Answer:
m<X= 36.87 degrees
Step-by-step explanation:
Since the triangle abc and xyz are similar, hence;
m<C = m<Y
90 = x - 5
Add 5 to both sides
90+5 = x-5+5
95 = x
Swap
x = 95
m<Y = x - 5
m<Y = 95 - 5
m<Y = 90
Find m<X
Using the SOH CAH TOA
Opposite to m<X = YZ = 6
Adjacent = 8
Tan M<X = opp/adj
Tan m<X = 6/8
m<X = arctan(6/8)
m<X= 36.87 degrees
Answer:
a= 3/5
decimal form: 0.6
Step-by-step explanation:
Answer:
<h3>20</h3>
Step-by-step explanation:
Standard deviation of the mean is expressed as:
SM = s/√n
s is the standard deviation of all invoices
n is the sample size of the invoiced
Given
s = $200
n = 100
Required
Standard deviation of the mean
Substitute the given parameters into the given equation
SM = 200/√100
SM = 200/10
SM = 20
Hence the standard deviation of xbar is 20
The shaded areas add to 2/5 of the area of the circle, which is given by
A = πr²
Then the shaded area is ...
(2/5)A = (2/5)π(10 in)²
shaded area = 40π in²
