is another way you can get it: (Multiply across. )

[tex]Number[/tex] [tex]of[/tex] [tex]the[/tex] [tex]miles = \frac{5}{8}[/tex] [tex]5 = \frac{25}{8} = 3\frac{1}{8}[/tex]

Enjoy your day.

A computer rounded the number 129.257 to the nearest hundredth what is this number rounded to the nearest hundredth

Answers

Answer:

it is 129.3 you just round

Bill is saving for his son's college education. If the savings account earns 5% interest compounded monthly, and he wants to have $45,000 in 10 years, what must the principal be?

Answers

Answer:

$27,322.25

Step-by-step explanation:

Final answer:

To find the principal, you can use the formula for compound interest. The principal should be approximately $30,157.40.

Explanation:

To find the principal, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the future value of the investment (which in this case is $45,000)

P is the principal

r is the annual interest rate (which is 5% or 0.05)

n is the number of times interest is compounded per year (monthly compounding means n = 12)

t is the number of years

Using the given values, we have:

45000 = P(1 + 0.05/12)^(12*10)

Solving for P:

P = 45000 / (1 + 0.05/12)^(12*10)

P = 45000 / (1.00416667)^(120)

P ≈ 30157.40

Therefore, Bill must have a principal of approximately $30,157.40.

Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgia walked 67/100 of a mile from school to her home.Which of the girls live farther from school? Explain.

Answers

Answer:

Alecia lives farther from school

Step-by-step explanation:

Georgia

we know that

The distance from the school to her home is 67/100 of a mile

[tex]\frac{67}{100}=0.67\ miles[/tex]

Alecia

we know that

The distance from the school to her home is

3/10 of a mile plus 4/10 of a mile

so

[tex]\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles[/tex]

Compare the distances

[tex]0.7\ miles>0.67\ miles[/tex]

therefore

Alecia lives farther from school

Final answer:

The answer explains that Georgia lives farther from school than Alecia based on the distances they walked.

Explanation:

Alecia: Walked 3/10 mile from school + 4/10 mile back home = 7/10 mile total distance.

Georgia: Walked 67/100 mile total distance.

Alecia vs. Georgia: Alecia walked 0.7 mile, Georgia walked 0.67 mile. Georgia lives farther from the school as 0.7 > 0.67 mile.

What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?



A. 15 cm2
B. 12 feet
C. 4 m3
D. 16 inches

Answers

Answer:

15cm2

Step-by-step explanation:

Area of a triangle is b*h/2

B is 5

H is 6

5 * 6 = 30

30/2 = 15

Answer:

A

Step-by-step explanation:

The area of a triangle is base * height, divided by 2

bh/2 (same thing as multiplying by .5 or 1/2)

given:

base: 5 cm

height: 6 cm

(5 * 6)/2 = 15 cm^2

therefore the answer is A

I Need Some Help!!!!!!!!!

Answers

Answer:

median = 50

difference in the quartiles = 45

Step-by-step explanation:

The median amount is the line in the middle of the box

The median is 50

The difference between the upper quartile and the lower quartile is the difference between the right end of the box and the left end of the box

65-20 = 45

The tangent and secant functions are undefined for the same values true or false

Answers

Answer:

TRUE

Step-by-step explanation:

tanθ = 1/cotθ

cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.

∴ tanθ is undefined when θ = ±[(2n+1)/2]π.

secθ = 1/cosθ

cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.

∴ secθ is undefined when θ = ±[(2n+1)/2]π.

The tangent and secant functions are undefined for the same values of θ.

Answer:

True

Step-by-step explanation:

The tangent and secant functions are undefined for the same values.

Secant and tangent are trigonometry function. Each function has fix value for fix angle.

For angle 90° degree or [tex]\dfrac{\pi}{2}[/tex]

As we know,

[tex]\tan90^\circ=\infty[/tex]

[tex]\tan\dfrac{\pi}{2}=\infty[/tex]

[tex]\sec90^\circ=\infty[/tex]

[tex]\sec\dfrac{\pi}{2}=\infty[/tex]

True

∞ is undefined.

Hence, Both tangent and secant are undefined at 90°

I will mark the brainliest answer to the user that gets this question correct.
What is the square root of 100

Answers

Answer: your answer is 10 easy as said. Love you jojo

Answer:

10

Step-by-step explanation:

The square root of 100 is 10 because

10x10=100

Another way to do this is to add 10 together 10 times

(which is why multiplication was invented; to make adding large groups of numbers easier)

Evaluate the logarithm in e^2 (Picture provided)

Answers

Answer: option d

Step-by-step explanation:

By definition, you know that:

[tex]log_a(a^n)=n[/tex]

Where: a is the base of the logarithm.

You also know that the base of [tex]ln[/tex] is the Euler's number, which is "[tex]e[/tex]".

Therefore, when you apply the property shown above, you   obtain the following:

[tex]ln(e^2)=log_e(e^2)\\ln(e^2)=2[/tex]

Then, you can conclude that the answer is the shown in the option d.

Answer:

d edge

Step-by-step explanation:

math 23 points help please asap

Answers

The answer is A because the rest of them for any given x you get 2 or more values of y

what is the domain of this graph?

Answers

Answer:

B 0 ≤x≤9

Step-by-step explanation:

The domain is the input values of the graph.  In this graph it is the values that the time variable takes.

Time can take 0 seconds to 9 seconds

0 ≤x≤9

Jacob's daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?

Answers

Answer:

no

Step-by-step explanation:

median only shows the amount in the very middle. to represent how much money he makes in daily tips, he needs to find the mean (the average).

Answer:

Little close

Step-by-step explanation:

In statistics, when we have a list of entries to be analyzed we have few figures for observation. These are

Mean , median and mode.

Mean gives the average of all the entries. By average means.

Median gives you the middle most entry.

And mode gives the entry repeated the most.

As by definition we see that , median will give us approximation regarding daily data, hence jacob must consider the median to best represent the money he makes on daily basis.

The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence post to another. All distances are in feet. Complete the square to find and interpret the extreme value (vertex). Select two answers: one extreme value and one interpretation

Answers

Answer:

Exterme Value: [tex](2,4)[/tex].

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is [tex]y=x^2-4x+8[/tex].

We add and subtract the square of half the coefficient of x.

[tex]y=x^2-4x+(-2)^2-(-2)^2+8[/tex].

The first three terms form a perfect quadratic trinomial.

[tex]y=(x-2)^2+4[/tex].

This function is now written in the form [tex]y=a(x-h)^2+k[/tex], where (h,k) is the extreme value(vertex).

The extreme value or the vertex is [tex](2,4)[/tex].

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Answer: minimum at( 2,4)

Step-by-step explanation:

A p e x

It’s right angle trig

WILL MARK BRAINLIEST!!!

Answers

c = 17.78

b = 12.12

............

Answer:

b = 12.1

c = 17.8

Step-by-step explanation:

First, we can solve for c by using sine: sin(47) = 13/c -> c = 13/sin(47) = 17.8 rounded to the nearest 10th.

Then, we can solve for b by using tangent: tan(47) = 13/b -> b = 13/tan(47) = 12.1 rounded to the nearest 10th.

I hope this helped you.

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