Find the area of the shaded region

Find The Area Of The Shaded Region

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

The easiest way is to find the area of the trianlge and subtract the area of the circle.

Area of the triangle

Area of the triangle = 1/2 b * h

b = 40 km

h = 27 km

The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km

Area of the triangle = 1/2 * 40 * 27

Area of the triangle = 540

Area of the circle

Area of the circle = pi r^2

r = d/2

r = 12/2

r = 6

Area of the circle = pi * 6*6

Area of the circle = 3.14 * 36

area of the circle = 113.04

Area of the shaded region

Area of the shaded region = area of triangle - area of the circle

Area of the triangle = 540

Area of the circle = 113.04

Area of the shaded region = 540 - 113.04

Area of the shaded region = 426.96


Related Questions

PLEASE HELP!! I’LL GIVE BRAINLIEST!!


For problems 16-18, classify each triangle by its angles and sides. Mark the congruent sides with tick marks and the congruent angles with arc marks.

Answers

16 Angle classification : right angle

Side classificat : isoceles

17. Angle classification : acute angle

Side classification : equilateral

18 angle classification : obtuse angle

Side classification : scalene

16)

Angle classification: right angle

Side classification : isosceles

17)

Angle classification: acute angle

Side classification: equilateral

18)

Angle classification: obtuse angle

Side classification: scalene

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

16)

One angle = 90 degrees

So,

The other two angles' sum must be 90 degrees.

So,

Angle classification: right angle

Side classification : isosceles

17)

We see that all sides are equal.

So,

All angles must be equal and the sum is 180.

So,

Angle classification: acute angle

Side classification: equilateral

18)

One angle is greater than 90.

So,

Angle classification: obtuse angle

Side classification: scalene

Thus,

16)

Angle classification: right angle

Side classification : isosceles

17)

Angle classification: acute angle

Side classification: equilateral

18)

Angle classification: obtuse angle

Side classification: scalene

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Jack has $15,000 to invest. If he invests two-thirds of it into a high-yield savings account with an annual interest rate of 8%, compound continuously, and the other third in a regular savings account at 6% simple interest, how much does Jack earn after one year?

Answers

Based on the amounts that Jack invested into the different investment vehicles, the amount Jack earns a year would be $1,132.87.

How much does Jack earn from the high-yield savings account?

The amount invested is:

= 2 / 3 x 15,000

= $10,000

Amount after a year:

= Amount x e ^ (rate x time)

= 10,000 x e ⁰.⁰⁸ ˣ ¹

= $10,832.87

How much does Jack make from the regular savings account?

Amount invested:

= 1/3 x 15,000

= $5,000

Amount after a year:

= 5,000 x (1 + 6%)

= $5,300

How much did Jack earn in a year:

= (10,832.87 + 5,300) - 15,000

= $1,132.87

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Find out more on continious compounding at https://brainly.com/question/3932907.

Please help!!
Will mark brainliest

Answers

Answer:

The zeros of f are x = (0,2)

The answer is √2/3 ,- √2/3



Let me know if you need explaining

Nan buys a greeting card for 2 dollars and 29 cents. She pays with three $1 bills.

Answers

Answer:

71 cents

Step-by-step explanation:

PLEASE HELP! BRAINLIEST TO WHOEVER CORRECTLY ANSWERS THE QUESTION BELOW!

Answers

Answer:

Your answer is -3

Step-by-step explanation:

Set the functions equal to each other, then solve for the variable.

[tex]\frac{\frac{1}{x}+ \frac{2}{x^{2} } }{x+\frac{8}{x^{2} } }[/tex]

Answers

Answer:

[tex] \frac{x + 2}{x {}^{3} + 8} [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{1}{x} + \frac{2}{x {}^{2} } }{x + \frac{8}{x {}^{2} } } [/tex]

[tex] \frac{ \frac{x + 2}{x {}^{2} } }{ \frac{x {}^{3} + 8 }{x {}^{2} } } [/tex]

[tex] \frac{x + 2}{x {}^{3} + 8 } [/tex]

Please answer the question

Answers

Answer:

180000

===========

[tex]\rightarrow \sf \dfrac{2^3*5^2*(2*3)^2*(3*5)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*(6)^2*(15)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*36*225}{9}[/tex]

[tex]\rightarrow \sf \dfrac{1620000}{9}[/tex]

[tex]\rightarrow \sf 180000[/tex]

Answer:

Es b = 180 000.

