The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 124.2 cubic cm?

Answer:

Step-by-step explanation:

order of PEMDAS

simplify multiplication:

[tex] \displaystyle \: \sqrt{ {65}^{2} } [/tex]

use [tex]\sqrt{x^m}=x^{\frac{1}{2}\times m}[/tex] to simplify:

[tex] \displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1} [/tex]

as we know x¹=x

therefore our final answer is

Answer:

[tex]65[/tex]

[tex] \sqrt{65 \times 65} \\ = 65[/tex]

Answer:

5 - 2 = 3

Step-by-step explanation:

Replace m with 2 since m=2

Answer:

3

Step-by-step explanation:

If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.

Answer:

x = 96

Step-by-step explanation:

x = 180 - (34 + 50)

x = 180 - 84

x = 96

You are smart, remember that! You just have a little trouble with this problem, that's all!

Hope that helps!

-Sabrina

Answer:

His car would be worth $15,502.24

Step-by-step explanation:

20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to  the closest number which is $15,502.24

Answer:

IDEK

Step-by-step explanation:

Answer: i d k

Step-by-step explanation:

Answer:

QS is a triangle. Because QS are connected and split down the middle which made a triangle.

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

rise over run | you rise up 5 everytime and you go right 2 everytime

Answer:

3y-4

Step-by-step explanation:

y+7×3-3

(y×3)+7-3

3y-4

Step-by-step explanation:

The equation is y = -3x + 6.

Answer:

3y = 5x + 15

Step-by-step explanation:

Slope = Change in y-cordinates

---------------------------------

Change in x-cordinates

= 0 - (-5)/-3 - (-6)

= 5/3

Using point (-3,0)

y - y1 = m(x - x1)

y - 0 = 5/3 (x - (-3))

y = 5/3 (x + 3)

Expand the bracket

y = 5x/3 + 15/3

Multiply through by 3

3y = 5x + 15

Answer:

link to answer

https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/

Answer:

This is 0.002 but I think you mean

36 divided by 1/12=

3

Answer:

0.343283582

HOPE IT HELPS

Answer:

57.475 ft2

Step-by-step explanation:

12.1x9.5= 114.95

114.95/2= 57.475

Answer:

[tex]\Huge\boxed{57.475 ft^2}[/tex]

Step-by-step explanation:

Hello there!

The following figure shown is a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base and h =height

The height of the triangle is 12.1 ft and the base length is 9.5ft

Knowing this information all we have to do is plug in the values into the formula

[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]

So we can conclude that the area of the triangle is 57.475 square feet

Answer:

√(564×564)=√564²=±564

Answer:

[tex]±564.[/tex]

Step-by-step explanation:

[tex] \sqrt{564 \times 564} [/tex]

[tex] \sqrt{ {564}^{2} } [/tex]

[tex]±564.[/tex]

Answer:

First one is 4 and the second one is 0

Step-by-step explanation:

Answer: 3.13

Step-by-step explanation:

Answer:

9.52

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a given figure is a 2 dimensional measurement which describes the amount of space occupied by the figure, while volume of the figure describes its capacity in a 3 dimensional measurement.

The surface area of a triangular prism is the sum of the areas of all its surfaces. Since the surface area considers the areas of the figure not volume, therefore the surface area of the triangular prism is measured in square units not cubic units.

Answer:

y=4x+3

Step-by-step explanation:

Find the intercept - that is 3

Find the slope - that is 4

Answer:

Step-by-step explanation:

This is a cyclic quadrilateral.

It has a property of opposite angles being supplementary.

A and C are supplementary angles:

m∠A = 3x + 6 = 3*43+ 6 = 135°

Answer:

<A=135°

Step-by-step explanation:

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Answer:

1.42 x 10^8

Step-by-step explanation:

For a number to be in scientific notation, it has to be between 1 and 10, so for it to meet that criteria, we would have to put the decimal point between the 1 and 4. The exponent is equal to the amount of numbers after the decimal point. We know that we have 2 numbers with the 4 and 2, and if you add all the 0s to that, we get 8. So the exponent will be 8. We add those two elements together, we get our answer, 1.42 x 10^8.

I hope that this helps :)

Answer:

b = -6.307 or -11.693

Step-by-step explanation:

[tex]b^{2} +9b +13\\[/tex]

This can't be factored so you need to use the quadratic formula which is

-b ± [tex]\frac{\sqrt{b^{2} -4ac}}{2a}[/tex]

Plugging the numbers from the equation in, it's

-(9) ± [tex]\frac{\sqrt{(9)^{2}-4(1)(13) } }{2(1)}[/tex]

This simplifies down to b = -6.307 or -11.693.

These are both real solutions.

Answer:

b = -6.307 or -11.693

Step-by-step explanation:

hope it helps credits to first guy tho

Answer:

36

Step-by-step explanation:

9 times 4

Answer:

x³

Step-by-step explanation:

Given that length of packaging box = length of block = x

The volume of a box is given as : a³

Where a is the side length ;

In this scenario, x = a

Hence, volume of Block = x³

Answer:

Step-by-step explanation:

11728x6

 cm3

Step-by-step explanation:

answer=-1

Answer:

x= 5/2 x= (±sqrt13)/2

Step-by-step explanation: