Mathematics: Find the area of the shade region

Find the area of the shade region, №12503233, 14.08.2021 15:25

Mathematics

What are the steps you would take to find the area of the shaded region? Check all that apply. Identify the shapes you will need to determine the area of the figure. Calculate and add the areas of the regular pentagon and two orange triangles. Calculate and add the areas of the unshaded triangle and two circles. Subtract the sum of the unshaded triangle and circles from the sum of the regular pentagon and two orange triangles.

Step-by-step answer

P Answered by Specialist

59

Identify the shapes you will need to determine the area of the figure.

Calculate and add the areas of the unshaded triangle and two circles.

Step-by-step explanation:

Mathematics

What are the steps you would take to find the area of the shaded region? Check all that apply. Identify the shapes you will need to determine the area of the figure. Calculate and add the areas of the regular pentagon and two orange triangles. Calculate and add the areas of the unshaded triangle and two circles. Subtract the sum of the unshaded triangle and circles from the sum of the regular pentagon and two orange triangles.

Step-by-step answer

P Answered by Master

59

Identify the shapes you will need to determine the area of the figure.

Calculate and add the areas of the unshaded triangle and two circles.

Step-by-step explanation:

Mathematics

Use the drop-down menus to complete the proof of the Pythagorean Theorem using the Click the arrows to choose an answer from each menu. The combined area of the shaded triangles in Figure 1 is Choose the combined area of the shaded triangles in Figure 2 The area of the unshaded square in Figure 1 can be represented by Choose... The combined area of the two unshaved squares in Figure 2 can be represented by Choose... The areas of the squares in Figure 1 and Fig3 2 show that Choose

Step-by-step answer

P Answered by Master

80

Step-by-step explanation:

Equal to

c^2

a^2+b^2

a^2+b^2=c^2

Mathematics

Use the drop-down menus to complete the proof of the Pythagorean Theorem using the Click the arrows to choose an answer from each menu. The combined area of the shaded triangles in Figure 1 is Choose the combined area of the shaded triangles in Figure 2 The area of the unshaded square in Figure 1 can be represented by Choose... The combined area of the two unshaved squares in Figure 2 can be represented by Choose... The areas of the squares in Figure 1 and Fig3 2 show that Choose

Step-by-step answer

P Answered by Master

80

Step-by-step explanation:

Equal to

c^2

a^2+b^2

a^2+b^2=c^2

Mathematics

Kevin s grandmother gave him an old lamp that needs a new lampshade. He wants to buy some fabric to make a new lampshade. The lampshade is 10 inches tall The diameter to the top is 6 inches The diameter of the bottom is 10 inches The formula for finding the lateral area of the shade is A = I (ra + r2) Vh2 + (ra - r,)2 When r is the radius for the top, I, is the radius of the bottom, and h is the height of the lampshade. Select the area that is the best approximation for the amount of fabric he needs to buy. A. 541.4 square inches B. 474.1 square

Step-by-step answer

P Answered by PhD

As per the given formula

A= pi(r 1 +r 2 ) sqrt h^ 2 +(r 2 -r 1 )^ 2

r1 = 3 inches

r2 = 5 inches

h= 10 inches

Area A = 3.14(5+3) sqrt [ 10^2 + (5-3)^2] = 3.14 x 8 x sqrt(104) = 256.25 sq inches

Correct answer is D.

Mathematics

The area of the shaded triangles in the fractal shown form a geometric sequence. The area of the largest triangle (not shaded) is 1 square unit. Find the areas of these shaded triangles. Orange: 1/4 square units Blue: square units Green: square units If the pattern continues indefinitely, does the sum of the areas converge?

Step-by-step answer

P Answered by Master

18

The correct answers are Blue: $\frac{1}{16}$ square units ; Green: $\frac{1}{64}$ square units; and Yes the sum converges.

Step-by-step explanation:

Area of the largest triangle is 1 square unit.

The area of the triangle which are colored and follow a geometric sequence with the common ratio being $\frac{1}{4}$ .

Area of the not shaded triangle is given by 1 square unit.

Area of the orange triangle is given by 1 × $\frac{1}{4}$ = $\frac{1}{4}$ square units.

Area of the blue triangle is given by $\frac{1}{4}$ × $\frac{1}{4}$ = $\frac{1}{16}$ square units.

Area of the green triangle is given by $\frac{1}{16}$ × $\frac{1}{4}$ = $\frac{1}{64}$ square units.

If the pattern continues definitely then it becomes an infinite geometric progression series with common ratio $\frac{1}{4}$ . And thus the sum of area coverges as the ratio lies between -1 and 1.

Mathematics

The area of the shaded triangles in the fractaſ shown form a geometric sequence. The area of the largest triangle (not shaded) is 1 square unit. Find the areas of these shaded triangles. Orange: 1/4 square units Blue: square units Green: square units If the pattern continues indefinitely, does the sum of the areas converge?

Step-by-step answer

P Answered by Master

36

Blue 1/16

Green 1/64

yes

1/3

Step-by-step explanation:

Mathematics

The area of the shaded triangles in the fractal shown form a geometric sequence. the area of the largest triangle (not shaded) is 1 square unit. find the areas of these shaded triangles. orange: 1/4 square units blue: square units green: square units

Step-by-step answer

P Answered by Master

64

Blue: 1/16 square units

Green: 1/64

yes

1/3

Step-by-step explanation:

Mathematics

The area of the shaded triangles in the fractal shown form a geometric sequence. the area of the largest triangle (not shaded) is 1 square unit. find the areas of these shaded triangles. orange: 1/4 square units blue: square units green: square units

Step-by-step answer

P Answered by Specialist

64

Blue: 1/16 square units

Green: 1/64

yes

1/3

Step-by-step explanation:

Mathematics

In the following diagram, a circle is inscribed in a square. how can you find the area of the shaded region? notice that the shaded region of the figure is composed of four identical pieces. however, each piece has a curved side, which makes it very difficult to find its area using a direct method. in this type of diagram, the easiest way to find the area uses an indirect method. look at the diagram using a different perspective. the shaded region is composed of four identical pieces. or, the shaded region is the area of the square minus the area

Step-by-step answer

P Answered by Specialist

18

approx area of circ.=254.34

area of triangl=40.5

shaed region=173.34

just add sq. units

Step-by-step explanation:

areas of the triangle are 9*9=81

r=9

a=pi*r^2

=3.14*81

=254.34

254.34-81=173.34

Find the area of the shade region

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