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Evgen [1.6K]
3 years ago
8

. Diane made a design using a small square, a medium square, and a large square. She shaded the small square and the outer regio

n.
Mathematics
1 answer:
Anon25 [30]3 years ago
5 0
Wow, that was inspiring.
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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?

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3 years ago
I NEED HELP PLEASE I have been on this question for a hour
Alexus [3.1K]

Answer:

A-8

Step-by-step explanation:

Any other higher number plugged in makes the equation false

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3 years ago
Laci needs to put some logs in the back of her pickup truck. The dimensions of the truck bed are 8 feet by 5 .5 feet. What is th
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Since the truck is 8 feet long then the longest log able to fit in the truck should be 8 feet as well. However talking reality, we might want to shorten it to make it fit better. Hope this helps!
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3 years ago
The parent function f(x) = x3 and its translation, g(x), are shown on the graph.
NNADVOKAT [17]

The resulting function g(x) = (x-5)^3 + 3 shows a horizontal translation to the right by 5 units and vertical translation up by 3 units

<h3>Translation of functions</h3>

Quadratic functions are functions that has a leading degree of 2.

Given the parent function as shown:

f(x) = x^3

The resulting function g(x) = (x-5)^3 + 3 shows a horizontal translation to the right by 5 units and vertical translation up by 3 units

Learn more on translation here; brainly.com/question/12861087

#SPJ1

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2 years ago
9(2x-1)=3(x+2)+3x  solve the equation thanks so much for your help guys or girls you have no idea how helpful it is :)
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9(2x-1)=3(x+2)+3x

18x-9=3x+6+3x

18x-9=6x+6

18x-6x=6+9

12x=15

x=15/12

x=5/4
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3 years ago
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