Answer:
16
Step-by-step explanation:
We can use the Pythagorean theorem to find the height
a^2 + b^2 = c^2 with a and b legs and c the hypotenuse
The triangle is a right triangle with legs GH and FG and hypotenuse FH
FG^2 + GH^2 = FH^2
FG ^2 + 12^2 = 20^2
FG^2 +144 = 400
Subtract 144 from each side
FG^2 +144-144 = 400-144
FG^2 =256
Take the square root of each side
sqrt(FG^2) =sqrt(256)
FG = 16
hello :<span>
<span>an equation of the circle Center at the
A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a = -2 and b = 1 (Center at the A(-2,1))
r = AP......P( -4 , 1)
r² = (AP)²
r² = (4+2)² +(1-1)² = 36
an equation of the circle that satisfies the stated conditions.
Center at </span></span> A(-2,1), passing through P(-4, 1) is : (x+2)² +(y-1)² = 36
Answer:
franchise fast-food restaurant located in the Northeast specializing in halfpound hamburgers, fish sandwiches, and chicken sandwiches. Soft drinks and French fries are
also available. The planning department of Bun-and-Run Inc. reports that the distribution of
daily sales for restaurants follows the normal distribution and that the population standard
deviation is $3,000. A sample of 40 showed the mean daily sales to be $20,000. Find the 95%
confidence interval for the population mean.
-9x=16-y equation 1
12x=-5-y equation 2
x=-5-y÷12 from equation 2
substitute this x in equation 2
so
-9(-5-y÷12)=16-y
15+3y=64-4y
7y=49
y=7
and then substitute this value of y in equation (x=-5-y÷12)
so x= -5-7÷12
x=-1
so y=7 and x=-1
