Mathematics College


6. Find the area of the segment. (the shaded region)

6. Find The Area Of The Segment. (the Shaded Region)

Answers

Answer 1

There are two pieces we need to find here: the area of the section of the circle, and the area of the triangle.

Area of the section of the circle:

A = pi * r^2

A = pi * 15^2

A = 225pi * 72/360 || We only need this part of the circle, not the whole thing.

A = 45pi

Area of the triangle:

A = 1/2 * a * b * sin(c)

A = 1/2 * 15 * 15 * sin(72)

A = 112.5 * sin(72)

Next, we need to subtract the area of the triangle from the area of the section of the circle.

A = 45pi - (112.5 * sin(72))

A = 112.8165 units^2 -- Feel free to round off wherever you need!

Hope this helps!! :)

Related Questions

You buy milk at $3.48 per gallon. One portion of oatmeal requires 5 ounces of milk. How much does the milk for one portion cost? Round to the nearest cent.

Answers

Answer: $0.1359375

Step-by-step explanation:

First and foremost, we should note that 1 gallon = 128 ounce. Therefore, $3.48 per gallon simply means $3.48 for 128 ounce. Therefore, the cost per ounce will be:

= $3.48 / 128

= $0.0271875

Therefore, the amount for the the milk for one portion cost which requires 5 ounces of milk will be:

= $0.0271875 × 5

= $0.1359375

Write a function rule for the area A(h) of a parallelogram whose base is 3 units more than its height h.

A. A(h) = h2 + 3
B. A(h) = h2 + 3h
C. A(h) = h2 + 3h + 3
D. A(h) = h + 3h

Answers

Answer:  h^2+3h   (Choice B)

===================================================

Work Shown:

height = h

base = h+3, since the base is 3 more than the height

area = base*height

area = h*(h+3)

area = h*h + h*3

area = h^2+3h

Calc help!
Suppose that

f(5) = 2, f '(5) = 9, g(5) = −6, and g'(5) = 7.

Find the following values.

(fg)'(5) =

(f/g)'(5) =

(g/f)'(5)=

Answers

Answer:

(fg)'(5) = -40

(f/g)'(5) = -68/36

(g/f)'(5)= 17

Step-by-step explanation:

(fg)'(5) =

Applying the product derivative:

[tex]fg(5) = f^{\prime}(5)g(5) + g^{\prime}(5)f(5) = 9*(-6) + 7*2 = -54 + 14 = -40[/tex]

(f/g)'(5) =

Applying the quotient derivative

[tex](\frac{f}{g})^{\prime}(5) = \frac{f^{\prime}(5)g(5) - g^{\prime}(5)f(5)}{g(5)^2} = \frac{9*(-6) - 7*2}{6^2} = -\frac{68}{36}[/tex]

(g/f)'(5)=

[tex](\frac{g}{f})^{\prime}(5) = \frac{g^{\prime}(5)f(5) - f^{\prime}(5)g(5)}{f^{\prime}(5)^2} = \frac{7*2 - 9*(-6)}{2^2} = \frac{68}{4} = 17[/tex]

Pls hurry and answer it for me!!!

Answers

The answer is D

It’s extremely simple
It is actually A: the intercept begins at 4 and will decrease by 2 as the slope is a negative value

What does it mean by And,Or in probability?

Answers

Answer:

In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.

Step-by-step explanation:

thank me later

What is the sum of
7 + 8J + 3,?

Answers

Answer:

8j + 10

Step-by-step explanation:

Quadrilateral ABCD is inscribed. The measure of ∠A=67°. What is the measure of ∠C?

Answers

Answer:

angle C =113 degree

Step-by-step explanation:

angle A + angle C =180 degree

angle C = 180 degree - angle A  

angle C = 180 degree - 67 degree

=113 degree

Ct+7m. If C=5,t=2, and m=2

Answers

Answer:

24

Step-by-step explanation:

5(2) + 7(2) = 10+14 = 24

Do you think credit cards want customers to pay off their balances?

Answers

Answer: 12 THE ANSWER IS 12 FOR SURE

Step-by-step explanation: Did I get it right!?!??!

Credit cards are meant to use when a customer has no money, so someone the costumer might not be able to pay off their balances

8-10÷2+7x3

need this answer for homework
only reply if you know the exact answer
thank you for being kind​

Answers

Answer:

24

Step-by-step explanation:

use pemdas

Hope this helps

a number p divided by 22

Answers

Answer:

a number p, 14 - p

Step-by-step explanation:

The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 66 feet, what is the rate of change of the radius? Round your answer to three decimal places.

Answers

Answer:The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 6 feet, what is the rate of change of the radius? Round your answer Io three decimal places. 37.699 ft/min 3.701 ft/min 7.401 ft/min 2.79 ft/min

Step-by-step explanation:

If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation 2.58, what is the probability that a randomly chosen golfer's score is below 70 strokes

Answers

Answer:

0.6069

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 69.3 ; Standard deviation = 2.58

For :

P(x < 70)

Z = (70 - 69.3) / 2.58

Z = 0.7 / 2.58

Z = 0.2713

P(Z < 0.2713) = 0.6069

Express in simplest form: (3x^2 + 4x - 8) - (-2x^2 + 4x + 2)​

Answers

Answer:

5x² - 10

Step-by-step explanation:

Step 1:

( [tex]3x^{2}[/tex] + 4x - 8 ) - ( [tex]-2x^{2}[/tex] + 4x + 2 )   Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2    Open Parenthises

Answer:

5x² - 10          Simplify

Hope This Helps :)

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Step 1:- Remove unnecessary parantheses.

3x² + 4x - 8 + 2x ² - 4x - 2

Step 2 :- arranging like terms.

