!!HELP ASAP!! What is the surface area of the rectangular pyramid below?
A. 2197 units
B. 312 units
C. 1026 units
D. 507 units

Answer:

C(t) = 6 + .4t

Step-by-step explanation:

Since there is a constant rate of 6 for the first 5 minutes, that would be a value itself. After that, it would always differ by .4 every minute, making this the function.

Answer:

[tex]\angle ACD = 130 ^\circ[/tex].

Step-by-step explanation:

[tex]\angle ABC[/tex] and [tex]\angle EBC[/tex] are supplementary angles. Their sum should be [tex]180^\circ[/tex].  [tex]\angle EBC = 120^\circ[/tex] [tex]\implies \angle ABC = 180^\circ - \angle EBC = 180^\circ - 120^\circ = 60^\circ[/tex].

The sum of the three angles in triangle [tex]\triangle ABC[/tex]: [tex](\angle ABC + \angle BAC + \angle ACB)[/tex] should be equal to [tex]180^\circ[/tex].

[tex]\angle ABC = 60^\circ[/tex] and [tex]\angle BAC = 70^\circ[/tex] [tex]\implies \angle ACB = 180^\circ - \angle ABC - \angle ACB = 180^\circ - 70^\circ - 60^\circ = 50^\circ[/tex].

[tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] form another pair of supplementary angles. Their sum should also be [tex]180^\circ[/tex]. [tex]\angle ACB = 50^\circ[/tex] [tex]\implies \angle ACD = 180^\circ - \angle ACB = 180^\circ - 50^\circ = 130^\circ[/tex].

Answer:

sum should also be . .

Step-by-step explanation:

The specific answer is

7.74596669241

Answer:

yes (if no payments are made)

Step-by-step explanation:

If you have no new charges and you make no payments, you will incur interest costs every month.

Hence yes, you balance will increase by amount of interest owed.

Answer:

55°

Step-by-step explanation:

The angle 305° is in the fourth quadrant

To find the related acute angle ( the reference angle ) subtract from 360°

reference angle = 360° - 305° = 55°

Answer:

y= 12x-16

Step-by-step explanation:

Given that you have a slope of 12 and a point of (3, 20), you are most obligated to using the Slope-Intercept form, or y=mx+b.

What this allows you to find is the y-intercept if your line has one. You take your point, (3,20), and you insert the values at the appropriate places. You should now have 20=12(3)+b. You will then solve for b by multiplying 12 and 3 to get 36 and subtract that from both sides of the equal sign. You should have 20-36=b. 20-36 is -16, which is your y-intercept.

Now you know all your needed values, you would write the Slope-Intercept form without the values for y and x, to represent your equation.

Since 12 is your slope, it will be 'm' and -16 will be 'b'.

You will end with y = 12x - 16.

Given:

Line passing through,

Slope,

The equation will be:

→ [tex]y - y_1 = m(x-x_1)[/tex]

By substituting the values,

→ [tex]y-20=12(x-3)[/tex]

→ [tex]y-20=12x-36[/tex]

          [tex]y = 12x-16[/tex]

Thus the above answer is right.

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Final answer:

To find the ratio of green to total skittles, divide the number of green skittles by the total number of skittles and simplify the fraction. The ratio of green to total skittles is 1:5.

Explanation:

To find the ratio of green to total skittles, we need to divide the number of green skittles by the total number of skittles and simplify the fraction.

Ratio = Number of green skittles / Total number of skittles

Ratio = 13 / 65

Since 13 and 65 are both divisible by 13, we can simplify the fraction to:

Ratio = 1 / 5

Therefore, the ratio of green to total skittles is 1:5.

Michelle will have $28200 in account after one year.

Step-by-step explanation:

Given ,

P ( Principle amount )= $2000

r ( rate of interest)= 2.10% per month

n (number of times rate of interest is applied) = 12

t ( time period ) = 1 years

Compound Interest = P ( 1 + r/n ) * n*t

⇒  [tex]2000 (1+2.10/12) * 12*1[/tex]

⇒ [tex]2000*12*1.175[/tex]

⇒ 28200

Michelle will have $28200 in account after one year.

Answer:

20%

Step-by-step explanation:

If 10 goes to 12, that means there was an increase of 2. 2/10 is, in decimal form, 0.2. To change a decimal into a percentage, you multiply it by 100, giving you 20.

