find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches. (6 points) 4 inches 8 inches 16 inches 24 inches

Answers

Answer 1

Answer: To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).

Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
a = 16 in

Thus, the length of the base is 16 in.

Answer 2

Answer:

Answer:

16 inches

Step-by-step explanation:

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Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.A. Yes, because the sum of any two multiples of 4 is also a multiple of 4. B. Yes, because the sum of any two multiples of 4 is also a multiple of 8. C. No, and a counterexample is –4 + (–8) = –12. D. No, and a counterexample is 26 + 16 = 42.
Write the following comparison as a ratio reduced to lowest terms. 85 minutes to 8 hours
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Susana drove 125 miles in 5 hours. What is her average speed in miles per hour? a) 25 mph b) 30 mph c) 35 mph d) 40 mph

Answers

Answer: a) 25 mph

Explanation:

To find the average speed, we need to divide the total distance by the total time. Here, we have Susana driving a total distance of 125 miles with a time of 5 hours.

We can calculate the average speed by dividing the total distance driven by the total time driven.
125 miles / 5 hours = 25 miles/hour

This gives us answer option a, the average speed of Susana is 25 mph.

Answer:

The average speed is 25 mph

Step-by-step explanation:

We can calculate average speed by dividing the distance and the time interval:

average speed = (total distance traveled/time interval)

= (125 mi/5 hours)

= 25 mph

Her average speed is 25 mph.

a) 25 mph

4m + 9 + 5m - 12 = 42

Answers

First, combine like terms.

4m+5m = 9m

9m + 9 - 12 = 42

9-12= -3

9m - 3 = 42

Second, apply the inverse operation to isolate the variable.

9m - 3 = 42
+3 +3

9m = 45

Third, divide 9 by both sides to solve for m.

$(9m)/(9) = (45)/(9)$

m = 45/9

m = 5

Answer: $m = 5$

4m+9+5m-12=42 is 5. m= 5.

Displacement vectors of 3m and 5m in the same direction combine to make a displacement vector that is.a. 2m.b. 0m. c. 8m. d. 15m

Answers

Displacement vectors is 2m

Displacement vectors:

Given that;

Same length direction of 3m and 5m

Given direction is same

Find:

Displacement vectors

Computation:

Displacement vectors = 5m - 3m

Displacement vectors = 2m

Find out more about 'Displacement vectors'

brainly.com/question/12002625?referrer=searchResults

4k^2(-3k^2 - 4k + 5) A. -12k^4 - 16k^3 + 20k^2
B. 12k^4 - 16k^3 + 9k^2
C. -12k^3 + 20k
D. k^4 + 9k^2

Answers

Hello,

Answer A for 4k²*5=20k²
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If I have a budget of 1,325 for renting a conference room for 26 people and the room is 270, which inequality can i use to find the amount I can spend on lunch foe each person?

Answers

$1325 \geq 26x +270$

First, let's break down what this inequality means. 1,325 is the budget. 270 is the cost of the conference room. 26 is the number of people. That leaves x to be the amount you spend on lunch for each person.

So the budget is 1,325 and you are trying to find a value to fit into that price range which means it has to be less than or equal to 1,325. To do that, you already know that the conference room will cost 270 no matter what so you have to add that to the the amount for lunch which means you are subtracting it from the total cost of the budget.
$1055 \geq 26x$

Then you divide what's left of the budget by the number of people.
$(1055)/(26) \geq x$

That leaves you with x which is the amount you can spend on lunch per person.
I finished it off for you and got $40.58 \geq x$ which is the same as $x \leq 40.58$

That means you can spend less than or equal to in other words at most $40.58 on lunch per person.

3(x-2)>-3
solve each inequality

Answers

divide each side by the number that does not contain a variable
answer is x>1

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