Step-by-step explanation:

b = 8. 25. 2².3².3².5²

              9

b = 8.25.4.9.9.25

             9

b = 1 620 000

              9

b = 180 000

The owner of a computer store is offering a discount on a computer sold in the store.
Computer Sale!
Original Price: $598.00
25% off original price
8% tax applied after discount
owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.
Determine the amount of each monthly payment.
Show your work or explain your answer. please help me ASAP it is due is 20 mins please help i will mark brainlest for correct answer

Answers

Answer:

$ 80.73

Step-by-step explanation:

You can find the complete solution in the given attachment

Can you help me with this

Answers

Answer:

i think it is b

Step-by-step explanation:

i am not good at math sorry

The circumference of the Earth is 2.4x10^4 miles. If you traveled at an average of 8.5x10 miles per hour, how long would it take for you to go around the Earth? Round your answer to the nearest whole number.

Answers

It will take approximately 282.352 hours for one to go round the earth, this is equivalent to 11.764 days

Speed,  Distance and Time

Given Data

Circumference of Earth = 2.4x10^4 milesDistance round the earth = 2.4x10^4 milesSpeed = 8.5x10 miles per hour

We know that the relationship between speed, distance and time is given as

Speed = Distance/Time

Hence,

Time = Distance/Speed

Substituting our given data into the expression we have

Time = 2.4x10^4/8.5x10

Time = 2.4x10^3/8.5

Time = 282.352 hours

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Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18

Answers

Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

The best reason is Subtraction Property of Equality.

The correct option is (B)

What is Subtraction Property of Equality?

The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal.

Given:

AB + 6 = 24

So,

AB= 24-6

AB = 18 (Subtraction Property of Equality)

Hence, the best reason is Subtraction Property of Equality.

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Find the value of Y. Pleasee hellpp meeee

Answers

i'm pretty sure y=30

Answer:

y=30

Step-by-step explanation:

it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.

I have 90 because of the right angle. That is a 90-degree angle.

Solve the following linear inequalities given in the first column and choose the appropriate results

Answers

Solution 1

7(g - 19) ≥ -14

7g - 133 ≥ -14

7g  ≥ -14 + 133

7g ≥ 119

g ≥ 17

Solution 2

3(7g+17) > -19 + 14g

21g + 51 > -19 + 14g

21g - 14g > -19 -51

7g > -70

g > -10

Solution 3

6(-6g + 6) > -2(19g - 17)

-36g  +36 > -38g + 34

-36g + 38g > 34 - 36

2g > -2

g > -1

Which of the following statements about AB and AC is true?
C44)
A(-11)
-5
3
3 4 5
BIO4)
A. AB and AC are the same length
B. AC is longer than AB
OC. AB is longer than AC.
D. AC is 6 units lona.
PREVIOUS

Answers

Answer:

C. AB is longer than AC

Step-by-step explanation:

Using the distance formula, find the lengths of both AC and AB.

d=√((x_2-x_1)²+(y_2-y_1)²)

Classify as acute,obtuse, right,straight or reflex.

Answers

Answer:

That would be a right angle.

Step-by-step explanation:

you can tell from the little square on the angle which always means that it is   a right angle.

Mr. Alexander was traveling home from a business
trip. A taxi driver took him from his hotel room to a
bus station that was 18 miles away. The taxi traveled at an average rate of 60 miles an hour.
Mr. Alexander waited 15 minutes at the bus station
before leaving on a 178-mile bus ride.
Mr. Alexander's trip took a total of 5 hours from the time he left the hotel to the time the bus arrived at its destination. At
what average rate did the bus travel? Explain or show calculations to support the answer.