Answer:

1:4

Step-by-step explanation:

1:4=11:44

The percent error in the kitchen scale's measurement is found using the formula ((Measured Value - Actual Value) / Actual Value) × 100%, resulting in a 25% error when comparing the scale's reading of 2 pounds to the actual weight of 1.6 pounds.

The question asks to find the percent error for a kitchen scale when measuring the weight of a piece of fruit. The percent error is a way of comparing the accuracy of a measurement to the actual value, and it's calculated using the formula: Percent Error = ((|Measured Value - Actual Value|) / Actual Value) × 100%. In this case, the measured value is 2 pounds and the actual value is 1.6 pounds.

First, subtract the actual value from the measured value: 2 - 1.6 = 0.4 pounds. Then, divide this difference by the actual value: 0.4 / 1.6 = 0.25. Finally, multiply by 100% to find the percent error: 0.25 × 100% = 25%.

Therefore, the percent error for the kitchen scale is 25%. This calculation helps in understanding the accuracy and reliability of measurements taken by the scale.

Answer:

Radius is 5/2 or 2.5 inches

Step-by-step explanation:

C = 2πr

5π/2π = 2πr/2π

5/2 = r

Answer:  Radius is 5/2 or 2.5 inches

Answer:

Step-by-step explanation:

8.40 ×10°

Answer:

eight and four tenths

Step-by-step explanation:

Answer:

The ball lands  18 feet from where it is kicked.

Step-by-step explanation:

Given : The path of a ball kicked from the ground can be modeled by the equation [tex]y=-\frac{1}{3}(x-3)(x-21)[/tex], where x and y are measured in feet. The x-axis represents the ground.

To find : How far does the ball land from where it is kicked?

Solution :

According to question,

The value of y is zero as it is kicked from ground.

So, [tex]0=-\frac{1}{3}(x-3)(x-21)[/tex]

Applying zero product property,

[tex]a\cdot b\cdot c=0\Rightarrow a=0\text{ or }b=0\text{ or }c=0[/tex]

i.e. [tex]-\frac{1}{3}\cdot (x-3)\cdot (x-21)=0[/tex]

[tex]x-3=0[/tex]

[tex]\Rightarrow x=3[/tex]

[tex]\text{ or }x-21=0[/tex]

[tex]\Rightarrow x=21[/tex]

The distance the ball land from where it is kicked is d=21-3=18.

Therefore, the ball lands  18 feet from where it is kicked.

The ball lands 18 feet from where it is kicked.

To find out how far the ball lands from where it is kicked, we need to determine the horizontal distance traveled by the ball when it hits the ground again. The x-axis represents the ground, so we are looking for the x-coordinate of the point where the ball lands, which is when y = 0.

Given the equation of the path of the ball:

[tex]\[ y = -\frac{1}{3}(x - 3)(x - 21) \][/tex]

We set y to 0 to find the x-coordinates where the ball touches the ground:

[tex]\[ 0 = -\frac{1}{3}(x - 3)(x - 21) \][/tex]

This equation can be factored to:

[tex]\[ 0 = (x - 3)(x - 21) \][/tex]

Setting each factor equal to zero gives us two solutions for x:

[tex]\[ x - 3 = 0 \quad \text{or} \quad x - 21 = 0 \][/tex]

[tex]\[ x = 3 \quad \text{or} \quad x = 21 \][/tex]

These solutions represent the x-coordinates where the ball is kicked (x = 3) and where it lands (x = 21). To find the distance between these two points, we subtract the smaller x-coordinate from the larger one:

 [tex]\[ \text{Distance} = 21 - 3 = 18 \text{ feet} \][/tex]

However, since the ball is kicked from the ground and lands back on the ground, the distance it travels horizontally is the absolute value of the difference between the two x-coordinates:

[tex]\[ \text{Horizontal distance} = |21 - 3| = |18| = 18 \text{ feet} \][/tex]

Answer:

D

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

Use the distributive property:

  (y^2 +3y +7)(8y^2 +y +1)

  = y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)

  = 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7

  = 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7

  = 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice

Answer:

3,220

Step-by-step explanation:

3220 is how much food you will need for both elephants

Answer:

(5m^3+4)(5m^3-4)

Step-by-step explanation:

(*) A^2 - B^2 =(A+B) (A-B)

25m^6-16=

(5m^3)^2 - 4^2=(*)

(5m^3+4)(5m^3-4)

Answer:

12.5 pages

Step-by-step explanation:

32/2= 16 min per page

200/16= 12.5 pages

or

200/x = 32/2

200/32= 6.25

6.25*2= 12.5

Answer:

Step-by-step explanation:

12.5

because you divide and then multiply it by 2

Answer:

x=12, y=[tex]12 \sqrt{3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

sinθ= opp/hyp

cosθ= adj/hyp

Answer:

Look for the parallelograms  , or squares , or rectangles . Those quadrilaterals are usually trapezoids .

