The volume of a rectangular prism is 300 ft3. If the area of the base is 12 ft2, what is its height?
Answers
The height of the rectangular prism will be 25 feet.
What is the volume of the rectangular prism?
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The volume of a rectangularprism is 300 ft³.
If the area of the base is 12 ft².
Then the height of the rectangular prism will be
We have
V = 300 ft³
L x W = 12 ft²
Then we have
300 = 12 x H
H = 25 feet
More about the volume of the prism link is given below.
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Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
A: b must equal 7 and a second solution to the system must be located at the point (2, 5).
B: b must equal 1 and a second solution to the system must be located at the point (4, 5).
C: b must equal 7 and a second solution to the system must be located at the point (1, 8).
D: b must equal 1 and a second solution to the system must be located at the point (3, 4).
Answers
Answer:
Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)
Step-by-step explanation:
step 1
Find the vertex of the quadratic equation
The general equation of a vertical parabola in vertex form is
where
(h,k) is the vertex
we have
so
The vertex is the point (3,4)
step 2
Find out the value of b in the linear equation
we know that
If the vertex is a solution of the system of equations, then the vertex must satisfy both equations
substitute the value of x and the value of y of the vertex in the linear equation
For x=3, y=4
so
step 3
Find out the second solution of the system of equations
we have
-----> equation A
----> equation B
solve the system of equations by graphing
Remember that the solutions are the intersection points both graphs
The second solution of the system of equations is (2,5)
see the attached figure
therefore
b must equal 7 and a second solution to the system must be located at the point (2, 5)
Answer:
a
Step-by-step explanation:
Answers
2/5 = 0.4
bring to decimals 2.5 >0.4
because by dropping the decimal points we gave 25>4
compering by fraction 2 1/2 = 5/2
2/5
bring to a common denominator of 10 5(5) / 2(5); 2(2) / 5(2)=>
25/10; 4/10
compare numerators 25>4
Denominator 5 is a prime number
LCM (2, 5) = 2 * 5 = 10
For fraction: 1 / 2 is 10 : 2 = (2 * 5) : 2 = 5
For fraction: 2 / 5 is 10 : 5 = (2 * 5) : 5 = 2
1 / 2 = (5 * 1) / (5 * 2) = 5 / 10
2 / 5 = (2 * 2) / (2 * 5) = 4 / 10
4 / 10 < 5 / 10
2 / 5 < 1 / 2
Answers
Answers
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Answers
2x + 4x + 9x = 180
15x = 180
x = 180/15 = 12
2x = 2 x 12 = 24
4x = 4 x 12 = 48
9x = 9 x 12 = 108
the measures of the angles are : 24 degrees, 48 degrees ,108 degrees
Answers
3W = X, so W = X/3.
I hope this helps!