Find the length of an arc intercepted by a central angle o in a circle of radius r.
r= 30.14 ft, 0 =Pi/25 radians
A. 11.4 ft
B. 1.9 ft
C. 7.6 ft
D. 3.8 ft

Answers

Answer 1

Answer:

D. 3.8 ft

Step-by-step explanation:

circumference = 2π * 30.14

arc length = 2π*30.14 * (π/25) / 2π = 60.28π/50 = 3.7875 ≈ 3.8


Related Questions

Find the percent change. 150 pounds to 135 pounds.

Answers

Answer:

-10%

Step-by-step explanation:

precent change = 135 - 150

(divide both sides by 150)

precent change = -0.1

(multiply both sides by 100 so change to precent)

precent change = -10%

Answer:

10%

Step-by-step explanation:

Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?

Answers

Answer:

61 ft

Step-by-step explanation:

The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.

The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches

Answers

Answer:

1.03 inches

Step-by-step explanation:

Volume of a come = 1/3πr²h

If the height of a right cone is 3 inches shorter than the radius, then;

h = r - 3

Substitute

V = 1/3πr²(r-3)

Given that V = 17in^3

17 = 1/3πr²(r-3)

17*3 = 3.14r²(r-3)

51/3.14 = r²(r-3)

16.242 = r²(r-3)

r² = 16.242

r = √16.242

r = 4.03

Since h = r - 3

h = 4.03 - 3

h = 1.03 inches

hence the height is 1.03 inches

Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?

Answers

49.5 mph
just multiply the miles by 2 because it is only half an hour

Answer:

24 3/4 miles is the distance

1/2 hour - is time

V=S/t

24\frac{3}{4}

4

3

/ 0.5 = \frac{(24*4+3)2}{4}

4

(24∗4+3)2

=49.5 miles per hour

Which expression is equivalent to 46 - 2x)?

A) 24-8x

B) 24-6x

C) 10-8x

D) 10-6x

Answers

Answer:

24-8x

Step-by-step explanation:

Answer:jghgghfgfhgfhghfj

Step-by-step explanation:

PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?

Answers

Answer:

14cm

Step-by-step explanation:

All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.

Think of the longest line in a cube as a hypotenuse on a triangle.

[tex]7^{2} + 7^{2} = c^{2}[/tex]

49 + 49 = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98

c = [tex]\sqrt{98}[/tex]

[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98 + 98

[tex]c^{2}[/tex] = 196

c = [tex]\sqrt{196}[/tex]

c = 14

The longest line in a cube that has a side length of 7cm is 14cm.

A savings account increases from ​$300 to ​$309. What is the percent increase of the savings​ account?

Answers

Answer:

9 percent

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

1st Method: Increase Formula = (Last value-first value)/(first value)

Increase = (309-300)/300 = 9/300 = 3/100

= 0.03 or 3%

2nd Method: 309/300 = 103/100 = 1.03 (increase over 1 is 0.03 = 3%

3. Is this data linear or nonlinear? Explain how you know.*

Answers

Answer:

Non-linear

Step-by-step explanation:

Not consistently increasing

plz help me with this question

Answers

The correct answer is 50

A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?

Answers

Answer:

84  pies

Step-by-step explanation:

if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies

Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
I WILL MARK BRAINLIEST ANSWER WITH STEPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

680 in^2

Step-by-step explanation: (find the surface area)

2(8 x 15 x 1/2) = 120

8 x 14 = 112

17 x 14 = 238

15 x 14 = 210

Answer:

This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest

Step-by-step explanation:

Please give me the correct answer.Only answer if you're very good at math.​

Answers

Answer:

1st graph

Step-by-step explanation:

this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense

It is the top left graph

I can tell because at 0 hours, they started out with 24 plants, which means there should be a point at (0,24). I also know that free every hour, they remove 3 plants, so the line should be going down (as the number of pots keeps on getting lower).

If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2

Answers

Answer:

1169 in^2 Approx

Step-by-step explanation:

Given data

We know that the shape of the pencil is cylindrical

Hence the dimension is

Diameter= 12in

Radius= 12/2= 6in

Height= 25in

The surface area of a cylinder is given as

T.S.A.=2πrh+2πr^2

Substitute

T.S.A.=2*3.142*6*25+2*3.142*6^2

T.S.A.=942.6+226.224

T.S.A=1168.824

Hence the area is 1169 in^2 Approx

Solve 2(x+3)=x-4
What is x?

