Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
- shorter leg is 8inches shorter than the longer leg
- hypotenuse is 8inches longer than the longer leg
- longer leg = x inches
<u>Pythagorean Theorem:</u>
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
<u>More Painful Solving:</u>
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
We’re looking for the angles right?
Answer:
False.
Step-by-step explanation:
A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)
Answer:
The length is 14 m.
Step-by-step explanation:
length = L
width = W
perimeter = P
"The perimeter of a rectangle is twice the sum of its length and its width."
P = 2(L + W)
"The perimeter is 40 meters"
40 = 2(L + W)
"and its length is 2 meters more than twice its width."
L = 2W + 2
Replace L with 2W + 2 in equation 40 = 2(L + W):
40 = 2(2W + 2 + W)
40 = 2(3W + 2)
20 = 3W + 2
3W = 18
W = 6
The width is 6 meters.
L = 2W + 2 = 2(6 m) + 2 m = 12 m + 2 m = 14 m
Answer: The length is 14 m.
Answer:
B) 0.894
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that 
Probability that during a randomly selected hour, the organization will receive fewer than two calls.
In which
