Arc math problem

Thanks

Arc Math Problem Thanks

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

17). Area of a sector of a circle = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]

                                                  = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

     Here 'r' = radius of the circle

     From the picture attached,

     r = 10 ft

     θ = 300°

    Area of the sector = [tex]\frac{300}{360}[\pi (10)^{2}][/tex]

                                    = [tex]\frac{5}{6}(100\pi )[/tex]

                                    = [tex]\frac{250\pi}{3}[/tex]

    Area of the sector = [tex]\frac{250\pi}{3}[/tex] ft²

   Therefore, Option (D) will be the correct option.

Answer 2

Answer:

area of greater arc/sector=300/360 ×πr²=5/6 ×π10²=250π/3 ft²


Related Questions

Laurie had three $2 off coupons for the mini-golf course, but everybody else had to pay $9 per person, the full price. What was the total cost for their group of 8 to play mini-golf?

A: $51
B:$62
C:$63
D:$66​

Answers

Answer:

D

Step-by-step explanation:

9x8=71

2x3=6

71-6=66

Answer:

D $66

Step-by-step explanation:

So first we need to figure how much money she was able to deduct from the three $2 coupons. Remember the original price is $9

3×2=6 (which means she can get $6 off of the original price $9.)

9-6= 3 (So now she only has to pay $3 while the other seven people in her group pays the original price $9.)

9×7= 63 (So $9 for the 7 other people equals $63. That is how much they are paying. Now let's add Laurie's amount!)

63+3=66 (So altogether everyone including Laurie is paying $66.)

So the final answer is $66

(I hope this helps you! Have a wonderful day everyone!)

:)

The cost of 9 scarves is $87.75. What is the unit price?

Answers

Answer:

the answer is 9.75 for one

Step-by-step explanation:

divide 87.75/9

hope this helped

What number will complete the point-slope equation that models this scenario?

y−50,000=[_______](x−10)

Answers

Answer:

-3000

Step-by-step explanation:

edge2021

Answer: -3000

Step-by-step explanation: Did it on Edge and got it right!

barney has 14 dimes and quarters worth $2.15. write the system of equations

Answers

Answer: 14 dimes and 3 quarters

Step-by-step explanation:

14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters

How many solutions does 1.25x+4=1.00x+6 have

Answers

Answer:

One solution which is 8

Step-by-step explanation:

Hope this helps. Pls give brainliest.

The Vanderbloom family already traveled 200 miles on their vacation. The total distance that they will travel (d) is a function of their rate of travel (r) and their upcoming travel time (t).

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll ask and answer possible questions that emanate from the given parameter.

A possible question is: Write the given information as a function of distance.

We have that;

[tex]Base\ Distance = 200[/tex]

[tex]Time = t[/tex]

[tex]Rate = r[/tex]

The function would be calculated as:

Base Distance + Rate * Time

Substitute values for Base Distance, Rate and Time

This gives:

[tex]200 + r * t[/tex]

[tex]200 + rt[/tex]

Hence;

[tex]Distance = 200 + rt[/tex]

Another possible question is to determine the current distance travelled by the family at a rate of 80 miles per hour for 3 hours.

Here, we have:

[tex]r = 80[/tex]

[tex]t = 3[/tex]

Substitute these values in [tex]Function = 200 + rt[/tex]

[tex]Distance = 200 + 80 * 3[/tex]

[tex]Distance = 200 + 240[/tex]

[tex]Distance = 440[/tex]

Evaluate 4b – a when a = 12 and b=7.
4b - a= 0

Answers

Answer: 4b - a = 15

Step-by-step explanation: if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.

4b - a
4(7) - (12)
28 - 12
16

Round 0.6203 to
the tenths place

Answers

Answer:

0.6

Step-by-step explanation:

0.6


I know someone answered but let me explain. After the decimal point, we go to the “th’s.” So tenths, hundredths, thousandths, and so on! Now your looking at the tenths place. If your rounding up, you have to look at the next one (so the hundredths place which is the 2.) If it’s 5 or greater than 5, it goes up, but it’s not, so it would be just a 6. Hope that helps you or anyone else!

simplify the expression (x to the 12 power) to the 3 power

Answers

Answer:

Step-by-step explanation:

To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form. First, I expand:

(x3)(x4) = (x‍x‍x)(x‍x‍x‍x)

Now I can remove the parentheses and put all the factors together:

(x‍x‍x)(x‍x‍x‍x) = x‍x‍x‍x‍x‍x‍x

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This is seven copies of the variable. "Multiplying seven copies" means "to the seventh power", so this can be restated as:

x‍x‍x‍x‍x‍x‍x = x7

Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?

Answers

Answer:

there are 120 apples in each basket and 5 are left over

Step-by-step explanation:

6. Maria rides the bus every day. She bought a bus pass good for the month of
October for $38.75. How much was Maria spending per day for the bus pass?

Answers

Answer:

Maria is spending $1.25 for the bus pass everyday

Step-by-step explanation:

Given that Maria paid $38.75 for the pass for a month

As she bought the pass for the month of October and October has 31 days, dividing the amount paid for pass by 31 will give us the per day cost that she is spending.

So,

[tex]Per\ day\ cost = \frac{38.75}{31}\\= 1.25[/tex]

Maria is spending $1.25 for the bus pass everyday

4. You have $40 in your wallet, but you do not want to spend all of it. You want to have at least some money left. You find a shirt for $5 and buy it. What is the amount of money (m) you have left to spend?

OPTIONS (MULTIPLE CHOICES) ARE IN THE COMMENTS

Answers

Answer:

B

Step-by-step explanation:

solving a compound inequality. check all that apply.

