Answer:
0.082 = 8.2× 10^-2
Step-by-step explanation:
Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).
To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.
0.082 = 8.2× 10^-2
This gives the required answer.
Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
Answer:
Part a) The area of the swimming pool is 
Part b) The total area of the swimming pool and the playground is 
Step-by-step explanation:
Part a) Find the area of the swimming pool
we know that
The area of the swimming pool is

where
L is the length side
W is the width side
we have

substitute the values


therefore
The area of the swimming pool is 
Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground
we know that
To obtain the area of the playground multiply the area of the swimming pool by one and a half

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground
so

therefore
The total area of the swimming pool and the playground is 
Answer:
She should have multiplied by 4, not divided
Step-by-step explanation:
Given
- 11 = 13 ( add 11 to both sides ) ← correct
= 24 ( multiply both sides by 4 to clear the fraction )
H = 4 × 24 = 96
H is divided by 4, thus the inverse operation is to multiply
Answer:
I believe it's 12
Step-by-step explanation:
I am so sorry if it's incorrect-