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3 years ago

Find the area of the shaded region in each of the following.

Mathematics

1 answer:

zysi [14]3 years ago

5 0

Answer:

Step-by-step explanation:

a) A = ½(5 - -1)(5) = 15 units²

b) A = ½(4 - 2)(4) = 4 units²

c) A = ½(6 - -3)(3) = 13.5 units²

d) A = ½(4 - -1)(8) = 20 units²

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What is the value of sin 0 given that (3-4) is a point on the terminal side of 0

Effectus [21]

Using trigonometric relations, we will see that:

sin(θ ) = -0.8

<h3>How to get the sine of the angle?</h3>

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

θ = Atan(-4/3) = -53.13°

Then the sine of theta is:

sin(θ = -53.13°) = -0.8

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2 years ago

Evaluate help please!

UNO [17]

<h2><u>ABSOLUTE VALUE</u></h2>

The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.

<h3>Exercise</h3>

Replace the value of x:

$| x - 8 |$

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The absolute value of a number is the numerical value of the number, without regard to its sign.

<h3><u>Answer.</u> 12</h3>

3 0

3 years ago

Peyton was selected the most valuable player in the Super Bowl. In recognition of this, he was awarded an automobile with a valu

dlinn [17]

Answer:

$60,000 gross income will include.

Step-by-step explanation:

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3 0

3 years ago

If the diameter of circle a measures half of the diameter of circle b, then the area of circle b is how many times the area of c

Eduardwww [97]

Circle b:

Diameter = x

Radius = $\frac{x}{2}$

Area = $\pi r^{2} = \pi ( \frac{x}{2} )^{2} = \frac{ \pi x^{2} }{4}$

Circle a:

Diameter = $\frac{x}{2}$

Radius = $\frac{x}{2} * \frac{1}{2} = \frac{x}{4}$

Area = $\pi r^{2} = \pi ( \frac{x}{4} )^{2} = \frac{ \pi x^{2} }{16}$

Thus,

Area of circle b to area of circle a

= $\frac{ \pi x^{2} }{4}$ ÷ $\frac{ \pi x^{2} }{16}$

= $\frac{ \pi x^{2} }{4}$ × $\frac{ 16 }{\pi x^{2}}$

= 4

Hence, the area of circle b is 4 times the area of circle a.

5 0

3 years ago

Find the measure of each unknown angle.

tekilochka [14]

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

= 2(17)

= 34°

3 0

3 years ago

Find the area of the shaded region in each of the following.​

Find the area of the shaded region in each of the following.