From the diagram above,
XZ = 10 in and OX = 10 in
we are to find length of OY
XZ is a chord and line OY divides the chord into equal length
Hence, ZY=YX= 5 in
Now we solve the traingle OXY
To find OY we solve using pythagoras theorem
applying values from the triangle above
![\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20OX%5E2%3DXY%5E2%2BOY%5E2%20%5C%5C%2010%5E2%3D5%5E2%2BOY%5E2%20%5C%5C%20100%3D25%2BOY%5E2%20%5C%5C%20OY%5E2%5Ctext%7B%20%3D%20100%20-25%7D%20%5C%5C%20OY%5E2%5Ctext%7B%20%3D%2075%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B75%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B25%5Ctext%7B%20%7D%5Ctimes%5Ctext%7B%203%7D%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%205%7D%5Csqrt%5B%5D%7B3%5Ctext%7B%20%7D%7Din%20%5Cend%7Bgathered%7D)
Therefore,
Length of OY =
![5\sqrt[]{3}](https://tex.z-dn.net/?f=5%5Csqrt%5B%5D%7B3%7D)
Answer:
x = 3
Step-by-step explanation:
2(4-3x) + 5(2x-3) = 20-5x
8 - 6x + 10x - 15 = 20 - 5x
-6x + 10x + 5x = 20 - 8 + 15
9x = 27
x = 3
Answer:
47.8% increase, or B since it's the closest.
Step-by-step explanation:
-6b(8b - 2) - 3b(4 + 4b) ...distribute thru the parenthesis
-48b^2 + 12b - 12b - 12b^2 =
-48b^2 - 12b^2 =
-60b^2 <==
<h3>
Answer: D) 8</h3>
Explanation:
The green, light blue, and red bars all indicate scores that are 70 or higher.
We add up the heights of those bars to find out how many people passed.
- green bar = height of 2
- light blue bar = height of 5
- red bar = height of 1
So 2+5+1 = 8 people passed.
Unfortunately 2 people (dark blue bar) got below 70 so they didn't pass.
