In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches. Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?

Answers

Answer 1

Answer:

Area of Shaded Area = 18.3

Step-by-step explanation:

P.S - The exact question is -

Given - In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches.

To find - Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?

Proof -

We know that,

Area of a quarter circle = [tex]\frac{1}{4} \pi r^{2}[/tex]

Also,

We know that ,

Area of isosceles Triangle = [tex]\frac{1}{2}*Base*Height[/tex]

Now,

Given that,

Radius of quarter circle = 8 inches

Base of Isosceles Triangle = 8 inches

Height of Isosceles Triangle = 8 inches

∴ we get

Area of a quarter circle = [tex]\frac{1}{4} \pi (8)^{2}[/tex] = 16[tex]\pi[/tex]

Area of isosceles Triangle = [tex]\frac{1}{2}*8*8[/tex] = 32

Now,

Area of Shaded area = Area of a quarter circle - Area of isosceles Triangle

                                 = 16[tex]\pi[/tex] - 32

                                 = 50.265 - 32

                                 = 18.265 ≈ 18.3

⇒Area of Shaded Area = 18.3

In The Following Diagram, A Quarter Circle Has Been Constructed Using An Isosceles Right Triangle Whose

Related Questions

You have a handfull of loonies and quarters in your hand. In total, there are 20 coins and the value of all of these coins equals $14.75. How many loonies and how many quarters do you have?

Answers

Answer:

You have 13 loonies and 7 quarters.

Step-by-step explanation:

Given that you have a handfull of loonies and quarters in your hand, and in total, there are 20 coins and the value of all of these coins equals $ 14.75, to determine how many loonies and how many quarters do you have the following calculation must be done:

Loonie = 1

Quarter = 0.25

1 - 0.25 = 0.75

20 x 0.25 = 5

14.75 - 5 = 9.75

9.75 / 0.75 = 13

13 x 1 + 7 x 0.25 = X

13 + 1.75 = X

14.75 = X

Therefore, you have 13 loonies and 7 quarters.

If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please

Answers

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?

Answers

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

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Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.

WILL MARK BRAINLEST!!!

Answers

Answer:

565.2

Step-by-step explanation:

Cone=1/3bh

B is pir^2

so that means b=pi36 (6*6 =36)

36*15/3 is 565.2

Alexandra owns a small business selling bagels. She knows that in the last week 95 customers paid cash, 4 customers used a debit card, and 31 customers used a credit card.
Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.

Answers

last week

(dc: debit card & cc: credit card)

# of customers paid cash: 95
# of customers paid with dc: 4
# of customers paid with cc: 31

95+4+31= 130

Something other than a cc, meaning we sum the values of the # of customers who paid cash or dc.

= 99

Answer: 99/130

Find the average rate of change of y=log3⁡ x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.

Answers

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

The average rate of change is [tex]\frac{6}{25}[/tex]

What is rate of change over an interval?

'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'

According to the given problem,

Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

y = log3x

⇒ a= 1

   b= 3

Therefore,

⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]

⇒ [tex]\frac{log9 - log3}{2}[/tex]

⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]

⇒ [tex]\frac{1}{2}[/tex] * log 3

⇒ [tex]\frac{6}{25}[/tex]

Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]

Learn more about rate of change here: https://brainly.com/question/18193470

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look at pic 10 pts will mark brainilest

Answers

Answer:

6

Step-by-step explanation:

E ( [tex]x_{A} ;y_{A}[/tex] ) = (-2, -3)

G ( [tex]x_{B} ;y_{B}[/tex] ) = (4, -3)

Objective : Find the distance between two given points EG

Formula : Distance between two points

[tex]d = \sqrt{( x_{B} -x_{A} )^{2} + ( y_{B} -y_{A} )^{2}}[/tex]

Solution : [tex]d = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} =\sqrt{36+0} =6[/tex]

A middle school band uses a company to manage its fundraisers. The company charges a fee of $260 per fundraiser for its services. For the first fundraiser of the year, the band is selling insulated cups with school logos on them for $10.50 each. The goal of the fundraiser is to raise at least $1000.00. The following inequality represents this situation, where c stands for the number of cups

Answers

Answer:

Step-by-step explanation:

10.5c>or equal to 1260

Answer:

I don't see any inequality or a question.

Step-by-step explanation:

I suspect you want to know the minumum number of cups to sell in order to raise $1000 and pay off the company its $260

        c(10.5) - 260 > 1000

                     c  >  (1000 + 260) /10.5

                     c >  120 cups

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

1,908.5

Step-by-step explanation:

Add 1900 + 1917 and divide by two

1900+ 1917 = 3817

3817 divided by 2 = 1908.5

Please help
Whoever gets right will receive brainliest

No links or spam

Answers

Step-by-step explanation:

Area of a circle = πr²

r = 6 mm (given)

Area = π(6)² = 36π mm².

Answer:

area if circle =πr²=π6²=36πmm²

1 divided by what equals 2.2?

