Answer:
The roof does form a right triangle.
Step-by-step explanation:
If it is a right triangle then it will obey the Pythagoras Theorem.
Now (√186)^2 = (√93)^2 + (√93)^2
186 = 93 + 93 = 186
So it obeys the theorem and is therefore a right triangle.
Answer:
(130.08, 139.92)
Step-by-step explanation:
Given that:
Mean (m) = 135
Standard deviation (σ) = 30
Sample size (n) = 100
α = 90%
The confidence interval value is obtained using the relation:
Mean ± Zcritical * (standard deviation / sqrt(n))
Zcritical at 90% = 1.64
standard deviation / sqrt(n) = 30 / sqrt(100)
= 30 / 10 = 3
Hence,
135 ± 1.64 * (3)
Lower limit : 135 - (1.64 * 3) = 130.08
Upper limit : 135 + (1.64 * 3) = 139.92
Hence,
Confidence interval = (130.08, 139.92)
Answer:
1 hour and 30 minutes
Step-by-step explanation:
There is 1 hour between 4 and 5
30 minutes between 15 and 45
Answer:
16
Step-by-step explanation:
This problem requires PEMDAS
Parentheses ( )
Exponents ^
Multiplication
Division
Add
Subtract
Start by solving anything in parentheses. There's an exponent within the parentheses, so we change that 2^2 into 4 and also make sure to multiply 5 x 2 before subtracting.
-4 - (2 + -24 - 4 - (4-10))
-4 - (2 + -24 - 4 - (-6))
Again, solve parentheses first.
-4 - (-22 - 4 - (-6))
-4 - (-26 + 6)
-4 - (-20)
-4 + 20
Answer is 16
ANSWER
8π ft
EXPLANATION
The circumference of a circle is calculated using the formula C=πd.
Where d=8 is the diameter of the circle.
We substitute d=8 into the formula to obtain,
C=8π ft.
Because we are looking for the exact circumference, we leave the answer in terms of π.
