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Elden [556K]
4 years ago
13

If the arc on a particular circle has an arc length of 12 inches, and the circumference of the circle is 48 inches, what is the

angle measure of the arc?
Mathematics
2 answers:
KonstantinChe [14]4 years ago
5 0
12/48 = .25
--> .25×360 = 90°, or pi/2 radians
Nonamiya [84]4 years ago
3 0

Answer:

<h2>The angle measure of the arc is 90°.</h2>

Step-by-step explanation:

Givens

  • The arc length is 12 inches.
  • The circumference is 48 inches.

We can solve this poblem using the rule of three.

If 48 inches represents 360°, then 12 inches how many degrees would represents?

\theta =12in\frac{360\°}{48in}=\frac{4320}{48}  = 90\°

Therefore, the angle measure of the arc is 90°.

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3(d-8) - 5 = 9(d+2) + 1
attashe74 [19]

Answer:

d = - 8

Step-by-step explanation:

3(d-8) - 5 = 9(d+2) + 1

3d-24 - 5 = 9d+18 + 1

3d - 29 = 9d + 19

9d - 3d = -29 - 19

6d = - 48

6d / 6 = -48/6

d = -8

7 0
3 years ago
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Find the value of x in the triangle shown below.<br> =<br> २०<br> 14<br> 14<br> 50°<br> 18
Alexandra [31]

Answer:

x = 87

Step-by-step explanation:

37 + 56 = 93

triangles always equal to 180

180 - 93 = 87

5 0
2 years ago
Keith earns $40.00 in 4 hours. How much would he earn in 11 hours?
aivan3 [116]

$110.00

bc for every hour its $10

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6 0
3 years ago
An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to
iris [78.8K]

Answer: BC=14.8

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

sin\alpha =\frac{opposite}{hypotenuse}

In this case, you can identify that:

\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24

Substituting values, and solving for "x", you get:

sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416

Therefore, the length of BC rounded to nearest tenth, is:

BC=2(7.416)=14.8

6 0
3 years ago
Many universities and colleges have instituted supplemental instruction (SI) programs, in which a student facilitator meets regu
aev [14]

Answer:

Step-by-step explanation:

Let many universities and colleges have conducted supplemental instruction(SI) programs. In that a student facilitator he meets the students group regularly who are enrolled in the course to promote discussion of course material and enhance subject mastery.

Here the students in a large statistics group are classified into two groups:

1). Control group: This group will not participate in SI and

2). Treatment group: This group will participate in SI.

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b)Some students might be more motivated, and they might spend the extra time in the SI sessions and do better. Here they have done better anyway because of their motivation. There is other possibility that some students have weak background and know it and take the exam, But still do not do as well as the others. Here we cannot separate out the effect of the SI from a lot of possibilities if you allow students to choose.

The random assignment guarantees ‘Unbiased’ results - good students and bad are just as likely to get the SI or control.

c)There wouldn't be any basis for comparison otherwise.

5 0
3 years ago
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