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3 years ago

8

The formula for the volume of a cube is V = s3, where s is the length of each side. What is the volume of a cube if each side me

asures 1/4 feet?

1 answer:

Whitepunk [10]3 years ago

6 0

The answer is 1

HHOPE THIS HELPS!!!!!!!

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James and Sarah went out to lunch. The price of lunch for both of them was $40. They tipped their server 20% of that amount. How

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Each person paid $24.

Step-by-step explanation:

1. Find 20% of 40. Since 20% is equal to 1/5, we can divide 40 by 5 to get 8. Together they tipped $8.

2. We know that the total amount they paid was $48, so we divide that in half to get the answer. 48 divided by 2 is 24.

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Solve the following triangle. Given A=51 degrees b=40 c=45

STALIN [3.7K]

Answer:

$a=36.87\ units$

$B=57.47^o$

$C=71.53^o$

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

$a^2=b^2+c^2-2(b)(c)cos(A)$

substitute the given values

$a^2=40^2+45^2-2(40)(45)cos(51^o)$

$a^2=1,359.4466$

$a=36.87\ units$

step 2

Find the measure of angle B

Applying the law of sines

$\frac{a}{sin(A)} =\frac{b}{sin(B)}$

substitute the given values

$\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}$

$sin(B)=\frac{sin(51^o)}{36.87}{40}$

$B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o$

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

substitute the given values

$51^o+57.47^o+C=180^o$

$108.47^o+C=180^o$

$C=180^o-108.47^o=71.53^o$

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3 years ago