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bulgar [2K]
3 years ago
15

The width of a rectangular box is 8in. The height is one fifth the length x. The volume is 640 in^3 (inches cubed). What is the

height and length?
Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

Length is 20 in

Height is 4 in

Step-by-step explanation:

we are given

The width of a rectangular box is 8in

so, W=8

The height is one fifth the length

Let's assume length =x

L=x

H=\frac{1}{5}x

now, we can find volume

V=L\times W\times H

we can plug

640=x\times 8\times \frac{1}{5}x

now, we can solve for x

\frac{8}{5}x^2=640

x^2=400

x=20

so, L=20 in

H=\frac{1}{5}\times 20

H=4

So,

Length is 20 in

Height is 4 in

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2 years ago
The product of two numbers is 41. One of the numbers
shepuryov [24]
<h3>Answer:   5 - 4i     (choice A)</h3>

===================================================

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i  

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note:  I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

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What is the measure of ∠RST ?
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Remember that all the interior angles of a triangle add up to 180°.

The picture tells us two of the angles, \angle R which is 40° and \angle T which is also 40°.

Subtract the measurement of these two angles from 180° to find the measure of the third angle, \angle RST:
180° - 40° - 40° = 100°.

The measure of angle RST is 100°.

-------

Answer: 100°



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