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Travka [436]
3 years ago
8

100 POINTS!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER AND STEP BY STEP EXPLANATION! PLEASE ANSWER BOTH QUESTIONS

Mathematics
2 answers:
liraira [26]3 years ago
7 0

Answer:

840cm^{2}

Step-by-step explanation:

8×6×15=720

5×6×4=120

720+120=840

3241004551 [841]3 years ago
6 0

Answer:

V= 840cm^3,   V=800cm^3

Step-by-step explanation:

First you want to calculate the volume of the entire imaginary prism, 12×15×6

=1080,

afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.

12-8=4            5-15=10

Now calculate the volume of the bite, 4×10×6

=240

Now take the bite out of the sandwich, 1080-240

= 840

Follow the same steps, though this time the sides of the "bite" are given.

10×12×8

= 960

4×5×8

= 160

960-160 = 800 cm

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Svetradugi [14.3K]

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Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

  • The adjacent to the angle ∠60° is 1/2.
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The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

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\frac{1}{2}=\frac{1}{2x}          ∵ cos (60°) = 1/2

2x=2

Dividing both sides by 2

\frac{2x}{2}=\frac{2}{2}

Simplify

x=1

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

y=\frac{\sqrt{3}}{2}       ∵  \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}

Therefore, the value of y is:

y=\frac{\sqrt{3}}{2}      

Summary:

  • x = 1
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Answer:

see explanation

Step-by-step explanation:

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