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3 years ago

How can you write 8⁴•7⁴ as a single power?

Mathematics

1 answer:

Bas_tet [7]3 years ago

4 0

(8•7)^4 is the correct answer

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Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Nitella [24]

Answer:

$x = 6.99in$

Step-by-step explanation:

Given

$l =2in$

$Volume = 72.66in^3$

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

$Base\ Area= \frac{3\sqrt 3}{2} * 4$

$Base\ Area= 3\sqrt 3 * 2$

$Base\ Area= 6\sqrt 3$

Side x represents the height.

So, we have:

$Volume = Base\ Area*x$

Make x the subject

$x = \frac{Volume }{ Base\ Area}$

$x = \frac{72.66in^3}{6\sqrt 3 in^2}$

$x = \frac{72.66}{6\sqrt 3}in$

$x = \frac{12.11}{\sqrt 3}in$

$x = 6.99in$ --- approximated

6 0

3 years ago

Find the value of x in given expression<br><br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%2024%20%2B%2025"

zepelin [54]

Answer:

$x = 7 \: or \: - 7$

Step-by-step explanation:

...............maybe

5 0

2 years ago

Read 2 more answers

Item 8

disa [49]

Answer:

452.39 mm^2

Step-by-step explanation:

Area of a circle = $\pi$ r^2

Here r = 12mm

Therefore, Area= $\pi$ x 12^2 = 452.389342...

Round to required degree of accuracy = 452.39mm^2

Hope this helps

8 0

2 years ago

Which is bigger 96 oz or 5 lb

zheka24 [161]

5lbs is bigger, 16 ounces in a pound

3 0

2 years ago

Read 2 more answers

Mr. Smith tells you that a right triangle has a hypotenuse of 19 and a leg of 10. He asks you to find the other leg of the trian

ad-work [718]

Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16 which is rounded to the nearest hundredth.

Step-by-step explanation:

10^2 + b^2 = 19^2

100 + b^2 = 361

-100 -100

b^2 = 261

b= $\sqrt{261}$

3 0

3 years ago