Answer:
x = ± 4
Step-by-step explanation:
Given
x² = 96 ( take the square root of both sides )
x = ±
= ±
=
×
= ± 4
Answer:
The area of the sector is 
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of
subtends a central angle of 
so
by proportion
Let
x----> the area of the sector

Answer:
-8,0
Step-by-step explanation:
From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.
For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:





Answer:
<h2>40% of the tickets were discount ticket</h2>
Step-by-step explanation:
10/25 are discount tickets
x by 4 to make the denominator 100
40/100
make into percentage
40%