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LUCKY_DIMON [66]
3 years ago
13

I need help with this I will mark you if you get it right

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0

Answer:

The area of a rectangle is l x w. So the area of the square is 10 x 10 = 100

The area of a circle is

\pi \times {r}^{2}

The radius of all the circles is 2 inches.

\pi \times  {2}^{2}  = \pi \times 4 \: or \: 4\pi

There are 4 circles so the area of all four is

4 \times (4\pi) \: or \: 16\pi

To find the area of the shaded part of the square, subtract the area of all the circles, because they are not shaded, from the area of the square, because it is shaded. The difference will be the area of the shaded portion.

area \:  = 100 - 16\pi

area = 100 - 50.6548

So the area is approximately 50 Sq in

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What is the type of angle pair? (20 points)
Furkat [3]

Answer:

Alternate interior angles

Step-by-step explanation:

Please mark as brainliest if this has helped you

3 0
3 years ago
Find the measure of segment LM if M is the midpoint of segment LN and LM = 3x-2 and MN = 2x+1
Ulleksa [173]

LM is equal to 7.

In order to find this, we need to first set LM and MN equal to each other since M is the midpoint of LN.

LM = MN

3x - 2 = 2x + 1

x - 2 = 1

x = 3

Now that we know x = 3 we can find the value of LM by plugging in to the problem.

LM = 3x - 2

LM = 3(3) - 2

LM = 9 - 2

LM = 7

4 0
4 years ago
An angle, theta, is in standard position and its terminal side passes through the point (2,-1). Find the EXACT value of sin thet
Olenka [21]

Answer:

sinѲ = -1/√5 or -√5/5

Step-by-step explanation:

On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.

On the Cartesian plane we also have x, y where:

x = r cosѲ .......Equation 1

and y = r sinѲ ........Equation 2

r = √x² + y²

In the question we are given points (2,-1)

Where x = 2 , y = -1

We would solve for r by substituting 2 for x and -1 for y

r = √ 2² + -1²

r = √ 4 + 1

r = √5

In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2

y = r sinѲ

Where y = -1 and r = √5

-1 = √5 sinѲ

Divide both sides by √5

sinѲ = -1/√5

We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5

sinѲ = -√5/5

Therefore, sinѲ = -1/√5 of -√5/5

6 0
4 years ago
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 12
Dmitry [639]

Answer:

x = 6

Step-by-step explanation:

let 'x' = BD

x/3 = 12/x

x² = 36

x = \sqrt{36}

x = 6

5 0
4 years ago
Find the length of the bold arc. Round to the nearest tenth and use 3.14 or the pi button on your calculator for pi.
Elanso [62]

Answer:

8π yards

Step-by-step explanation:

A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:

C=πd=2πr

Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as

C=\frac {90}{360}*2*\pi*16=8\pi

4 0
4 years ago
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