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bulgar [2K]
3 years ago
9

a rectangular prism has a height of 12 centimetres and a square base with sides measuring 5 centimetres, a pyramid with the same

base and half the height of the prism is place inside the prism, the volume of the space outside the pyramid but inside the prism is?
Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Description:

The base of the prism is a square with sides measuring 5 cm, so its area is

(5cm)*(5cm)= 25 square cm

So the volume of the prism, in cubic cm, is

25*12=300

The volume of a pyramid is (1/3)(area of base)(height) .

It is 1/3 of the volume of a rectangular prism with the same base and height.

So the volume of the pyramid in this problem, in cubic cm, is

1/3*300=100

So the volume of the space outside the pyramid but inside the prism, in cubic cm, is

300-100= 200

Answer: =200

Please mark brainliest

<em><u>Hope this helps.</u></em>

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adoni [48]

Answer:

a. 8 outcomes

b. Discrete Variable

c. See explanation below

Step-by-step explanation:

a.

Let N = No Offers made

Let Y = Offers made

The Expected outcome are as follows:

NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY

= 8

b.

Let x = number of offers made

X is said to be discrete if x can take values that are restricted to a defined or limited values

X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)

Looking at the brief description above, we can conclude that x is discrete

c.

NNN, 0

NNY, 1

NYN, 1

YNN, 1

NYY, 2

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5 0
3 years ago
What values of b satisfy 4(3b + 2)2 = 64?
Vikentia [17]
Given the equation 4(3b + 2)² = 64, dividing both sides of the equation by 4, we have (3b + 2)² = 16 and getting the square root of both sides, (3b + 2) = 4 and (3b + 2) = -4 We can solve for b for each equation and have 3b = 2 | 3b = -6 b = 2/3 | b = -2 Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
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3 years ago
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
Fantom [35]

Answer:

<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>

Step-by-step explanation:

The given system is

y=2x-5\\2y-4x=a

<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.

Having said that, the first thing we should do here is reorder the system

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This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is

y=2x-5\\2y=4x-10

So, by multiplying such factor, we obtaine the second equation. Observe that a must be equal to 10, that way the system would have infinitely solutions.

Therefore, the answer is 10.

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sertanlavr [38]

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