The volume of a pyramid with a square base is 99 mm3 and the height is 9.5 mm. What is the length of each side of the base?

Answers

Answer 1

Answer: volume of pyramid is
V=(1/3)LWH
since it is a square pyramid, L=W
V=(1/3)L^2H
H=9.5
V=99

99=(1/3)L^2(9.5)
times 3/1 both sides
297=L^2(9.5)
divide boh sides by 9.5
31.263157894736842105263157894737=L^2
square root both sides
5.5913466977765599922751590799034=L=W

the legnth of each side is 5.5913466977765599922751590799034mm

Answer 2

Answer: The formula for the volume of a square pyramid is V=Bh
Plug in the numbers you are given: 99=B(9.5)
Divide (9.5) from both sides: 99/9.5 = B
You get approximately 10.42105
B= s*s = s^2
So, 10.43=s^2
sqrt 10.43=s

S= approx. 3.22

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seven hundred twenty

4-9x= -14 solve the inequality.

Answers

The solution to the given inequality 4 - 9x ≤ -14 is x ≥ 2.

To solve the inequality 4 - 9x ≤ -14, we can follow these steps:

Step 1: Subtract 4 from both sides of the inequality:

4 - 4 - 9x ≤ -14 - 4

-9x ≤ -18

Step 2: Divide both sides of the inequality by -9. Remember, when dividing by a negative number, we need to reverse the inequality sign:

(-9x) / -9 ≥ (-18) / -9

x ≥ 2

Therefore, the solution to the inequality 4 - 9x ≤ -14 is x ≥ 2.

This means that any value of x that is greaterthan or equal to 2 satisfies the inequality.

Learn more about inequalities here:

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The correct question is as follows:

Solve the inequality.

4-9x ≤ -14

4 - 9x = -14
4 - 4 - 9x = -14 - 4
9/9x = -18/9
x = -2

10 q
uarts = ____ cups

Answers

10 quarts = 40 cups Explanation: Each quart is equal to 2 pints. So 10 multiplied by 2 is 20 pints. Each pint is equal to 2 cups. So 20 multiplied by 2 is 40.

There are 4 cups in a quart so 4 x 10 would be 40 cups. Hope i helped

Carla and rob left a 20% tip after having lunch at a restaurant the amount of the tip was $6 Carla's lunch cost $15 which equation can you use to find x, the cost of robs lunch

Answers

This question is a little tricky. Carla had a bill of $15, which we will add to the cost of Rob's lunch. They left a 20% tip on the TOTAL cost of both their lunches, which should equal $6. 20% is equivalent to 0.2. So, the equation is 6=0.2(x+15). In other words, 20% of the sum of Carla and Rob's lunches is 6 dollars.

Answer: 6=0.2(x+15)

I need to factor 5a^2 + 7a + 6b^2 - 4b but I can't figure it out.......could it possibly be prime?

Answers

I kind of forgot how to do it but here is what I know so far : first you separate the two parts into (5a^2 + 7a) + (6b^2-4b). This process is called grouping. Now you find the greatest common factor in both of them which later your equation will be a(5a + 7) +2b(3b - 2). That is all I can remember so hope that helped

HELP ASAP!! 10 POINTS!!!

Answers

Answer:the first one

Step-by-step explanation: none have the same y

The answer is first one!!

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