Answer:
24
Step-by-step explanation:
I will assume this is a right triangle with the information given
a^2+b^2 = c^2 is the Pythagorean theorem
18^2 + b^2 = 30^2
Subtract 18^2 from each side
18^2 - 18^2+ b^2 = 30^2 -18^2
b^2 =900 -324
b^2 =576
Take the square root of each side
sqrt(b^2) = sqrt(576)
b =24
Two prisms with the same volume are rectangular prisms of the dimensions 1 by 4 by 9 and 2 by 3 by 6
<h3>How to create the prisms?</h3>
To do this, we start by determining the type of prism to create.
Assume that we want to create a rectangular prism.
The volume of a rectangular prism is:
Volume = Length * Width * Height
Using the digits 1 - 9, we have:
<u>Prism 1</u>
Length = 1
Width = 4
Height = 9
The volume is
Volume = 1 * 4 * 9 = 36
This means that the second prism must have a volume of 36.
Using the digits 1 - 9, we have:
<u>Prism 2</u>
Length = 2
Width = 3
Height = 6
The volume is
Volume = 2 * 3 * 6 = 36
Notice that the digits are not repeated.
Hence, two prisms with the same volume are rectangular prisms of the dimensions 1 by 4 by 9 and 2 by 3 by 6
Read more about volumes at:
brainly.com/question/1972490
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Answer:
y=2x
Step-by-step explanation:
Y intercept, 0
Slope, 2
Answer: 8/9
Step-by-step explanation:
3x/7 = 8/21, find x
Step 1: cross multiply the equation
3x × 21 = 8×7
63x = 56
Divide both sides by 63; retain in fraction.
x = 56/ 63
x = 8/9
