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2 years ago

6

What is the length of a side of the cube shown with given volume?

1 answer:

Zielflug [23.3K]2 years ago

3 0

Hello there! So a cube has side lengths that are all equal and the formula for volume is l * w * h. If you raise the answer choices to the 3rd power, you see that 9³ is equivalent to 729, which is the volume we're looking for. The length of the side of the cube is 9 ft. The answer is B: 9 ft.

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Given that sin 2x = cos(2x - 30). Find the value of tan x.

Paul [167]

Answer:

x=30o+n90on∈Z

Step-by-step explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

4 0

2 years ago

Read 2 more answers

a student showed the steps below while solving the equation 14=log5(2x-3) by graphing. which step did the student make the 1sr e

mixer [17]

Answer:

$x= \frac{5^{14}+3}{2}$

Step-by-step explanation:

The correct steps to solve the equation are:

$14=log_5(2x-5)$

$5^{14}=5^{log_5(2x-3)}$

Because $a^{log_am}=m$

So, solving we get:

$5^{14}=2x-3$

Sum 3 on every side:

$5^{14}+3=2x-3+3\\5^{14}+3=2x$

Dividing by 2 into both sides:

$\frac{5^{14}+3}{2}=\frac{2x}{2}\\\frac{5^{14}+3}{2}=x$

So, the answer is $x= \frac{5^{14}+3}{2}$

7 0

2 years ago

Elizabith uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of tril mix if each serving contains the same

d1i1m1o1n [39]

1.55 ounces of granola and 0.7 ounces of raisins in each serving

5 0

2 years ago

Evaluate the expression (35+ 7) {6 – 5).

Fantom [35]

Answer:

The answer is 41

Step-by-step explanation:

(35 + 7) (6 - 5)

(42) × (1) = 41

Thus, The answer is 41

<u>-TheUnknownScientist</u>

8 0

2 years ago

Betsy caught three fish. The weights of the fish were 3 lb 2 oz, 2 lb 11 oz, and 2 lb 8 oz. What was the total weight of the thr

UkoKoshka [18]

Answer:

8 lbs 5 oz

Step-by-step explanation:

When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.

There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.

you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.

5 0

2 years ago