<u>Answer
</u>
4
<u>Explanation
</u>
AP is a tangent meeting a secant BP at P outside the circle.
(PA)² = (PE)(PB)
PA = 6 and chord BE= 5.
Let PE = x
6² = x(x+5)
36 = x² + 5x
x² + 5x + 2.5² = 36 + 2.5²
(x + 2.5)² = 42.25
(x + 2.5) = √ 42.25 = 6.5
x = 6.5 - 2.5 = 4 or x = -6.5 - 2.5 = -9
But since length cannot be negative, x = 4.
Answer:
x2 − 16 is the difference of two squares
Step-by-step explanation:
x2 − 16 is the difference of two squares, given that 16 can be represented as a square in the form 4^2.
Then, x2 − 16 = x2 − 4^2.
Answer:
45 members are in the choir.
Step-by-step explanation:
Set up an equation:
Variable x = boys
3/6 = x/30
Cross multiply:
3 × 30 = 6 × x
90 = 6x
Divide both sides by 6:
15 = x
There are 15 boys.
To find the number of members in the choir, add the number of boys and girls:
30 + 15 = 45
Answer:
Step-by-step explanation:
2nd one
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches