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nirvana33 [79]
2 years ago
11

Find each difference vertically. 3. (2x ^2 – 2x ^4) — (x4 – x2)

Mathematics
1 answer:
nikdorinn [45]2 years ago
6 0

Answer:

answer: -2x^4 +2x^2-2x

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A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of
melisa1 [442]

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

BRAINLIEST PLEASE?

3 0
3 years ago
A rectangular prism with length L, width W, and height H has a volume of LHW.
Anika [276]

Answer:There was not enough information given in the drawing and/or given list to prove the statement.

Not enough information.

Step-by-step explanation:

6 0
3 years ago
What is the range of this piecewise function
White raven [17]

Answer as a compound inequality: -4 \le y < 2

Answer in interval notation:  [-4, 2)

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

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have y \ge -4 which is the same as -4 \le y

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that y < 2

Combine -4 \le y and y < 2 to get the compound inequality -4 \le y < 2

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

6 0
3 years ago
Someone please help me I’m actually struggling so much rn.
alexandr1967 [171]

Answer:

Step-by-step explanation:

okay don't feel bad, you actually got it right, let me help you with some holes!

You calculate slope by the rise over run. These people are confusing you a bit - do problem 2 then 1

the vertical change is -1 horizontal change is 3 so by rise/run=-1/3

-1/3 is the slope

for the second problem this is confusing but just read and try to analyze

vertical change/horizontal change = 5-4/0-3= 1/-3(or -1/3)

The y intercept is the point where the line hits the y axis, so at point (0, 5)

The function is y=mx+b

m is the slope

b is the y intercept

so y=-1/3x+5

7 0
3 years ago
Which expression is equivalent to g/5h?<br> 7g/15h<br> 2g/10h<br> g-4/5h-4
lianna [129]

Answer:

g-4/5h-5

Step-by-step explanation:

Really easy

6 0
3 years ago
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