Part I: Multiple Choice

Which expression shows the area of the base of each pyramid? (One-fourth x) squared in.2 (One-third x) squared in.2 (One-half x)

777dan777 [17]

Answer:

(a) $Area = (\frac{x}{4})^2$

Step-by-step explanation:

The question is incomplete. (See comment for complete question).

From the completed question, we have:

$Total\ base\ length = x$

$n = 8$ --- number of pyramids

Required

An expression for the area of the base

The total base length of the pyramid represents the perimeter of the base.

And since the base is a square, then the following relationship exist.

$Total\ base\ length = 4L$

Where L represents the length of each side.

This gives

$4L = x$

Make L the subject

$L = \frac{x}{4}$

The area of the base is then calculated as:

$Area = L^2$

$Area = (\frac{x}{4})^2$

5 0

3 years ago

Read 2 more answers

The picture shows the number of colored shirts sold this week at Joan’s Clothing Shop. Joan assumes this trend will continue. Sh

lisov135 [29]

Answer:

She should order 96 orange shirts

Step-by-step explanation:

The picture is shown below.

From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.

If she assumes the trend is going to continue the number of orange she should order can be calculated below.

Let us find the ratio of orange shirt sold to the total colored shirt sold.

orange shirt sold / total colored shirt sold = 5/26

This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.

5/26 = x/ 500

cross multiply

2500 = 26x

divide both sides by 26

x = 2500/26

x = 96.15

x = 96 orange shirts

She should order 96 orange shirts

6 0

3 years ago

Read 2 more answers

Brain is solving the equation x^2 - 3/4x = 5. What value must be added to both sides of the equation to make the left side a per

katrin2010 [14]

To make a square for x²+bx=c, add( $\frac{1}{2} b$ )²on both side
in this case, b is-3/4, half of b is -3/8, and (-3/8)² is 9/64, so you add 9/64 to both side.

6 0

3 years ago

Solve the math problem

zalisa [80]

Answer:

$\frac{4w {}^{8} }{9m {}^{4} }$

Step-by-step explanation:

separate with like terms

$\frac{4}{9} , \: \frac{w {}^{9} }{w} \: and \: \: \frac{m {}^{5} }{m {}^{9} }$

the first fraction can be left alone as it can't be simplified any further

the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸

the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴

${m}^{ - 4} = \frac{1}{m {}^{4} }$