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Luda [366]
3 years ago
10

A circle has a radius of 12ft . find the length s of the arc intercepted by a central angle of 9° .

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0
Plug in the values into the base equation; 

l=2 \pi r(  \frac{ \alpha }{360} ) <-- alpha is the degree 

l=2 \pi (12)(9/360) 
l=1.88495 ft ≈ 1.90 ft 

Hope I helped :) 
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Type the correct answer in each box. Use numerals instead of words.
Natali5045456 [20]

Given:

Consider the given function is f(x)=-(x+1)(x-3)(x+2).

To find:

The remaining zero and y-coordinate of y-intercept.

Solution:

We have,

f(x)=-(x+1)(x-3)(x+2)

For zeros, f(x)=0.

-(x+1)(x-3)(x+2)=0

(x+1)(x-3)(x+2)=0

(x+1)=0,(x-3)=0,(x+2)=0

x=-1,x=3,x=-2

So, three zeros of given function are -1, 3 and -2.

Putting x=0 in the given function, we get

f(0)=-(0+1)(0-3)(0+2)

f(0)=-(1)(-3)(2)

f(0)=-(-6)

f(0)=6

So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).

Therefore, the zeros of the function f(x)=-(x+1)(x-3)(x+2) are –1, 3, and -2 and the y-intercept of the function is located at (0,6).

7 0
2 years ago
Jaylen and six of her younger siblings have ages that are consecutive. When they moved from San Francisco to Chicago, their ages
Otrada [13]

Answer:

Jaylen was 16 years old. She's the oldest.

Step-by-step explanation:

16  Jaylen

15  sibling 1

14  sibling 2

13  sibling 3

12 sibling 4

11  sibling 5

10  sibling 6

____________

91  Total

My thinking was that I started out dividing 91 by 7. That came out 13. So I knew the oldest one had to be older than 13.

3 0
3 years ago
Plis help me!!!!!!!!!!!!!! it is very difficult for me
AlexFokin [52]

Answer:

See below ~

Step-by-step explanation:

Kindly note the 2nd equation in the above question formed will be :

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7 0
2 years ago
Solve the following system using the substitution method.
Liono4ka [1.6K]
X = (15 - 8y)/9

-5[(15 - 8y)/9] + 12y = -107

(-75/9) + (40/9) + 12y = -107

y = -8.59

x = [15 - 8(-8.59)]/9

x = 9.3
(x,y) = (9.3, -8.59)

3 0
3 years ago
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vovangra [49]

Answer:12 hrs

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8 0
2 years ago
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