Answers

Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:

[tex]t = 4 + \frac{27}{60} = 4.45[/tex]

Hence, the velocity is given by:

[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]

The bus traveled at a rate of 40 miles per hour.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

help y’all!! it’s gradpoint!! this is the last question & i’ve failed this test so many times :(

Answers

Answer:

just study study study

Step-by-step explanation:

you will learned

Can anyone help me please

Answers

Answer:

(D. 12/3

Step-by-step explanation:

pls tell me if im wrong

What is the value of the 13th coefficient in the expansion of {(a + b)}^{15} ?
3,003
105
455
1,365

Answers

Step-by-step explanation:

the value of the 13th coefficient in the expansion of {(a + b)}^{15} :

(13-1)C15 = 12C15 = 15! / 3!. 12!

= 15×14×13×12! / 3×2×12!

= 2730/6

= 455

Find the distance between the points.?

Help 40 points!!!

Answers

Answer:

34

Step-by-step explanation:

Distance - formula

Answer:

34

Step-by-step explanation:

best to use the formula: √(X1-X2)²+(Y1-Y2)²

(If u want to know why, it's determinated by pithagoras' theory.)

=>√(30-0)²+(16-0)²=√900+256=√1156=34

Drag and drop the answer in the box to correctly complete the sentence.
A probability close to 1 indicates a chance event is ______ occur.

A: very likely to
B: not likely to
C: equally likely and unlikely to
D: not going to
E: going to

Answers

A. Very likely to

A probability close to 1 indicates a chance event is very likely to occur

Find the average rate of change from x = 1 to x=5

Answers

Answer:

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

Step-by-step explanation:

What is the third quartile of the 8, 9, 12, 14, 15?

Answers

Answer:

14.5

Step-by-step explanation:

Case 2

Q3 =

[tex]( \frac{3}{4} (n + 1 ) - \frac{1}{2} )th[/tex]

and

[tex]( \frac{3}{4} (n + 1) + \frac{1}{2} )th[/tex]

[tex] \frac{3}{4} (5 + 1) - \frac{1}{2} = 4th \: = 14[/tex]

[tex] \frac{3}{4} (5 + 1) + \frac{1}{2} = 5th = 15[/tex]

[tex] \frac{14 + 15}{2} = 14.5[/tex]

This figure shows the dimensions of a rail car. The car forms a cylinder with a length of 24 feet and radius of 4 feet.

What is the volume, in cubic feet, of the car? Round your answer to the nearest hundredth.

Answers

Answer:

1206.857, cubic feet

Step-by-step explanation:

(22/7×4²)×24

=1206.857 cubic feet

Set of common divisors of 50 and 75

Answers

Ones in red are common ones

1,5,25

a maxicool consists of a cone full of ice cream with a hemisphere of ice cream on top. the radius of a hemisphere is 3cm. The height of the cone is 10cm. calculate the total volume of the ice cream round your answer to the nearest tenth

Answers

According to the information, it can be inferred that the volume of the ice cream is close to 207.33 cm³

How to calculate the volume of the maxicool?

To calculate the volume of the maxicool, we must calculate the volume of the sphere of ice cream, and the volume of the cone that is filled with ice cream.

Volumen of the sphere

V = [tex]\frac{4}{3}[/tex] × π × R³

V = [tex]\frac{4}{3}[/tex] × π × 3³

V = 113.09 cm³

Cone volume

V = [tex]\frac{1}{3}[/tex] × π × R² × h

V = [tex]\frac{1}{3}[/tex] × π × 3² × 10

V= 94.24 cm³

Finally we must add both values to know the total volume of the maxicool.

113.09 + 94.24 = 207.33 cm³

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Select all the expressions that are equivalent to 4 ^ - 3

Answers

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Area of polygons please help

Answers

Answer:

6+12=18

Step-by-step explanation:

the area of the smaller rectangle+the area of the bigger rectangle=18

The table below shows a proportional relationship between qq and rr.
qq rr
4848 66
128128 1616
160160 2020
Find the constant of proportionality from qq to rr. Express your answer as a fraction in reduced terms.

Answers

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

How to determine the proportionality constant?

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

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Yo i need to bring up my grade bad so
2x=5+y
(please show it graphed ready :D)

Answers

Answer:

[tex]2x = 5 + y \\ y = 2x - 5 \\ when \: x = 0 \\ y = - 5[/tex]

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