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2 years ago

What is the area of the regular polygon?

Mathematics

2 answers:

natta225 [31]2 years ago

7 0

Correct answer would be 50m^2 because 100/2=50

cestrela7 [59]2 years ago

5 0

The diagonal is 10, so a side is ${10/\sqrt{2} }$

The area would be 100/2

or 50 m^2.

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Help me please ill give brainliest give the CORRECT answer please

Neporo4naja [7]

Answer:

174 ft²

Step-by-step explanation:

Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.

The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:

6 ft + triangle base + 6 ft = 18 ft

triangle base = 18 ft - 12 ft = 6 ft

Then the area of the triangle is ...

A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²

Of course, the area of the rectangle is the product of its length and width:

A = LW = (18 ft)(9 ft) = 162 ft²

The total area of the figure is the sum of these:

area = triangle area + rectangle area

area = 12 ft² +162 ft²

area = 174 ft²

3 0

2 years ago

Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α

snow_lady [41]

Answer:

m∠C = 60°

Step-by-step explanation:

we know that sum of angles of a traingle is 18 degrees.

given

m∠A = 60°+α,

m∠B = 60°−α

we have to find m∠C

m∠A + m∠B + m∠C = 180

60°+α + 60° - α +m∠C = 180

+α and -α gets cancelled

120°+m∠C = 180

=> m∠C = 180° - 120° = 60°

Thus, measure of angle c is 60°.

8 0

2 years ago

1. If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter o

tester [92]

Answer:

Part 1) The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor (see the explanation)

Part 2) The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) The new figure and the original figure are not similar figures (see the explanation)

Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its perimeters is equal to the scale factor

The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor

Part 2) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the area of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its areas is equal to the scale factor squared

The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) What would happen to the perimeter and area of a figure if the dimensions were changed NON-proportionally? For example, if the length of a rectangle was tripled, but the width did not change? Or if the length was tripled and the width was decreased by a factor of 1/4?

we know that

If the dimensions were changed NON-proportionally, then the ratio of the corresponding sides of the new figure and the original figure are not proportional

That means

The new figure and the original figure are not similar figures

therefore

Corresponding sides are not proportional and corresponding angles are not congruent

A) If the length of a rectangle was tripled, but the width did not change?

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2W ----> P=6L+2W

The perimeter of the new figure is greater than the perimeter of the original figure but are not proportionals

Area

The original area is A=LW

The new area would be A=(3L)(W) ----> A=3LW

The area of the new figure is three times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

B) If the length was tripled and the width was decreased by a factor of 1/4?

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2(W/4) ----> P=6L+W/2

The perimeter of the new figure and the perimeter of the original figure are not proportionals

Area

The original area is A=LW

The new area would be A=(3L)(W/4) ----> A=(3/4)LW

The area of the new figure is three-fourth times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

5 0

2 years ago

28.) Find the slope of the line that passes through the pair of points.

DerKrebs [107]

Answer:

the d is right one look this img

4 0

3 years ago

How to write five and nine tenths in standard from

Trava [24]

5 9/10 .........................................

3 0

2 years ago