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Aleks04 [339]
3 years ago
8

Given a circle with a radius of 2, which is the length of an arc measuring 75 degrees?

Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0
\bf \textit{arc's length}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
---------\\
r=2\\
\theta=75
\end{cases}\implies s=\cfrac{2\cdot 75\cdot \pi }{180}
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ehidna [41]
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3 years ago
Please help, will give extra points​
adelina 88 [10]

Answer:x=31

angle AOC = 124

angle BOC = 56

Step-by-step explanation:

We first need to solve for x to solve the rest. We would normally solve for x by setting 2 equations equal to each other, in this case however, we know that the two angles are adjacent and in total add up to 180. Therefore we combine like terms of both angles, and set them equal to 180.

So, we do

3x+31+2x-6=180      We will combine like terms

5x+25=180      Now we will do inverse operations

5x=155

x=31

We plug x into angle AOC to solve for it

3(31)+31= 124

180-124=56 or angle BOC because the whole angle is 180, and if we subtract 124 from 180 we get the remainder which is angle BOC

Or if you want,

2(31)-6=56

5 0
3 years ago
Read 2 more answers
it takes trevon ten hours to clean an attic. cody can clean the same attoc in seven hours.find how long it would take them if th
Lesechka [4]
(17/70)x = 70/70(17x)/70 = 70/7017x = 70x = 70/17x ≈ 4.1176
8 0
2 years ago
1. Add the following integers
I am Lyosha [343]
A) -18
B) 129
C) 40
D) -9
E) -8
7 0
2 years ago
HELP PLEASE!
Doss [256]
D.
first, eliminate B and C, because the highest degree in these two equation is 3, a 3-degree equation has 3 roots, not 4. 

between A and D, A has the roots 0, 0, 7, and -7, all real roots.

D can be factored into (x²-49)(x²+1)=0
x²=49 or x²=-1
x=7 or -7, x=i or -i    two real roots, two unreal roots 

for the second equation: 
first, find the first term by using the formula:
the nth term=the first term + (n-1)*difference
you are given the 13th term and d=3.7
a13=a1+(13-1)d
1.9=a1+12*3.7
a1=-42.5

the sum of the first 13 terms is S=(a1+a13)*(13/2)=(-42.5+1.9)*6.5=-263.9
3 0
2 years ago
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