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zavuch27 [327]
3 years ago
13

A circle k(O) with radius 4.5 cm is given. Through point A (OA=9 cm) draw two tangents to the circle. What is the measure of the

angle between the tangents?
Mathematics
1 answer:
nadezda [96]3 years ago
8 0

Answer:

60º

Step-by-step explanation:

Label the radii OB and OC where AB and AC are tangents. OB and OC are 4.5 cm as they are both radii. Then we can see that OBA and OCA are both right triangles with OBA=OCA=90º. OAB=OAC=30º because the side lengths fit the criteria for a 30-60-90 triangle. OAB+OAC=60º

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The perimeter of a shape is 25.71 cm calculate the value of the radius X takes pie to be 3.142
Mariulka [41]

Answer:

5 cm

Step-by-step explanation:

Given a semicircle with perimeter 25.71 cm, we are required to find the radius of the circle.

Circumference of a Semicircle

=Length of the Circular part+Length of the diameter

=\pi r+2r

If \: \pi=3.142, C=25.71\\Then:\\25.71=3.142r+2r\\r(3.142+2)=25.71\\5.142r=25.71\\r=25.71 \div5.142\\r=5cm

3 0
2 years ago
5+[30-(8-1)² ÷ 11-2²
Xelga [282]

Answer:

26.5454545455

Step-by-step explanation:

6 0
2 years ago
An airline allows each passenger to have a suitcase weighing no more than 45 lbs. If Hank needs to lower his suitcase weight by
diamong [38]
Okay, so he started out with 45 lbs. 

Let's make 40% into a decimal. 

40%= .4

I would multiply .4 to 45.
 18.

Add 18 to 45 to get the answer.

The original weight of his bag was 63 pounds. 



5 0
3 years ago
Solve the system by substitution.<br> y=6x<br> y=3x+21<br> ( , )
Dimas [21]

Answer:

(7,42)

Step-by-step explanation:

Imput the 6x for the Y:

6x=3x+21

move the variable to the left

6x-3x=21

collect like terms:

3x=21

divide both sides by 3x and youll get this for X

x=7

Imput x=7 into the equation

Y=6x7

solve:

y=42

6 0
3 years ago
Need help! Show work
Sergeu [11.5K]
The first step for each of these is adding or subtracting the coefficient to isolate your terms with variables. And then divide to isolate the variable itself.
8 0
2 years ago
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