Answer:
The length of LM,hypotenuse is 55.866ft
Step-by-step explanation:
Given that LN=39ft and MN=40ft so you can solve it using Pythogoras' Theorem:
side²+side² = hypo²
LN² + MN² = LM²
hypo² = 39²+40²
= 3121
LM = √3121
= 55.866ft (3d.p)
Answer:
8'2
Step-by-step explanation:
Answer:
- Part A: The price of fuel A is decreasing by 12% per month.
- Part B: Fuel A recorded a greater percentage change in price over the previous month.
Explanation:
<u>Part A:</u>
The function
calculates the price of fuel A each month by multiplying the price of the month before by 0.88.
Month price, f(x)
1 2.27 (0.88) = 1.9976 ≈ 2.00
2 2.27(0.88)² = 1.59808 ≈ 1.60
3 2.27(0.88)³ = 1.46063 ≈ 1.46
Then, the price of fuel A is decreasing.
The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.
<u>Part B.</u>
<u>Table:</u>
m price, g(m)
1 3.44
2 3.30
3 3.17
4 3.04
To find if the function decreases with a constant ration divide each pair con consecutive prices:
- ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96
- ratio = 3.17 / 3.30 = 0.960 ≈ 0.96
- ratio = 3.04 / 3.17 = 0.959 ≈ 0.96
Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.
Hence, the fuel A recorded a greater percentage change in price over the previous month.
The answer is A, 1. In the statement x^2 >x, if we try 4, 5 and 8 for x, we get 16, 25 and 64 for x^2. The statement is true. But if we try x = 1, when we square it we still have 1. Therefore for x=1, x^2>x is false.
Quick Answer: 36 + 10h
Long explanation below
Alright, as we can see in the question, it's asking you to use the commutative property (of addition, 'cause that's the operation being used).
We know that this property states that you can move terms around in an addition problem and still get the same result.
So since there are only two terms in the expression given, you can just switch the terms around, giving you..
36 + 10h.