answer.
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
Lorico [155]
2 years ago
10

A 16.0-inch chord is drawn in a circle whose radius is 10.0 inches. what is the angular size of the minor arc of this chord? wha

t is the length of the arc, to the nearest tenth of an inch?
Mathematics
1 answer:
statuscvo [17]2 years ago
8 0
PART I
Angular size of the minor arc . 
Half of the chord an the radius makes a right angled triangle with the radius as the hypotenuse and half of the chord as one of the shorter side.
Therefore, using trigonometric ratio, sine = opp/hyp
                          sine θ = 8/10  where θ is half the minor angle
                                  θ  = 53.13
Therefore, the angular size of the minor arc will be 53.13 × 2  = 106.26°

PART II
The length of an arc is given by (θ/360 )× 2πr
where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.
Therefore, length = (106.26/360) × 3.142 × 2×10
                            = 18.548 Inches
                                   
You might be interested in
A triangle has interior angles measuring 36° and 112°. Which triangles are similar to this triangle? Select True or False for ea
morpeh [17]
Hi there!

Since the interior measures of triangles added up always equals 180 degrees, the other interior angle of the triangle must be 32 degrees. 

180 - 112 - 36 = 32

So, any triangle with interior measures that measure any angles of 36, 112, and 32 degrees are similar.

<span>triangle with interior angles measuring 36° and 32° - true
triangle with interior angles measuring 36° and 148° - false
triangle with interior angles measuring 32° and 112° - true
triangle with interior angles measuring 112° and 148 - </span>false

Hope this helps!
3 0
2 years ago
Read 2 more answers
Pete corporation produces bags of peanuts. It's fixed cost is $18,900. Each bag sells for $2.17 with a unit cost of $1.27. What
pentagon [3]

Answer:

in units: 18,900

in dollars: $ 41,013

Step-by-step explanation:

The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units }

Where:

\frac{Contribution \: Margin}{Sales \: Revenue} = Contribution \: Margin \: Ratio

<em><u>Contribution margin:</u></em>

2.17 - 1.27 = 1 dollar per unit

Break even:

$18,900 fixed cost /  $1 per unit = 18,900 units

Then, in sales:

18,900 x $2.17 each = 41.013‬

break even point:

3 0
2 years ago
Read 2 more answers
Help please. My teacher didn't give a clear explication on this topic.
dmitriy555 [2]
The answer is

C' = (0,3)



good luck
5 0
2 years ago
Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?
Misha Larkins [42]

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

5 0
1 year ago
All side lengths of ΔJKL equal 2 units. A transformation maps ΔJKL to ΔJ'K'L'. The length of side J'K' is 5 units. Is this a rig
S_A_V [24]
No because at least one segment length is not preserved.
rigid means everything stays the same, but orientation sometimes changes.
5 0
2 years ago
Read 2 more answers
Other questions:
  • Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply.
    7·2 answers
  • Fred wants to find 48+34 using compensation.He says you can take 2 from 34 and give it to 48 to make 50.What is the sum?Explain
    14·1 answer
  • What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig
    13·1 answer
  • Complete the synthetic division problem below.
    14·2 answers
  • :) Find the angles within each shape, and label each angle as "for acute, "o" for
    12·2 answers
  • Thirty-four college students were asked how much money they spent on textbooks for the current semester. Their responses are sho
    9·1 answer
  • A certain reaction is endothermic in the forward direction. The reaction has less moles of gas on the product side. Which of the
    8·1 answer
  • A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding e
    5·1 answer
  • The projected worth (in millions of dollars) of a large company is modeled by the equation w = 206(1.1) t. The variable t repres
    12·1 answer
  • Is 250% of 44 less than 100, greater than 100 but less than 150, or greater than 150
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!