Answers

Answer:

x=-10

Step-by-step explanation:

[tex]2(x+3)=x-4[/tex]

distributive property on left side:

[tex]2x+6=x-4[/tex]

subtract x from both sides

[tex]x+6=-4[/tex]

subtract 6 from both sides

[tex]x=-10[/tex]

Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

Distribute (multiply everything in parenthesis):

2x+6=x-4

Subtract -x from both sides

X+6=-4

Subtract 6 from from both sides:

X=-10

Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2

Answers

The answer is y=-8

Hope this helps

Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds?

Answers

Step-by-step explanation: The price of3.8 pounds of almonds=$39.90 thus we can write Hence the price of almonds is $10.50 per pounds.

AWNSERS:$10.50

Answer:

Step-by-step explanation: 39.90 x 3.8 = 151.62

I dont know how to do this pls help me ​

Answers

x = 36 Answer

By Pythagoras Theorem

Someone help with the second question

Pleaseeeee

Answers

Answer:

Answer shown above.

Have a good day

Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .

Answers

Correct Question:

Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:

The word "solution" means . . .

88 is a solution to 1/8x=11 because . . .

Answer/Step-by-step explanation:

✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.

✔️88 is a solution to ⅛x = 11 because:

if we substitute x for 88 into the equation, both sides would be equal.

Thus:

⅛×88 = 11

11 = 11


Find the measure of the indicated angle. Round to the nearest degree.
21
33

Answers

Answer:

The angle is 50 degrees

Step-by-step explanation:

Sine = Opposite / Hypotenuse

Sine ? = 21 / 33

21 / 33 = 0.6363

Cos-1 of 0.6363 is 50.4788

Round to the nearest degree

50.4788 = 50

sine^- 1 21/33 = θ

Answer: Approximately 0.7 or 70 degrees.

I need help pls thank you
Blah blah

Answers

Answer:

TSP RSU

Step-by-step explanation:

Hope this helps!

If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.

Answers

Answer:

sorry dont know

Step-by-step explanation:

Answer:

yessadadasdadada

Step-by-step explanation:

Which measure describes how much a sample mean varies when different samples are chosen?

A.
sample mean
B.
confidence interval
C.
standard error of the mean
D.
population mean

Answers

Answer: The answer is B

ayudaaaa por favor es urgente​

Answers

Answer:

use trig

Step-by-step explanation:

sin(15) = 100/x

x = 100/sin(15)

use calculator

given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?​

Answers

Answer: k = 16

Step-by-step explanation:

The equation is written in the form:

y = ax^2 + bx + c

y = -x^2 - 6x + 7

y = a(x - h)^2 + k where (h, k) is the vertex

a = -1 (from the original equation)

h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)

h = -(-6)/2(-1) = 6/-2 = -3

when x = -3, y = ?

y = -(-3)^2 - 6(-3) + 7

y = -(9) + 18 + 7

y = -9 + 18 + 7

y = 16

(-3, 16) is the vertex

Since k is the y-value of the vertex, k = 16

I'll just take it a step further and write the whole equation:

Substitute all the values we found

-1(x +3)^2 + 16

-(x + 3)^2 + 16

a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1​

Answers

Answer:

D. 5/1

Step-by-step explanation:

10/2 = 5

5/1 = 5

I hope this helps :)

Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?

Answers

Answer: 9.2 miles

Step-by-step explanation:

Answer: 9.2 miles

Step-by-step explanation:  hope this helps you!

Round the number 78 to the nearest tenth
61
80
16​

Answers

Answer:

The answer is 80

Step-by-step explanation:

78 is closer to 80

Answer:

the answer is 80

Step-by-step explanation:

it will be 80 because 78 is closest to 8


Ashley had a summer Lemonade Stand where she sold small cups of lemonade for $1.25 and large cups of lemonade for $2.50 if Ashley sold a total of 150 cups of lemonade for $265 how many cups of each type did she sell ​

Answers

Answer:

Step-by-step explanation:

S and L are the number of small cups and large cups, respectively.

S + L = 150

L = 150 - S

1.25S + 2.50L = 265

1.25S + 2.50(150-S) = 265

1.25S - 2.50S + 375 = 265

S = 88

L = 150-S = 62

Mr. Locke was paid $190 for a job that required 40 hours of work. At this rate, how much would he get paid for a job that requires 60 hours of work?​

Answers

285 dollars for 60 hours of work
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