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Ivanshal [37]
3 years ago
6

HELP PLEASE ASAP!!! Khan Academy unit test! 20 points for Brainliest!

Mathematics
1 answer:
ira [324]3 years ago
8 0

Answer: Area\ sector=7.48\ units^2

Step-by-step explanation:

For this exercise you need to use the following formula for calculate the area of the sector of a  circle:

Area\ sector=\frac{1}{2}r^2\theta

Where r is the radius of the circle and \theta is the central angle measured in radians.

In this case, you can identify that:

r=3\ units\\\\\theta=\frac{9}{17}\pi

Then, you must substitute theses values into the formula and then you must evaluate, in order to calculate the area of the sector of the circle.

This is:

Area\ sector=(\frac{1}{2})(3\ units)^2(\frac{9}{17}\pi)\\\\Area\ sector=7.48\ units^2

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mote1985 [20]
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5 0
2 years ago
If a jogger runs 2 miles and burns 185 calories, how many calories would he burn if he jogged 3 miles?
aliina [53]

The total amount of calories burnt in jogging 2 miles = 185 calories

We have to determine the number of calories burned in jogging 3 miles.

Firstly, we will determine the amount of calories burnt in jogging 1 mile. We will use unitary method to evaluate this.

So, the total amount of calories burnt in jogging 1 mile = 185 \div 2

= 92.5 calories

So, the amount of calories burnt in 3 miles = 3 \times 92.5

= 277.5 calories

Therefore, 277.5 calories are burned in jogging 3 miles.

6 0
4 years ago
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inn [45]
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6 0
3 years ago
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What is the directrix of the parabola defined by 1/4(y+3)=(x-2)^2
Charra [1.4K]
This is a parabola which opens upwards and the directrix will be of the form  
y = k

the general form is 

4p(y - k) = (x - h)^2   we have:-

1/4(y + 3) = (x - 2)^2

so the vertex is at (2, -3)

4p = 1/4  so p =  1/16

so the focus will be at (2 , -2 15/16)

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4 years ago
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Answer:

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