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Alex17521 [72]
3 years ago
9

An aquarium in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide and 8 inches high. What is the total am

ount of water needed, to the nearest cubic inch, to fill 90% of the aquarium with water?
Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answer:

The total amount of water needed is 540 cubic inches.

Step-by-step explanation:

A cubic prism has three dimension. Lenght l, width w and height h.

It's volume is:

V = l*w*h

In this question:

l = 12.5, w = 6, h = 8

Dimensions in inches, so the volume will be in cubic inches.

V = 12.5*6*8 = 600

The volume is 600 cubic inches.

What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the aquarium with water?

This is 90% of 600. So

0.9*600 = 540

The total amount of water needed is 540 cubic inches.

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What is the length x of the right triangle, rounded to the nearest<br> tenth?
Zarrin [17]

Answer:

109.5; B

Step-by-step explanation:

From your identity,

CosA = adjacent/ hypothenus

A represent an arbitrary angle between the sides in question.

In the question above, A=64

Hypothenus is the longest side and adjacent is the side just below the angle .

In the above case,

Hypothenus= X

adjacent =48

This means;

Cos64 = 48 /X

X = 48 / cos64; [ from cross multiplication and diving through by cos64]

X = 48 /0.4383 [ cos64 in radian = 0.4383]

= 109.51

= 109.5 to the nearest tenth.

Note( do your calculation of angle in radian or else, you won't get the answer)

6 0
2 years ago
Question 2
cluponka [151]

Answer:

4:5

Step-by-step explanation:

28:35

28/7:35/7

4:5

hopefully this helps :)

4 0
2 years ago
Need Help ASAP!
poizon [28]
No the solution should only be X=1
5 0
2 years ago
Determine the missing side length
soldier1979 [14.2K]

Answer:

√85

Step-by-step explanation:

The given shape is a right angled triangle.

Let the missing side length be " x ".

By Pythagoras theorem,

x² = 6² + 7²

x² = 36 + 49

x² = 85

x = √85

Therefore, the missing side length be √85.

8 0
2 years ago
In quadrilateral QRST, angle rst measures (5x + 15)o. Angle TQR measures (4x + 3)o.
sattari [20]
2(5x + 15) + 2<span>(4x + 3) = 360
10x + 30 + 8x + 6 = 360
18x = 324
    x = 18

so

RST = </span><span>5x + 15 = 5(18) + 15 = 105

answer

RST = 105 degree</span>
4 0
3 years ago
Read 2 more answers
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