Answer:
Step-by-step explanation:
Given equation:
To find the angle measure of 
Solution:
In order to find the angle measure , we will isolate on left side by carrying out math operations on both sides.
We have:
Subtracting both sides by 
Subtracting both sides by 1°.
Dividing both sides by 3.
Converting fraction to mixed number by dividing and writing the quotient as whole number and the remainder as numerator.
∴ (Answer)
Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:
Thus,
The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.
Therefore when given the hypotenuse with endpoints at
We know that the third point of the right triangle will be at
and that the two side lengths will be defined by the absolute values of:
Answer:
49k
Step-by-step explanation:
Answer:
9 square kilometers
Step-by-step explanation:
Let's round the width to 2.0 kilometers, and round the length to 4.5 kilometers.
We know that area is length times width, so
A = lw
A = 2.0*4.5
<u>A = 9.0 square kilometers</u>
If we do this on the calculator, it's around 9.36 square kilometers, so our estimate was good.
Given that variance of a data set is:
Variance=σ²
the standard deviation is the square root of the variance:
thus
standard deviation= √(variance)
variance,σ²=104.04
thus
std deviation=√σ²=√104.04
thus
σ=10.2
