Answer:327e823
Step-by-step explanation:
There are two (equivalent) formulas for the circumference of a circle:
C = 2 pi r, where r is the radius of the circle
C = pi d, where d is the diameter of the circle
In this particular problem, however, we're dealing with arc length. For the shown central angle "theta" = 160 degrees, the arc length is 42 cm.
Knowing this enables us to calculate the radius or diameter of the circle.
Arc length = s = (radius) (central angle, in radians, not degrees)
First, convert 160 degrees to radians: 160 deg pi rad
----------- * ------------ = (8/9) pi rad
1 180 deg
Then 42 cm = r *(8/9) pi rad
Solve for the radius (r): divide 42 cm by (8/9) pi rad
Then use the formula for circumference introduced earlier:
C= 2 pi r Substitute [42 cm / ( (8/9) pi rad )] for r.
Simplify your result, and you will then have the circumference, C, in cm.
Answer:2.19 monthd
Step-by-step explanation:
Cris borrowed money from her brother 6 months ago. She now owes him 56.50
Let x= original money borrowed from her brother 6 months ago
She has not borrowed and she is paying 15.75 on her debt each month for the last 6 months. This means in the past 6 months,she has paid 15.75×6= 94.5
She now owes him 56.50. This means original money,x-56.50 =94.5
x = 94.5+56.50=151
If she now increases her monthly payment to 25.75, let the number of months be y, she will pay 25.75y in y months
25.75y =56.50
y =2.19 months
Answer:
Step-by-step explanation:
The third side could have dimension x
32 - 27 < x < 32 + 27
5 < x < 59
There are a few special triangles
Equilateral triangle could have legs
27, 32, <u>27</u>
or
32, 27,<u> 32</u>
A right triangle could have the third side
√(27² + 32²) = <u>√1753</u> which is about<u> 41.87</u>
or
√(32² - 27²) = <u>√295</u> which is about <u>17.18</u>
Notice all these fit within the original limits specified.
