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Nimfa-mama [501]
4 years ago
14

The base of a rectangular prism is a square. The height of the prism is half the length of one edge of the base. The volume of t

he rectangular prism is 13.5 cubic units. What are the dimensions of the prism?
Mathematics
1 answer:
ki77a [65]4 years ago
4 0

Answer:

The prism is 3 by 3 by 1.5.

Step-by-step explanation:

The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.

The volume's prism is found using V = l*w*h. Substitute and simplify.

13.5 = x*x*1/2x

13.5 = 1/2 x^3

27 = x^3

3 = x

The prism is 3 by 3 by 1.5.

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How many times greater is the digit in the tens place than digit on the ones place in the number 55.72
bogdanovich [222]
The digit in the tens place is 10 times bigger than the digit in the ones place
6 0
3 years ago
Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the righ
Len [333]

Answer:

∠ACB is a right angle

Graph:

4 0
3 years ago
Question 11 the length of a rectangle is six times its width. if the perimeter of the rectangle is 98 m , find its area.
andrezito [222]
Let's look at the formula to solve the perimeter.
2l+2w=98
We know that l=6w
Let's put that into the equation.
2(6w)+2w=98
12w+2w=98
14w=98
98÷14=7
So the width is 7. Let's find the length.
Since the length is six times the width: 7×6= 42
So, the length is 42 while the width is 7. We need to find the area.
42×7=294
The area is 294 m².
Tell me if this helps!!
4 0
3 years ago
Mhanifa please help!!!!!
malfutka [58]

Answer:

∠H≅∠B

GH/DJ = AB/DC

Step-by-step explanation:

4 0
3 years ago
The Tucker Gym charges a one time fee of $50 plus a $25 monthly membership
FinnZ [79.3K]

Answer:

y = 50 + 25x.............(i)

y = 80 + 15x.............(ii)

x = 3

y = 125

Step-by-step explanation:

The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.  

The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.

Let

number of month = x

total cost = y

Tucker Gym

y = 50 + 25x.............(i)

NoFo Gym

y = 80 + 15x.............(ii)

combining the equation

y = 50 + 25x.............(i)

y = 80 + 15x.............(ii)

y - 50 = 25x

y/25 - 2 = x

insert x in equation (ii)

y = 80 + 15(y/25 - 2)

y = 80 + 3y/5 - 30

y = 50  + 3y/5

y - 3y/5 = 50

5y - 3y/5 = 50

2y/5 = 50

cross multiply

2y = 250

y = 250/2

y = 125

insert y in equation (i)

125 = 50 + 25x

125 - 50 = 25x

75 = 25x

x = 75/25

x = 3

6 0
4 years ago
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