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maria [59]
3 years ago
12

Find the area of the shaded region. With steps

Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer: the area of the shaded region is 72.96 ft²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Diameter of circle = 16 feet

Radius = diameter/2 = 16/2 = 8 feet

Area of circle = 3.14 × 8² = 200.96ft²

The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + L²

256 = 2L²

L² = 256/2 = 128

L = √128 ft

Area of the square is

L² = (√128)²

Area = 128 ft²

Area of shaded region is

200.96 - 128 = 72.96 ft²

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find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square unit
viva [34]
Pls. see attachment. 

We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.

Given:

51 degrees.

Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.

180 – 51 – 90 = 39 degrees

39 degrees * 2 = 78 degrees.

Angle Q is 78 degrees.

In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.

We will use the formula:

Sine theta = opposite / hypotenuse

Sin(78 deg) = opposite / 4.3

Sin(78 deg) * 4.3 = opposite

4.21 = opposite. This is also the height of the triangle.

 

Area of a triangle = ½ * base * height

A = ½ * 3units * 4.21units

A = 6.315 square units.

7 0
3 years ago
Can somebody help me with this one. It says use the vertical line test to determine which graph represents a function
sineoko [7]

Answer:

Only option C shows a function

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.

In option A, a vertical line would cross two values, so it is not a function.

The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.

Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.

5 0
3 years ago
X-4y=7 -6x-3y=12 how do i solve by substitution​
Dafna1 [17]

Answer:

x = 15

y = 2

Step-by-step explanation:

X-4y=7 | ×6 |

-6x-3y=12 | ×1 |

6x - 24y = 42

-6x - 3y = 12

___________+

27y = 54

y = 54/27

y = 2

x - 4y = 7

x - 4(2) = 7

x - 8 = 7

x = 7 + 8

x = 15

3 0
3 years ago
Why must eye protection be worn at all times in welding shop?
kati45 [8]
Because of the ligting of the machine and you can go blind if theres no eye protection
4 0
3 years ago
Read 2 more answers
What number must be added to 36 to obtain −12
dezoksy [38]
The correct answer is -48

36 + x = -12
X = -12 - 36
x = -48

36 + (-48) = -12
36 - 48 = -12
3 0
3 years ago
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