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aalyn [17]
3 years ago
11

A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same

height?
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

30 cubic feet

Step-by-step explanation:

Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.

For that we need to use the theorem which says that

the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.

Volume of Rectangular prism = \frac{1}{3} * Volume of rectangular pyramid

=  \frac{1}{3} * 90

= 30

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AB = 3 + x
strojnjashka [21]

Answer:

Option A) 4, 2

Step-by-step explanation:

We are given that quadrilateral ABCD is a  parallelogram with sides:

AB = 3 + x\\DC = 4x\\AD = y + 1\\BC = 2y

Since the opposite sides of a parallelogram are equal, we can write:

AB = DC\\AD=BC

Equating the sides we get,

\Rightarrow 3+x = 4x\\4x-x = 3\\3x = 3\\x = 1\\\Rightarrow y + 1 = 2y\\y = 1

Putting the values of x and y, we get:

AB = 3 + x =4\\DC = 4x =4\\AD = y + 1=2\\BC = 2y=2

Thus, the lengths of the opposite side pairs is 4,2.

4 0
2 years ago
Pleasee help me I just wanna go to sleep already :c
Lunna [17]

Answer: 17 is A and 18 is B

Used a calculator to add them all up! Get some sleep hope this helps.

17) 2(3x8)+2(3x6)+2(6x8) = 180

18) 4(9x2)+2(9x9) = 234

8 0
2 years ago
Simplify the expression: 19 - ( -43 )<br><br>Please help
lions [1.4K]

Simplify the expression:

answer: 62

Hope this helps! :)

~Zane

8 0
3 years ago
11. PLS help!!! the question is attached in the image below
Colt1911 [192]

Answer:

y = 3/2x-5/2

Step-by-step explanation:

We have two points so we can write the equation for the line. (-1,-4) and (3,2)

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m= (y2-y1)/(x2-x1)

m = (2- -4)/(3 - -1)

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Then put the slope into the slope intercept form of the equation

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We will use the point (3,2) and substitute it into the equation to find b

2 = 3/2(3)+b

2 = 9/2 +b

Subtract 9/2 from each side

4/2 -9/2 = 9/2-9/2 +b

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y = 3/2x-5/2

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3 years ago
Which of the following metals will react with water to produce a metal hydroxide and hydrogen gas? (2 points)
Lisa [10]
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