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3241004551 [841]
3 years ago
13

How long is the arc intersected by a central angle of pi/3 radians in a circle with a radius of 6 ft? Round your answer to the n

earest tenth. Use 3.14 for pi
1.0 ft
5.7 ft
6.3 ft
7.0 ft
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
6 0

Answer:

c;6.3 just took the test on edge.

Step-by-step explanation:

Vinil7 [7]3 years ago
4 0

<u>Answer:</u>

6.3 ft

<u>Step-by-step explanation:</u>

We are given,

the central angle of the arc = \frac{\pi} {3} } radians; and

radius of the arc = 6ft

Therefore using these values, we can find the length of the long arc.

Length of the arc = 6 × \pi / 3

Lenth of the arc = 2\pi = 2 × 3.14 = 6.28

Therefore, the length of the arc, rounded to the nearest tenth is 6.3 ft.

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Sholpan [36]

Answer:

Step-by-step explanation: what triangle?

4 0
3 years ago
What is the value of f(-3)
Readme [11.4K]

f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12

8 0
3 years ago
How is — 6n + 5 &lt; 11 shown in a graph
anyanavicka [17]

Answer:

Option C

Step-by-step explanation:

Solve the inequality like an equation using inverse operations.

-6n+5<11

-6n+5-5<11-5

-6n<6   when you divide by -6 be sure to change the sign

n>-1

Graph it in the number by placing an open circle on -1 and marking the arrow to the right.

7 0
3 years ago
In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second
Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is (x+3).

The 3rd number is a square of the second. So, the third number is (x+3)^2.

Therefore, the first, second and third numbers are x,(x+3),(x+3)^2 respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

x+(x+3)+(x+3)^2=77

Therefore, the required equation is x+(x+3)+(x+3)^2=77.

d. On simplification, we get

x+x+3+x^2+6x+9=77                   [\because (a+b)^2=a^2+2ab+b^2]

x^2+(6x+x+x)+(3+9)=77

x^2+8x+12=77

Subtract 77 from both sides.

x^2+8x+12-77=77-77

x^2+8x-65=0

Therefore, the simplified form of the required equation is x^2+8x-65=0.

6 0
3 years ago
I am stuck on how to do 10 percent of $55.86
faust18 [17]

Answer:

read step by step

Step-by-step explanation:

.10×55.86 = 5.58

then subtract $5.58 from your total .

and that will give you the answer

8 0
3 years ago
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