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svetlana [45]
1 year ago
13

PLEASE HELP!! Being timed need help asap.

Mathematics
1 answer:
ivanzaharov [21]1 year ago
6 0

If points D, E, F and G make a rectangle with the given coordinates for each point then the area of the rectangle is 150 sq. units

How to find distance between two points?

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √((x₂ – x₁)² + (y₂ – y₁)²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

According to the given question:

The four vertices are D(-1,-3), E(-9, -9), F(-18, 3) and G(-10, 9) check the attachment below.

Distance between two points D = √((x₂ – x₁)² + (y₂ – y₁)²)

Side DE = √((-9 – (-1))² + (-9 – (-3))²) = √100 = 10 units

Side EF = √((-18 – (-9))² + (3 – (-9))²) = √225 = 15 units

Side FG = √((-10 – (-18))² + (9 – 3)²) = √100 = 10 units

Side GD = √((-1 – (-10))² + (-3 – 9)²) = √225 = 15 units

∴ Area of rectangle = l x b = DE . EF

Area = 10 x 15 = 150 sq. units

Hence the area of rectangle with the given coordinates is 150 sq. units

To learn more about distance between two points visit

brainly.com/question/24485622

#SPJ1

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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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Answer:

Step-by-step explanation:

2^9

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Step-by-step explanation:

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Answer:

7/18π radians   Exact answer

1.22 radians      Decimal approximation

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