Step-by-step explanation:

Answer:

You cna have trapezoid and isosceles trapezoid both have either inward end lengths and parallel lines so some look like a flat roof with identical slant. one going one way and the other slant going the other.

Step-by-step explanation:

Answer:

351.9 cubic in

Step-by-step explanation:

The volume of a cylinder is hr²π.

r is half the diameter, so 8/2 is 4.

Plug in your h and r and get:

7 * 4² * π

7 * 16 * π

112π

Multiply the π and you'll get about 351.9 cubic in

The volume of the cylinder is 352 cu.inches.

A cylinder is a three-dimensional figure, it is made up of parallel circular discs of the same radius.

The cylinder consists of two circular bases, connected by a curved surface at a fixed distance.

A cylinder has a base diameter of 8 inches and a height of 7 inches.

The volume is the space occupied by a three-dimensional object.

The volume of the cylinder is given by the formula

V = πr²h

Here, r is the radius of the base,

h is the height of the cylinder.

The volume is determined in cubic units.

The value of r = diameter / 2

r = 8/2 = 4 inches

h = 7 inches.

Substituting these values in the formula to determine the volume,

Volume = (22/7) * 4² * 7

Volume = (22/7) * 16 * 7

Volume = 22 * 16

Volume = 352 cu.inches

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Answer:

192

Step-by-step explanation:

You can form a rectangle from sides 15 and 3, another rectangle with dimensions 10 and 9, another rectangle with dimensions 6 and 5, and a triangle with sides 9 and 6 (all formed by extending lines inside the figure, don't want to go into detail). Add all the areas and the answer would be 192:

15*3 =45

10*9=90

6*5=30

0.5*9*6=27;

45 + 90 +30 + 27 = 192 units squared

Option 1. [tex](-2)(5x) + (-2)(-\frac{3}{4})[/tex] and option 4.[tex]-10x + \frac{3}{2}[/tex] are equivalent to [tex]-2(5x-\frac{3}{4} ).[/tex]

Step-by-step explanation:

Step 1:

The given expression is expanded as follows.

The -2 is multiplied with the 5x and then the -2 is multiplied with the [tex]-\frac{3}{4}[/tex].

So the expression becomes as follows;

[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}).[/tex]

This is the first option given so the first expression is equivalent.

Step 2:

[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}) = -10x + \frac{6}{4} = -10x + \frac{3}{2} .[/tex]

Of the other four options, only the fourth expression has the fraction [tex]\frac{3}{2}[/tex] so the fourth expression is also equivalent.

Expressions 1 and 4 are equivalent to the given expression.

Equation is y = -1/4x + 5

Step-by-step explanation:

⇒ y = -1/4x + 5

Answer:

Yes, it could be a triangle.

Step-by-step explanation:

If the Pythagorean Theorem is satisfied, then these three side lengths represent a right triangle:  

21^2 + 28^2 = 36^2  =>  1225 = 1296  FALSE; we don't have a right triangle here.

However, the sum 21 + 28 is greater than 36, so we could indeed construct a triangle from these 3 side lengths.  It just wouldn't be a right triangle.

Each drink costs $3.25 and each popcorn costs $8.

Step-by-step explanation:

Step 1:

Assume each drink costs x dollars and each popcorn costs y dollars.

From the given data, we can write the following equations;

[tex]12x + y = 47[/tex], take this as equation 1,

[tex]3x+9y=81.75[/tex], take this as equation 2.

Step 2:

We multiply equation 2 with 4 so we can cancel out the variable x in both equations. By doing this we get

[tex]3x+9y = 81.75[/tex], take this as equation 3. When we subtract 3 from 1, the x variable is canceled out and y can be calculated.

[tex]-35y = -280, y = \frac{280}{35} = 8[/tex]

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y is substituted in equation 1.

[tex]12x+8 = 47, 12x= 39[/tex],

[tex]x=\frac{39}{12} = 3.25[/tex]

So we have x = $3.25 and y = $8. So each drink costs $3.25 and each popcorn costs $8.

Hence the value of x is 8

Answer:

8

Step-by-step explanation:

12/x = 3/2

(x)(12/x)=3/2x

12=3/2x

(12)(2/3)=x

8=x