1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sonbull [250]
3 years ago
10

A circle has a circumference of \blue{6}6start color #6495ed, 6, end color #6495ed. It has an arc of length \dfrac{17}{3}

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

The central angle of the arc is 340°

Step-by-step explanation:

The formula for calculating the area of an arc = theta/360° × 2πr

Note that circumference of the circle = 2πr

The area of an arc = theta/360° × circumference of the circle

Given length of the arc = 17/3

Circumference of the circle = 2πr = 6

On substitution;

17/3 = theta/360 × 6

17/3 = theta/60

Cross multiplying;

3theta = 17×60

theta = 17×60/3

theta = 17×20

theta = 340°

You might be interested in
Francine just created a music video and uploaded it to YouTube. She is keeping track of the number of hits (visits) to her video
dsp73
The base, 1.74, represents 100% of the original number of hits plus the percent increase, 0.74=74%, daily.
8 0
3 years ago
Read 2 more answers
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 20
Vlada [557]

Answer:

4 units

Step-by-step explanation:

Create an equation where w is the width of the rectangle

Use the area formula, A = lw.

Since the length is the sum of the width and 1, it can be represented by w + 1

Plug in this and the area into the formula, and solve for w

A = lw

20 = (w + 1)(w)

20 = w² + w

w² + w - 20

(w + 5)(w - 4)

Solve for w:

w + 5 = 0

w = -5

w - 4 = 0

w = 4

Since the width cannot be negative, the answer must be 4.

So, the width of the rectangle is 4 units.

5 0
2 years ago
Read 2 more answers
How to do this???? Pls
satela [25.4K]

Answer:

a: 7

b:80

c: x-1^2-9=y

8 0
2 years ago
Ball-Bearings, Inc. produces ball bearings on a Kronar BBX machine. For one specific ball bearing produced, the mean diameter is
worty [1.4K]

Answer:

3.59% of the ball bearings will have diameters of 20.27 mm or more.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20, \sigma = 0.15

What percent of the ball bearings will have diameters of 20.27 mm or more?

This is 1 subtracted by the pvalue of Z when X = 20.27. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{20.27 - 20}{0.15}

Z = 1.8

Z = 1.8 has a pvalue of 0.9641.

1-0.9641 = 0.0359

3.59% of the ball bearings will have diameters of 20.27 mm or more.

3 0
3 years ago
Trey will be splitting 2 3/4 pies with himself and 5 friends. how much pie will each person get?
AveGali [126]
11/20 of the pie each person
hope this helps!
7 0
2 years ago
Read 2 more answers
Other questions:
  • Anna said that the product of 7/8x 1/2=7/2
    5·2 answers
  • How to find surface area​
    11·2 answers
  • Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form of q(x)+r(x)/b(x)
    11·1 answer
  • What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
    6·1 answer
  • Fill in the table of values for y=2-x<br> X/ -3 0 5<br> Y
    11·1 answer
  • Find the value of x in the figure.
    8·1 answer
  • (-6, 9), (7,-9)<br> i need to find the slope
    11·1 answer
  • Simplify the expression 5 + (15 + x).<br> A. 5x + 20<br> B. x + 20<br> C. x + 5<br> D. x+ 15
    13·2 answers
  • Write down the integer values satisfied by this diagram.
    15·1 answer
  • Find surface area of a rectangular prism 3 ft 2 ft 6 ft​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!