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nekit [7.7K]
1 year ago
11

The radius of a quarter circle is 3 what is the quarter circle's perimeter?

Mathematics
1 answer:
slava [35]1 year ago
6 0

Answer:

21.42

Step-by-step explanation:

Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42

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Suppose a triangle has 2 sides of length 3 and 4 and that the angle between these two sides is 60 degrees. what is the length of
shusha [124]

Answer:

\boxed{b.\:\:\:\sqrt{13}}

Step-by-step explanation:

Let the third side of the triangle be h\: units.


We can apply the cosine rule to find h.


h^2=3^2+4^2-2(3)(4)\cos(60\degree)

We evaluate to obtain;

\Rightarrow h^2=9+16-24(\frac{1}{2})


\Rightarrow h^2=25-12


\Rightarrow h^2=13

We take the positive square root of both sides to obtain;

\Rightarrow h=\sqrt{13}


The correct answer is B.

8 0
3 years ago
F(x) = 4x2 + 5x - 3<br> g(x) = 4x2 – 3x2 + 5<br> Find (f +g)(x).
kondaur [170]

Answer:

5x + 12

Step-by-step explanation:

simplify f(x) and g(x)

g(x) = 4*2 -3*2 +5

g(x) = 8 -6 + 5

g(x) = 7

and

f(x) = 4*2 + 5x -3

f(x) = 8 + 5x - 3

f(x) = 5x + 5

So (f + g)(x) = f(x) + g(x)

(f + g)(x) = (5x + 5) + (7)

(f + g)(x) = 5x + 12

6 0
2 years ago
Please Help! I'll give Brainliest!
Pavel [41]

Answer: BC= AC•CE/ CD

Step-by-step explanation:

Took the test :)

7 0
3 years ago
Read 2 more answers
What rule describes a dilation with a scale factor of 4 and the center of dilation at the origin?
kompoz [17]

Answer: (x,y)---->(4x,4y)

Step-by-step explanation:

 1. By definition, dilation is as a transformation in which the figure is enlarged or reduced.

2. For dilation you have:

- A scale factor, that determines how much the figure will be reduced or enlarged.

- The center of dilation, which is defined a a fixed point in the plane.

3. If the figure is dilated with a scale factor of 4 and the center of dilation at the origin, you must multiply each coordinate of the original figure by 4, then. Then, the rule is:

(x,y)---->(4x,4y)


6 0
3 years ago
Read 2 more answers
Math question down below
Montano1993 [528]
Answer is C. 0.6 (6 is repeating)

hope it helps
5 0
3 years ago
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