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2 years ago

Please help asap 23 pts

Mathematics

2 answers:

ArbitrLikvidat [17]2 years ago

7 0

C is the correct answer

riadik2000 [5.3K]2 years ago

5 0

The answer is the equal sign because 4 divided by five also equals 0.8.

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Find the area of the shaded region. Use 3.14 as an approximation.

MA_775_DIABLO [31]

Answer:

shaded area = 113.64 cm²

Step-by-step explanation:

To find the shaded area, subtract the area of the circle from the area of the triangle.

Area of a triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²

Area of a circle = $\pi r^2$ (where r is the radius)

From inspection, we can see that the diameter of the circle = 14 cm

Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm

⇒ area of circle = 3.14 x 7² = 153.86 cm²

Shaded area = area of triangle - area of circle

⇒ shaded area = 267.5 - 153.86 = 113.64 cm²

8 0

1 year ago

If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°, find the measure of < S.

Free_Kalibri [48]

Answer:

Step-by-step explanation:

∠A + ∠B + ∠C = 180 { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

7 0

1 year ago

Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

1 year ago

Help Will Give Brainlist

Olin [163]

Answer:

3.14 million

Step-by-step explanation:

10.676 - 7.536 = 3.14

To check

7.536 + 3.14 = 10.676

4 0

2 years ago

Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride in 2 minutes?

iren [92.7K]

Sheila can ride her bicycle 6000 meters in 15 minutes.
Forming that into a ratio, that will be 6000 : 15

Doing the proportion for 2 minutes.
6000 : 15 = X : 2

Doing the computation.
6000 / 15 = X / 2
15X = 2 * 6000
15X = 12000
X = 800

So Sheila covered a total of 800 meters in 2 minutes.

7 0

2 years ago