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3 years ago

9

A rectangle or pyramid has a volume of 1296 in.³, a height of 24 inches, and a base length of 6 inches. What is the width of its

base?

1 answer:

AlladinOne [14]3 years ago

6 0

Answer: base width = 27 in

Step-by-step explanation:

Base width = 3 x (V / hl)

3 x (1296 / 24 x 6)

3 x (1296 / 144)

3 x 9 = 27

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Find the smallest number in 9375*that will replace *so as to make it divisible by 8

german

3 would turn to 2

cause it can be dividable by 8

6 0

4 years ago

After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i

Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume ( $V$ ) is calculated by:

$V = \frac{4\pi}{3}\cdot R^{3}$

Where $R$ is the radius of the tumor.

The percentage decrease in the volume of the tumor ( $\%V$ ) is expressed by:

$\%V = \frac{\Delta V}{V_{o}} \times 100\,\%$

Where:

$\Delta V$ - Absolute decrease in the volume of the tumor.

$V_{o}$ - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

$\Delta V = V_{o}-V_{f}$

$\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})$

The percentage decrease is finally simplified:

$\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%$

Given that $R_{o} = R$ and $R_{f} = 0.77\cdot R$ , the percentage decrease in the volume of tumor is:

$\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%$

$\%V = 54.34\,\%$

The volume of the tumor experimented a decrease of 54.34 percent.

5 0

3 years ago

Triangle ABC has vertices located at A( 0, 2), B (2, 5), and C (−1, 7).

rodikova [14]

Step-by-step explanation:

all steps are in picture

6 0

3 years ago

what is the value of the the expression x+5/y^2 for x = 2/3 and y= 1/3. A. 17/27 B. 17. C.34. D.51

uysha [10]

Answer:

Step-by-step explanation:

x + 5/y^2

x = 2/3

y = 1/3

2/3 + 5 / (1/3)^2 Expand (1/3)^2

2/3 + 5 / (1/9) Put a 1 underneath the 5

2/3 + 5/1 / (1/9) Invert and multiply the second expression

2/3 + 5/1 * 9 Simplify 5/1

2/3 + 5* 9 Combine

45 2/3

I'm not getting any of these. It's possible I'm misreading the question, but what you've given is the result I got. All I can suggest is that you ask your teacher how this is done.

5 0

2 years ago

Bob's scores on his first 4 history tests were 55, 85, 58 and 77. To the nearest whole number, what is the mean of these scores?

Vilka [71]

Answer:

69

Step-by-step explanation:

55+85+58+77=275

275/4=68.75

Rounded=69

3 0

3 years ago