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vekshin1
3 years ago
12

How far will the weight at the end of the cord move when the drum rotates 60° counterclockwise?

Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

5.2 ft.

Step-by-step explanation:

First you want to find the circumference of the circle. Given the radius 5ft you can then multiply it by 2 to get the diameter to make the equation for circumference much easier. 2*5=10. the diameter is 10ft.

Next the formula for circumference with diameter is π(d). Our diameter is 10 so plug it in and you get π(10) which equals about 31.4.

With the 60 degree you have to know that a circle is a full 360 degrees. 60 is 1/6 of 360 in meaning the distance the weight at the end of the cord will move  is 1/6 of the circumference of this circle. Therefore you need to do 1/6*31.4 which equals about 5.2.

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6.<br> A. y=-13x1<br> or B. y = 1-3xl
IrinaVladis [17]

Answer: B

Step-by-step explanation

6 0
3 years ago
If b/a=c/b=d/c=2/3, find the value of a:b:c:d
leva [86]

Answer:

the ratio would be 6.75:4.5:3:2

Step-by-step explanation:

replace d and c with

d=2 and c=3

Then using proportion multiplication, you will find that b is 4.5

now replace all b with 4.5.

Then again using proportion multiplication, you will get a is 6.75.

Plug in a, b, c, d in the ratio and you get 6.75:4.5:3:2

5 0
2 years ago
Calculate the partial sum S for the sequence 243,81,27,....
Llana [10]

Answer:363


Step-by-step explanation:

We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)

The sequence actually is 3^5,3^4.,3^3.....

Therefore first 5 terms are 1) 3^5 I.e. 243

2) 3^4 I.e. 81

3) 3^3 I.e. 27

4)) 3^2 I.e. 9

5) 3^1 I.e. 3

Adding all those no. we get partial sum of first 5 no. of the sequence

So, 243 + 81 + 27 + 9 + 3

= 363

Hope it helps!!!

4 0
3 years ago
Read 2 more answers
A painting is on sale at 50% off. The sale price is $320. What was the original price? I understand that you can do 320 x 2, how
zhannawk [14.2K]

Answer:

(320 ÷ 50) × 100

Step-by-step explanation:

if you divide 320 by 50, you get what a single percent of the original price would be. So to get the original price, you just need 100 of the singular percentages, which you can get by taking a singular percentage (320 ÷ 50) and multipoint it by 100

4 0
3 years ago
50 POINTS + BRAINLIEST TO CORRECT ANSWER!! TRIG/GEO
WINSTONCH [101]

Option C:

We can find the value of PR using law of cosines.

Solution:

Given data:

∠Q = 18°, r = 9.5, p = 6.0

To find which length could be find in the triangle:

Law of cosines:

a^{2}=b^{2}+c^{2}-2 b c \cos A

Substitute a = q, b = r, c = p and A = Q

q^{2}=r^{2}+p^{2}-2 r p \cos Q

If we substitute the values given, we can find q.

q = PR

PR^{2}=r^{2}+p^{2}-2 r p \cos Q

Hence we can find the value of PR using law of cosines.

Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
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