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djyliett [7]
3 years ago
15

In a circle with a diameter of 25.2 ft, an arc is intercepted by a central angle of 168º.

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer:

36.93\ ft

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=\pi D

we have

D=25.2\ ft

substitute

C=25.2\pi\ ft

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the arc length by a central angle of 168 degrees

\frac{25.2\pi}{360}=\frac{x}{168}\\\\x=25.2\pi*168/360\\\\x=(25.2*3.14)*168/360\\\\x=36.93\ ft

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Ulleksa [173]

Answer:

The final price of money of t shirt that I own = $ 16.69

Step-by-step explanation:

Given in question as ,

The t shirt cost to the owner = $12

The markup percentage = 30%

So, now the cost price of t shirt = 30% of 12 + 12

                                                    = 3.6 + 12 = $15.6

Tax which is added now            = 7%

So, new cost of t shirt = 7% of 15.6 + 15.6

                                     = 1.092 + 15.6  =$ 16.69

Hence , the final price of money of t shirt that I own = $ 16.69   Answer

4 0
3 years ago
Location Score Factor (100 points each) Weight A B C Convenience 0.15 89 78 84 Parking facilities 0.20 75 93 98 Display area 0.1
Olin [163]

The maximum composite score from A, B, and C is B.

The computation of the composite score for each location is shown below

The composite score for A is,

= 0.15 × 89 + .20 × 75 + 0.18 × 92 + 0.27 × 92 + 0.10 × 93 + 0.10 × 90

= 88.05

<h3>What is the composite score?</h3>

The Composite score is the average of your four test scores, rounded to the nearest whole number. Fractions less than one-half are rounded down; fractions one-half or more are rounded up.

The composite score for B is

= 0.15 × 78 + .20 × 93 + 0.18 × 90 + 0.27 × 93 + 0.10 × 97 + 0.10 × 96

= 90.91

The composite score for C is

= 0.15 × 84 + .20 × 98 + 0.18 × 87 + 0.27 × 82 + 0.10 × 84 + 0.10 × 95

= 87.90

Therefore for computing the composite score for each location we simply multiply the weight by the A location and in the same manner as A, B, and C

b. The maximum composite score from A, B, and C is B.

To learn more about the composite score visit:

brainly.com/question/23458524

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2 years ago
The size of a small ant is about 0.002 meters, which can be written as 2 x 10"
Nesterboy [21]

Answer:

B

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from
EastWind [94]

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

\theta=42^{\circ}

Let Point  A (3,7)  and point B(8,8)

We have to find the work done by the force.

d==

r=\mid d\mid=\sqrt{x^2+y^2}=\sqrt{5^2+1^2}=\sqrt{26} feet

We know that Work done by the force

W=Frcos\theta

Substitute the values

W=3\times \sqrt{26}cos42=11.37 lb-ft

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6 0
3 years ago
You walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 2
eimsori [14]

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

7 0
3 years ago
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