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Alexus [3.1K]
3 years ago
13

How to find the measure of yz

Mathematics
1 answer:
stira [4]3 years ago
4 0
Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)

YZ/sin30=50/sin90

YZ=50sin30   (sin90=1 :P)

YZ=25m

Use the 30,60,90° triangle ratios 1, √3, 2

YZ/1=50/2

YZ=25m

Using the Pythagorean Theorem....

(2*25)^2=YZ^2+(√3*YZ)^2

2500=YZ^2+3YZ^2

2500=4YZ^2

625=YZ^2

25m=YZ
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Is the given point interior, exterior, or on the circle (x 2)2 (y - 3)2 = 81? p(8, 4) click on the graphic to choose the correct
Nina [5.8K]

From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2  and d^2=r^2=81 so

81=10^2+1^2

81=101  which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.  

Thus the point lies outside or on the exterior of the circle...

To learn about circle from the given link

brainly.com/question/2166803

#SPJ4

5 0
1 year ago
What is 100 + 100 <br>thanks!!!
Verdich [7]
100+100 is equal to 200.
8 0
3 years ago
Read 2 more answers
The positive acute angle formed by the _____ side of an angle in standard position and the x-axis is called a reference angle.
Helga [31]

Answer:

option-C

terminal

Step-by-step explanation:

We know that

reference angle is between terminal side and x-axis

so, the other side will be terminal position

so, we can write as

The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.

So,

option-C

terminal

7 0
3 years ago
103. Please help me!10 points! Thanks.
Inessa05 [86]
The formula for the surface area of a sphere is 4πr^2

This can be used in the following way, getting the diameter at 18.3:
18.3/2 = 9.15
Saying PI is 3.14 you can do this:

SA = 4*3.14*9.15^2 = 1051.6 m^2

Formula for volume is:
(4/3)πr^3

V = (4/3)*3.14*9.15^3 = 3207.2 m^3
8 0
3 years ago
Which set of side lengths form a right triangle?
vova2212 [387]

Answer:

 Answer is 7cm,8cm,10cm

Step-by-step explanation:

A^2+B^2=C^2

6 0
3 years ago
Read 2 more answers
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