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Murrr4er [49]
3 years ago
14

A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf

erence of the new disc?
A. 160pi m

B. 260pi m

C. 413pi m

D. 157pi m
Mathematics
1 answer:
Flauer [41]3 years ago
6 0

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

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If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=8/17and cos b=1
n200080 [17]

Recall the sum identity for cosine:

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

so that

cos(a + b) = 12/13 cos(a) - 8/17 sin(b)

Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,

cos²(a) + sin²(a) = 1   ⇒   cos(a) = √(1 - sin²(a)) = 15/17

cos²(b) + sin²(b) = 1   ⇒   sin(b) = √(1 - cos²(b)) = 5/13

Then

cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221

6 0
2 years ago
3 miles per minute is equivalent to feet per minute.
Sidana [21]

Answer: 15840 feet per minute.

Step-by-step explanation:

Convert 3 miles to feet  and let the minute stay the same.

3 miles is the same is 15840 feet.  

So it means the  3 miles is equivalent or equal to the same as  15840 feet per minute.

8 0
3 years ago
Richard receives a 3.5% commission for selling cleaning supplies. What is his commission on sales of $122,591?
konstantin123 [22]

Answer:

We have to find 3.5% $122,591

So,

122591*3.5/100=4,290.685

So, the commission will be $4,290.685

5 0
3 years ago
Read 2 more answers
Pleaseee helppppp!!!!!!!!!
Andre45 [30]

Answer:

Step-by-step explanation:

the total angle is 89  and we are also give two of the parts

89-30-44=15°

3 0
2 years ago
The angle of elevation from an observer to the bottom edge of the Delaware River drawbridge observation deck located 200 feet fr
aleksklad [387]

The height of the chimney above the floor of the observation deck is 52.4 ft

Two right angle triangle will be formed.

<h3>Right angle triangle:</h3>

Right angle triangle are triangle that has one of its angle as 90 degrees.

Therefore, using trigonometric ratio,

adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck

Therefore,

tan 40 = opposite / adjacent

Where

x = height of the observer to the top of the observation deck

tan 40 = x / 200

x = 200 tan 40

x = 167.819926235

x = 167.82 ft

tan 30 = opposite / adjacent

y = height of the observer to the bottom of the observation deck

tan 30 = y / 200

y = 200 tan 30

y = 115.470053838

y = 115.47 ft

The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck

The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft

learn more on trigonometric ratio here: brainly.com/question/23854119

5 0
2 years ago
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