A sector of a circle with radius 8 cm has an angle measure of 120°. What is the area of the sector to the
nearest tenth of an inch?

Answers

Answer 1

Answer:

125.66cm

Step-by-step explanation:

Answer 2

Answer:

64.9 cm

Step-by-step explanation:

Area of a sector is

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

r is 8 and the angle measure is 120

[tex]A=\pi 8^{2} (\frac{120}{360} )\\A=62\pi (\frac{120}{360} )\\A=64.93[/tex]

or 25.5 inches ? The question has the radius measured in cm, but asks for the answer in inches. So depending on how the actual question is worded, the answer will change.

64.9cm is equal to about 25.5 inches


Related Questions

Write the function for the graph.
(1,12)
(0,3)
O A. f(x) = 3•(12)^x
O B. f(x) = 4•(3)^x
O C. f(x) = 3•(4)^x
D. f(x) = 4•(12)^x

Answers

Answer:

[tex]f(x) =3 * (4)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1, y_1) = (1,12)[/tex]

[tex](x_2, y_2) = (0,3)[/tex]

Required

The function of the graph (exponential function)

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

For [tex](x_1, y_1) = (1,12)[/tex], we have:

[tex]12 = a * b^1[/tex]

[tex]12 = a * b[/tex]

[tex]12 = a b[/tex]

For [tex](x_2, y_2) = (0,3)[/tex]

[tex]3 = a * b^0[/tex]

[tex]3 = a * 1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute: [tex]a = 3[/tex] in [tex]12 = a b[/tex]

[tex]12 = 3 * b[/tex]

Divide both sides by 3

[tex]4 = b[/tex]

[tex]b =4[/tex]

So, we have:

[tex]f(x) = ab^x[/tex]

[tex]f(x) =3 * (4)^x[/tex]

The length of a cell phone is 2.2 inches and the width is 4.6 inches. The company
making the cell phone wants to make a new version whose length will be 2.09 inches.
Assuming the side lengths in the new phone are proportional to the old phone, what
will be the width of the new phone?

Answers

Answer:

The width of the new phone will be of 4.37 inches.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

In this question:

Length was of 2.2 inches, after the modification is of 2.09 inches.

Width was of 4.6 inches, after the modification is x. So

2.2 - 2.09

4.6 - x

Applying cross multiplication:

[tex]2.2x = 2.09*4.6[/tex]

[tex]x = \frac{2.09*4.6}{2.2}[/tex]

[tex]x = 4.37[/tex]

The width of the new phone will be of 4.37 inches.

1) Which choice best represents the height of a box of cereal? A. 30 millimeters B. 30 centimeters C. 30 kilometers D. 30 meters​

Answers

Answer:

30 centimeters

SHEEEEEEEEEEEEEEEEEEEESH

THIS IS DUE IN LIKE 5 MINUTES I WILL GIVE YOU BRAIN THING IF ITS CORRECT PLEASE HELP NO LINKS THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT

Answers

Answer:

The answer is C.

Step-by-step explanation:

to find the area you need to multiply the width times length, to find the length you need to add the c and 15 and have that mulitplied by 1/5

.

1/5(c+15)

If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.

Answers

Answer:

91.72% likely that the soil sample contains organic matter.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

Of 700 samples that contain organic matter, 665 give a positive result and 700 - 665 = 35 give a negative result.

Of 300 samples that do not contain organic matter, 300 - 240 = 60 give a positive result and 240 give a negative result.

If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.

665 with organic matter out of 665 + 60 = 725 positive tests.

665/725 = 0.9172

0.9172*100% = 91.72%.

91.72% likely that the soil sample contains organic matter.

geometry is so hard someone please help thank you ;)

Answers

The person on top is correct!!

I WILL GIVE BRAINLEST AND A LOAD OF POINTS
When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 4?

Answers

Answer:

Either 4:1, or 8:1

Step-by-step explanation:

I'll choose 8:1 for now, I'll update this answer if it's correct or not.

Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results

Answers

Answer:

H0 : μ = 18000

H1 : μ < 18000 - - - > Claim

Test value = - 3.578

Critical value = ±2.58

There is significant evidence to accept the claim that mean debt at graduation is less than $18000

Step-by-step explanation:

H0 : μ = 18000

H1 : μ < 18000

From the data:

Sample size, n = 30

Sample mean, x = 16298.37

The test statistic :

(16298.37 - 18000) ÷ (2605/sqrt(30))

−1701.63 / 475.60575

= - 3.578

The critical value :

Using the standard normal table;

Critical value at α = 0.01

Critical value = ±2.58

Decison region :

|test statistic | > |Critical value | ; reject H0

|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000

Solve the exponential equation
2^x+10 = 18

Answers

answer:
x = 2

step-by-step explanation:
2x^2 + 10 = 18
4x + 10 = 18
-10 -10
4x = 8
/4 /4
x = 2

Select the correct answer from each drop-down menu

Answers

first one: Exact Form:
- 2 √2-√3-√6-√2/4
Decimal Form:
0.70710678...

please help. NO LINKS. ​

Answers

Answer:

the answer is A

y= 1.9x + 69

y=6x

Need help pls. 100 points

Answers

arcAE = 126°

Step-by-step explanation:

