Answer:
144 is the second power of 12
Step-by-step explanation:
Here, we want to get the power of 12 that 144 is
Mathematically;
144 = 12^2
What this mean is that we have to raise 12 to 2 to get 144
Thus, our answer is that 144 is the 2nd power of 12
Similarities found
each triangle must be a right triangle
the diameter of each circle must be the hypotenus of each triangle
there is a right angle (90°) for each triangle
Question 1. Midpoint
Answer: M(-2,4)
Explanation:
1) The coordinates of the midpoint, M (x,y) between two points (x₁,y₁) and (x₂, y₂) are:
x = (x₁ + x₂) / 2 and y = (y₁ + y₂) / 2
2) Replacing the coordinates of the given points P (-4, 1) and Q (0,7) you get:
x = (- 4 + 0) / 2 = - 2, and
y = (1 + 7) / 2 = 4
So, the answer is M (-2,4)
Question 2: The distance between the two midpoints is:
Answer: 7.21
Explanation:
1) Use the formula of distance, which is an application of Pythagora's theorem:
d² = (x₂ - x₁)² + (y₂ - y₁)²
2) Substitute values:
d² = (0 - (-4))² + (7 - 1)² = 4² + 6² = 16 + 36 = 52 ⇒ d = √52 ≈ 7.21
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish the problem as the following:
= 78.32 / 0.22
First, we will make the deniminator a whole number. In order to accomplish this, we will multiply both the numerator and denominator in the fraction by 100.
= ( 78.32 × 100 ) / ( 0.22 × 100 )
= 7832 / 22
Next we will divide both the numerator and denominator by the highest common factor ( HCF ) of the two numbers in order to simplify the fraction fully.
The highest common factor of 7832 and 22 is 22.
HCF = 22
This means that we will divide both the numerstor and denominator of the fraction by 22.
= ( 7832 ÷ 22 ) / ( 22 ÷ 22 )
= 356 / 1
= 356
FINAL ANSWER:
Therefore, the answer is: 356.
Hope this helps! :)
Have a lovely day! <3
12 * 3 = 36
Therefore your answer should be 36 miles.