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3 years ago

Find the area of the shaded region.

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer:

73.4 cm^2

Step-by-step explanation:

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

Solve :

Area of sector = (50/9)π

Now, find the area of the triangle:

1/2 absinC

Substitute the values in:

1/2(5)(5) x sin(80) = 12.31009691

Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

Mark brainliest pls

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Write a linear equation based on given information. Through (5,-5) and (4,0)

Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

$(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)$

We find the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5$

Thus, the equation is of the form:

$y = -5x + b$

We substitute a point and find b:

$0 = -5 (4) + b\\0 = -20 + b\\b = 20$

Finally, the equation is:

$y = -5x + 20$

Answer:

$y = -5x + 20$

6 0

3 years ago

What is the pressure exerted by 100 N force on a circular surface of radius 10 m ? ( Area of circle should be used ) ANSWER FAST

Tcecarenko [31]

Answer:

0.318 Pa

Step-by-step explanation:

Area of a circle= πr²

Area= π x 10²

Area= 314 m²

Pressure = force/area

Pressure = 100/314

Pressure = 0.318 Pa

P.S. You can substitute Pascals for N/m²

Hope this helps!

7 0

3 years ago

The radius of a semicircle is 2 feet. What is the semicircle's diameter?

fomenos

Answer:

11/7 feet

Step-by-step explanation:

Perimeter of a circle = pi

Semicircle would be 1/2 of pi

1/2 × 22/7 × 1

You must divide by one to get the value of 1/2

11/7 is the answer

8 0

3 years ago

A rope is cut into three pieces of different lengths. The first piece is of length x meters, The length of the second piece is 2

Iteru [2.4K]

Answer:

first piece = 5 m

second piece = 2(5) + 2 = 12 m

third piece = 3(2x + 2) = 6(5) + 6 = 36 m

Step-by-step explanation:

The question is incomplete, the length of the actual rope is unknown but it should be given . Let us assume the length of the rope is 53 meters.

The rope is cut into 3 pieces of different length.

first piece = x

second piece = 2x + 2

third piece = 3(2x + 2) = 6x + 6

Since the length of the actual rope is assumed to be 53 meters .The length of the first piece, second piece and third piece can be calculated as follows.

we add the length of the pieces to get the actual length of each piece. Therefore,

x + 2x + 2 + 6x + 6 = 53

collect like terms

9x + 8 = 53

9x = 53 - 8

9x = 45

x = 45/9

x = 5 meters

first piece = 5 m

second piece = 2(5) + 2 = 12 m

third piece = 3(2x + 2) = 6(5) + 6 = 36 m

5 0

4 years ago

The graph below shows carters weight each week since he started his diet write an equation for the line of best fit

balandron [24]

Answer:

ŷ = -1.618X + 215.636

191

Step-by-step explanation:

From the graph:

The data below could be obtained to produce the best fit line :

Week, x :

Weight :

216

214

213

210

207

206

202

203

202

200

Using a linear regression calculator. The best fit line obtained is :

ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.

Carters weight 15 Weeks into his diet :

X = 15

ŷ = -1.618(15) + 215.636

= 191.366

= 191 (nearest whole number)

7 0

3 years ago