3x² + 5x² + 4x - 4x -8 - 2

Step 3 :- Calculate like terms.

5x² + 10

Suppose that a large mixing tank initially holds 500 gallons of water in which 60 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 5 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)

Answers

Answer:

The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"

Step-by-step explanation:

[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]

what is the location of the point on the number line with the largest value
a. 3/4
b. 3/2
c. 6/5
d. 7/5​

Answers

Answer:

3/2

Step-by-step explanation:

6/5 = 1 1/5

7/5 = 1 2/5

3/2 = 1 1/2

1/5 < 2/5 < 1/2

Use the graph of f(x) to write its equation. y! X​

Answers

Answer:

y = |x + 2|

Step-by-step explanation:

given the straight shape, it must be a linear function, but the "bend" in it indicates that an absolute value is being used.

So to start we can say: y = |x|

But that's not sufficient, as it would show that bend being at 0, 0. Instead, we need to translate it two units to the left, giving us:

y = |x + 2|

Please help If using the method of completing the square to solve the quadratic equation
22 - 142 – 40 = 0, which number would have to be added to "complete the
square"?

Answers

I don’t know I suck at math sadly

NEED HELP ON THIS ASAP!!

Answers

Answer:

Solution given:

<Q+<P=180°[su m of co interior angle is supplementary]

<Q+95=180

<Q=180-95

<Q=85

m<Q=85° degree

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 4 and flipping heads? Write your answer as a fraction in simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

the options greater than 4 on a six-sided dice are 5 and 6 so 2 out of the 6 options so that simplifies to 1/3 and then heads or tails for the coin is 1/2 so then multiply 1/3 times 1/2 to get the probability of those both happening and the answer is 1/6

Plz help me....
What are the coordinates of point A?

Answers

Answer:

It's 5/4 because you go by x first

Answer:

A:(5,4)

Step-by-step explanation:

Just look. at the graph.Hope this helps

Evaluate C(8,2)

thank u!!!!

Answers

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use:

nCr = n! / r! * (n - r)!

here n = 8

r = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)

8C2

8! / 2! * (8 - 2)!

56/2

28

So, 8C2 = 28

6. Yenni bought some apple pies for $13 and had some money left. If she
buys 1 more apple
pie, she would have $0.20 left. If she decided to buy 3
more apple pies, she would be short of $1.80.
(a) How many apple pies did she buy with $13?
(b) How much money did Yenni have at first?

Answers

Answer:

A) Since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

B) Yenni had $ 14.20 at the beginning.

Step-by-step explanation:

Since Yenni bought some apple pies for $ 13 and had some money left, and if she buys 1 more apple pie, she would have $ 0.20 left, while if she decided to buy 3 more apple pies, she would be short of $ 1.80, for To determine how many apple pies did she buy with $ 13, and how much money did Yenni have at first, the following calculations must be performed:

0.20 - (-1.80) = X

0.20 + 1.80 = X

2 = X

2/2 = 1

Therefore, since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

13 + 1 + 0.20 = 14.20

14.20 - 13 = 1.20

In turn, Yenni had $ 14.20 at the beginning.

I have a rectangular figure. I enlarge the rectangle so that each dimension is 9 times its original dimension.
Which statement about the areas of the pictures is true?

A. The area of the enlarged rectangle is 9 times the area of the original
B. The area of the enlarged rectangle is 81 times the area of the original.

Answers

The answer is b. Let me know if you need an explanation

I neeeddddd help on this I’m failing

Answers

Answer:

AB = 9

Step-by-step explanation:

Here is a simple case of a proportion.

We see that:

3:4

x:12

what can we do to make 4 into 12?

we multiply it by 3

so we do the same to 3

3*3=9

The nutrition label on a carton of soy milk says that one glass contains 7 grams of protein. How many milligrams of protein does one glass contain

Answers

The answer is 7000mg.

The base of a triangle is 2 ft. The height of hr triangle is 15 in. What is the area of he triangle in square inches.

Answers

Answer:

A=180in²

Step-by-step explanation:

b≈0.61m

h≈0.38m

Answer:

180 in

Step-by-step explanation:

since you need the answer in inches first turn the 2 feet into inches so it would be 24 inches then follow the formula...........area = (1/2) · b · h and your answer should be 180. I hope I helped :)

(3x2+2−x3)−(−5x3+2x2+1)



Express the answer in standard form.

Enter your answer in the box.

Answers

Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Simplify each term.

3x²+2−x³+5x³−2x²−1

Simplify by adding terms.

4x³+x²+1

Step-by-step explanation:

Please Answer Correctly - Will Give Branliest & Extra Points. (links or unidentified/wrong answers will be reported and auto banned)

Answers

Answer:

Step-by-step explanation:

11 no

46+4x=90 degree(being perpendicular)

4x=90-46

x=44/4

x=11

12 no

They are complementary angles

6 no

angle B+27=180 degree(being straight line)

angle B=180-27

angle B=153

10 no

angle 38 +angle DFE=180 degree(being supplementary)

angle DFE=180-38

angle DFE=142 degree

5 no

They are vertically opposite angles.

7 no

angle AGF and angle CGD (because they have common arm and vertex)

Answer:

Solution given:

11.4x+46=90[being right angle]

4x=90-46

x=44/4

x=11

12.

Complementary angles

5.

vertical

6.

<ABD+27=180°[linear pair]

<ABD=180-27

<ABD=153° degree

10.

<DFE+38=180[being supplementary]

<DFE=180-38

<DFE=142 degrees.

7.

angle DGE and angle DGC

8.

<AGB and <AGE

Find the area of the sector formed by a central angle of 45 degrees in a circle of radius 2.1
meters. Round to the hundredth.

Answers

Answer:

1.731 meters squared

Step-by-step explanation:

Look at the image for reasoning

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