Answers

Answer:

The solutions are:

-28.25, -14.5, -2.25

Step-by-step explanation:

Given compound inequality is:

[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]

The compound inequalities are broken down into two inequalities to find the solution

The two inequalities will be:

[tex]\frac{2x+4}{3} \geq -17.5[/tex]   AND   [tex]\frac{2x+4}{3}<{17.5}[/tex]

Solving both inequalities one by one

[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]

The solution is:

-28.25 ≤ x < 24.25

We have to see which options lie in the solution range.

The solutions are:

-28.25, -14.5, -2.25

Given f(x) = x^3 + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k?

Answers

Can you please help me I really need help with math

The required simplified value of k is 8 for given conditions.

Given that,
f(x) = x³ + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.


Here,

f( x ) =  x³ + kx + 9  / x + 1
remainder = 9 - (k+1), it should be equal to zero for the proper factor. So,
9 - (k + 1 ) = 0
9 = k +1
k = 8

Thus, the required simplified value of k is 8.

Learn more about simplification here: https://brainly.com/question/12501526

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first to answer gets brainlest <33

Answers

Awww man the other person answered before me :(

1. Angelina received 10% off a $50 pair of shoes. How much did she save?

Answers

Answer:

$5

Step-by-step explanation:

Multiply 0.10 by $50

5

So Angelina saved $5

Hope this helped :)

|) Mei Li is going orange
picking. She is choosing
between two orange
orchards. The cost of a
basket of oranges at each
orchard is shown.
Which orchard should Mei
Li choose? Explain.

Answers

Answer:

Annie's Orange Grove

Step-by-step explanation:

* you need to find out how much each pound of oranges cost at both orchards.

* to do so you take the total amount of money and divide it by the number of pounds you get.

1) 7.25 ÷ 20 = .36

2) 5 ÷12 = .4

* as you can see .36 is less than .4 and therefore is the better deal.

Passing through
(1,2) and (5,10)

Answers

Step-by-step explanation:

equation of the line is

y =mX + C

to calculate m(slope) :

m= 10-2/5-1 = 2

to find C ....Substitute in eq. by one point

2= 2×1+C

C. = 0

So the eq. is

y=2X

Find the x- and y-intercept of the line.

–3x + 5y = 75
a
x-intercept is 5; y-intercept is –3
b
x-intercept is –3; y-intercept is 5
c
x-intercept is –25; y-intercept is 15
d
x-intercept is 15; y-intercept is –25

Answers

Answer:

x intercept-25; y intercept is 15

write the following numbers in order starting with the smallest 1.75kg 1975g 0.9kg 1800g

Answers

0.9kg

1.75kg

1800g

1975g

Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?

Answers

So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.

A customer at a store paid $42 for 4 pairs of pants and 3 shirts. At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?

Answers

Answer:

The system of Equations:

4x + 3y = 42

x + 7y = 44

Step-by-step explanation:

Let the price in dollars of

each pair of pants = x

each shirt = y

A customer at a store paid $42 for 4 pairs of pants and 3 shirts.

Hence:

4 × x + 3 × y = $42

4x + 3y = 42

At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts.

This means he, paid $42 +$2 = $44

Hence:

1 × x + 7 × y = 44

x + 7y = 44

The system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y is

4x + 3y = 42.... Equation 1

x + 7y = 44..... Equation 2

What's the value of 6.7×0.54

Answers

Answer:

What's the value of 6.7×0.54

=

3.618

Step-by-step explanation:

Answer:

3.618

Step-by-step explanation:

3.618

Solve cos x + √2 = -cos x for x over the interval [0, 2Π)

Answers

Answer:

[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Equations

It's required to solve:

[tex]\cos x+\sqrt{2}=-\cos x[/tex]

for [tex]x\in [0,2\pi)[/tex]

Adding cos x:

[tex]2\cos x+\sqrt{2}=0[/tex]

Subtracting [tex]\sqrt{2}[/tex]

[tex]2\cos x=-\sqrt{2}[/tex]

Dividing by 2:

[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]

Solving for x:

[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]

We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.

These angles lie on the quadrants III and IV respectively and they are:

x=135°, x=225°

Converting to radians:

135 * π / 180 = 3π/4

225 * π / 180 = 5π/4

The two solutions are:

[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]

[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]

Answer:

The correct answer is option C

Step-by-step explanation:

Someone answer this question, please.

Answers

Answer:

B. 12

Step-by-step explanation:

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?



Chloe cut enough fabric because she cut the amount of fabric for the skirt.



Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.



Chloe did not cut enough fabric because she only cut the amount of fabric for the skirt.



Chloe did not cut enough fabric because she only cut the amount of extra fabric.

Answers

Answer:

D

Step-by-step explanation:

She only cut the 15% extra and no the other 75%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.

Calculate the percentage of the fabric from the given data,

Percentage = 0.1125 / 0.75

Percentage = 0.15 x 100

Percentage = 15%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.

To know more about percentages follow

https://brainly.com/question/24304697

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GAIQNFKDKER HELP PLZ

Answers

Answer:

it's the first answer

Step-by-step explanation:

literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else

Which equation represents the axis of symmetry
for the function y =-4(X+6)* +4?
A X=6
B X=4
C X=-6
X=-4

Answers

the axis of symmetry is -6 because the x always lies.

HELP ME PLEASE DON’T STEEL MY POINT

Answers

Make the 2x a fraction so it’s 2/1x then start at -5y then go up 2 and over 1 to get your answer hope that helped

In AFGH, the measure of ZH=90°, the measure of ZF=18°, and GH = 9.4 feet. Find
the length of HF to the nearest tenth of a foot.

Answers

Answer:

20.9 feet

Step-by-step explanation:

i really hope this helps and have a good day

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