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Alona [7]
3 years ago
10

A slice is made parallel to the base of a right rectangular pyramid, as shown.

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer: 5 in²

Step-by-step explanation:

The sides of the square cross section are shown as 2.5 and 2 inches.

Multiply 2.5×2. = 5

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2. Irene wants to list the factors for 88. She
kati45 [8]

Answer:

Yes

Step-by-step explanation:

2•44=88

4•22=88

8•11=88

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.5 in 1.5 hours how much each hour
miv72 [106K]

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3 per hour

The drawing will help

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What is 0.129 divided by 0.3?
Alecsey [184]
You can multiply 0.129 and 0.3 by 10 each to make it a little easier to see what to do. 0.129 / 0.3 = 1.29 / 3 Simple long division will take you to 0.43
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In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm
allochka39001 [22]

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

25\cdot 24\cdot 23=\boxed{13,800} permutations. Because order matters (refer to explanation above), this is our final answer.

3 0
3 years ago
A football is passed through the air and caught at ground level for a touchdown. The height of the ball (h) is given by h= -d² +
IgorC [24]

Answer:

d = 6+sqrt(42)=12.4807407

Step-by-step explanation:

h= -d² + 12d + 6

The ball is caught at ground level  which means h=0

0 =  -d² + 12d + 6

Subtract 6 from each side

-6 = -d^2 +12d

Factor out a - sign

-6 =-(d^2-12d)

Divide by -1

6 = d^2 -12 d

Complete the square

-12/2 = -6  then square it = 36

Add 36 to each side

6+36 = d^2 -12d +36

42 = (d-6)^2

Take the square root of each side

±sqrt(42) = sqrt( (d-6)^2)

±sqrt(42) =  (d-6)

Add 6 to each side

6±sqrt(42) =  (d-6)+6

6±sqrt(42) =  d

d = 6+sqrt(42)=12.4807407

d =6- sqrt(42)=-.480740698

Since the distance cannot be negative

3 0
3 years ago
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