Answers

Answer:

The answer is 2.2

Step-by-step explanation:

To find the missing number, you need to use the opposite operation to find the value of n:

Original equation: 1 / n = 2.2

New equation: 1 * 2.2 = 2.2

Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship

Answers

Answer:

Larger groups take less time

Step-by-step explanation:

Mr. Gray scored 20, 22, 31, 37, 39, and 40 points in 6 basketball games. How would
the range change if he scored 28 points?

Answers

Answer:

28,30,39,45,47 and 48

Step-by-step explanation:

add 8 to all nubers

A car was purchased for $34,000. The car depreciates by 27% of each year

a) What is the value of the car when it is 12 years old?

b) How long will it take for the car to be worth less than $100?

Answers

Answer: a) $778.67  b) 19 years

Step-by-step explanation:

The formula you would use is

[tex]a_{n}=P(1-r)^{n}[/tex]

where a is the amount

n is the length of time

P is the principle

and r is the rate in decimal form

a)

[tex]a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67[/tex]

b)

put your initial equation into a graphing calculator and  use the table function to find that after 18 years it is worth 117 and in 19 years 86-

A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *

Answers

Step-by-step explanation:

88 X 0,15 =....

... X 1.05 = answer

please sove this
I will mark you as brainleist like and give five stars​

Answers

It would be a negative Integer

Answer:

Negative

Step-by-step explanation:

A negative times a negative equals positive

A positive times a negative equals a negative

A positive times a positive equals a positive

Help me please! I will mark brainliest for whoever gets it right the fastest.

Answers

Answer:

274

Step-by-step explanation:

A bag contains 6 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answers

Answer:

Step-by-step explanation:

i think you meant whats the probabilty of it being red

if thats what you meant, then it would be:

total number of marbles : 18

number of red marbles: 6

probability of the green marbles: 6/18

so the answer is 1/3

A square-shaped painting has an area of 120 square inches. What is the length of each of its sides?

Answers

Answer:

30

Step-by-step explanation:

120÷4=30 (4 because a square has 4 sides)

and you can check it by doing 4×30=120

hope this helped

What is the length of EF? (PLEASE HELP)




π

Answers

Answer: 8 pie

Step-by-step explanation:

8====>

The length of the given arc is determined as 2π.

option B is the correct answer.

What is the length of the arc EF?

The length of the arc EF is calculated by applying the formula for the length of an arc as shown below;

EF = θr

where;

θ is the angle subtended by the arcr is the radius of the sector

From the given diagram, the radius of the arc = 4, and the angle subtended by the arc = π/2

The length of the arc is calculated as follows;

EF = ( π/2 ) x 4

EF = 2π

Thus, the length of the given arc is determined by applying the formula for length of an arc.

Learn more about length of arc here: https://brainly.com/question/2005046

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A school is arranging a field trip to the zoo. The school spends 795.34 dollars on passes for 36
students and 2 teachers. The school also spends 339.48 dollars on lunch for just the students.
How much money was spent on a pass and lunch for each student?



if i dont get this right i have to go to summer school and ya girl not tryna go there lol

Answers

Answer $17.22 was spent on a pass and $8.94 on lunch for each student and that implies a total of $26.16 was spent on each student

Step-by-step explanation:

Two stores sell painting kits. Store 1 charges $12.50 for the painting kit, and customers can buy additional paintbrushes for $0.75 each. The table shows the total cost of purchasing a painting kit plus additional paintbrushes from Store 2, where each paintbrush costs the same amount.

Answers

Answer:

14$

Step-by-step explanation:

Please mark brainliest

Which expression has a greater value, 3/8 x 5:6 or 3/8 divided by 5/6? Explain

Answers

Answer:

3/8 divided by 5/6

Step-by-step explanation:

To divide a fraction by a fraction, you multiply the first fraction by the reciprocal (aka the fraction flipped upside down, in this case the reciprocal of 5/6 is 6/5). Since 6/5 is greater than 5/6, 3/8 divided by 5/6 is greater than 3/8 times 5/6.

Answer:

[tex]\frac{3}{8}[/tex] ÷ [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{15}{64}[/tex] is 0.234375

[tex]\frac{9}{20}[/tex] is 0.45

0.234375 < 0.45

give me brainllest

find the length of x


help please i need it asap

Answers

Step-by-step explanation:

[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]

#CMIIW

Help me pls I really need help

Answers

I think is 200 minutes

c Find the distance between the points L and B.

A) 2

B) 3

C)4

D)6​

Answers

Answer:

The right answer is D

L and B are on y = -4

L in on x=-4 and B on x=2

So, the distance is

|-4|+2=4+2=6

Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

Answers

Bro I’m rly sorry but I don’t know the answer to this

Answer:

64.80

Step-by-step explanation:

If it’s right I will give Brainlyist

Answers

Answer:

its F

Step-by-step explanation:

because 1+1 is AxB is 21

help me please with this answer I'm stuck ​

Answers

linear is the correct answer

Hurry ASAP) Graph the system of equations. f ( x) = x^2 - 5x + 7 and g(x)=2x + 1. Which statements are true about the solutions to the system of equations? Select each correct answer. ( I accidentally clicked on option A but I don't know the answer at all). Will Mark Brainliest. ​

Answers

Answer:

N/A

Step-by-step explanation:

Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions

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