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lilavasa [31]
3 years ago
15

The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the

base are 5 inches each, what is the height of the prism? The height of the prism is BLANK inches.
Mathematics
1 answer:
Naily [24]3 years ago
4 0

The height of the prism is 2.25 \ in

Explanation:

It is given that the area of the cross section of the rectangular prism is 45 square inches.

Length of the rectangular prism is 5 \ in

Width of the rectangular prism is 5 \ in

To determine the height of the prism, let us substitute these values in the formula SA=(2l+2w)h , we get,

45=(2(5)+2(5))h

Multiplying the terms within the bracket, we get,

45=(10+10)h

Adding the terms within the bracket, we have,

45=20h

Dividing both sides by 20, we get,

2.25=h

Thus, the height of the rectangular prism is 2.25 \ in

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Inessa05 [86]
14=6+2x
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5 0
3 years ago
F(x) = 15,000(.84) shows the value of a car each year. Describe the following:
makvit [3.9K]

Answers:

  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
  • d) f(x) is the value of the car after x years have gone by

========================================================

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

-------------

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

------------

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

------------

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

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3 years ago
Determine if S could lie on the perpendicular bisector of QR with the given coordinates
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Refer to picture for answers.

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Quadrilateral ABCD has coordinates A (3,1) B (4,4) C (7,5) D (6,2). Quadrilateral ABCD is a ?
ASHA 777 [7]
The Quadrilateral ABCD with coordinates (3, 1), (4, 4), (7, 5), (6, 2) is a rhombus because its length and width are both square root of 10 units and adjacent sides are not perpendicular. This can be seen by plotting the points you can either plot it or by using programs.

I hope this helps, God bless, and have a great day!
Brainliest is always appreciated :)
3 0
3 years ago
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Hi pls help thank you
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Answer:

it would be c when fully simplified.

6 0
3 years ago
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