Note that arcAD is a diameter therefore arcAD = 180°. And arcAD = arcAE + arcED

Also note that the inscribed angleEAD intercepts the arcED and according to the inscribed angle theorem,

angleEAD = (1/2)arcED

or

arcED = 2×angleEAD = 2×(27°) = 54°

This means that the arcAE is

arcAE = arcAD - arcED

= 180° - 54°

= 126°

[tex]\\ \sf\longmapsto arc \overset{\sim}{ED}=2(<A)=2(27)=54°[/tex]

Now

[tex]\\ \sf\longmapsto arc\overset{\sim}{AE}+arc\overset{\sim}{ED}=180[/tex]

[tex]\\ \sf\longmapsto arcc\overset{\sim}{AE}=180-54=126°[/tex]

Solve for x.

a. x + 4 1/4 = 5 1/5


b. x - 1 1/2 = 3/4​

Answers

Step-by-step explanation:

done.................

How many hours in a year?​

Answers

There are 8,760 hours in a year. Because there are about 730 hours per month

Answer:

Here is your answer hope it helps u have a great day ahead....

Kind of easy giving alot points to anyone who knows​

Answers

Answer:

5 hours

Step-by-step explanation:

cellus
Solve for 43.
43 = ?
43 44=90°
Enter

Answers

Answer:

[tex] \displaystyle \angle3 = {90}^{ \circ} [/tex]

Step-by-step explanation:

we are given two angles

we are want to figure out the missing angle

remember,

Straight line theorem

so we acquire

[tex] \displaystyle \angle3 + \angle4 = {180}^{ \circ} [/tex]

substitute the value of the given angle:

[tex] \displaystyle \angle3 + {90}^{ \circ} = {180}^{ \circ} [/tex]

cancel 90° from both sides:

[tex] \displaystyle \angle3 = {90}^{ \circ} [/tex]

hence, the measure of the missing angle is 90°

Answer:

Solution given:

<4=90°

<3+<4=180°[sum of pair of line is supplementary]

<3=180°-90°

<3=90°is a required answer.

Can someone please tell me what is 19x8+80-7?

Answers

Answer:

225

Step-by-step explanation:

Your answer is 225.

Simplify the following expression.

(4x + 1)(x - 4)
A.
4x2 - 15x - 5
B.
4x2 + 15x - 4
C.
4x2 - 15x - 4
D.
4x2 - 17x - 4

Answers

Answer:

[tex](4x + 1)(x - 4) = 4x( x - 4) + 1(x-4)[/tex]

                       [tex]=4x^2 -16x +x -4\\=4x^2 -15x -4[/tex]

option C

I don’t know if the answer is 60 or 180 please help

Answers

Answer:

b = 120

Step-by-step explanation:

a & b are vertical angles and vertical angles are congruent, thus, a and b are congruent.

=> a = b, a = 120

=> b = 120

In the triangle below.

Answers

Answer:

(1)  36.6 feet

Step-by-step explanation:

m∡Q = 180-(90+55) = 35

sin 35°/21 = sin 90°/PQ

cross-multiply to get:

21 = sin35·PQ

21/sin 35 = PQ

PQ = 36.6

There is a bin of markers.
For every 2 red markers, there are
5 purple markers. Use the table to
represent the ratio of purple
markers to red markers.

Answers

The ratio would be 2:5

An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method

Answers

9514 1404 393

Answer:

  $1.74

Step-by-step explanation:

The ratio of the increase to this year's wage is ...

  12%/112% = x/$16.24

Multiplying by $16.24, we have ...

  x = $16.24(12/112) = $1.74

The dollar amount of the wage increase is $1.74.

Evaluate m) (x) for x = -3.
=
I
m (-3) =

Answers

-3m ??? Your question is not well asked

Joe drove 80 kilometers per hour for 4 hours. How far did he go?

Answers

Step-by-step explanation:

velocity = distance/time taken

distance=velocity ×time taken

distance=80×4

distance=320kilometers

he went 320kilometers

You deposit $5,000 in an account that pays 2% annual interest. How long
does it take the balance to reach $10,000 when the interest is
compounded continuously. Round to the nearest tenth of a year.

Answers

Do
/5000 times 2/100

The graph shows the relationship between the number of gallons of water and time. Let g represent gallons of water and t represent time.

Answers

Answer:

There's no graph in your question!

What is the absolute value of 6(cos315+isin315)

Answers


Couldn’t write it good

please give my brainiest if right have a good day

Tony's 1st two jumps were 11 2/3ft and 11 1/2ft. His total distance was 44ft. How many feet was his final jump?

Answers

Answer: 20.83

Step-by-step explanation:  44 - 11 2/3 - 11 1/2 = 20.83

Too Easy.

Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).

Answers

Evaporation changes liquid water and even solid water (ice) to water vapor, which is a gas. This all part of the water cycle! Hope this helps!!

Answer:

Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle

Step-by-step explanation:

thank you

help!!!!!!!!!!!!————

Answers

Answer :Could you take a better photo? I dont quite understand what needs to be found there

Step-by-step explanation:

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