T ∫ 1/√(1 - x²) dx = arcsin(x)
<span> ∫ 1/√(1 - x²/a) dx = √a arcsin(x/√a) </span>
<span>So pull a factor of 5 out of the square root to get </span>
<span>1/5 ∫ 1/√(1 - 16 x²/25) dx </span>
<span>= 1/4 arcsin(4 x/5)</span>
0.85 is equal to 6/7 because you divide six by seven....Hope this helped.
10 years. Bill is 25, his sister is 5, and their mother is 60.
Answer:
Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.
Step-by-step explanation:
18 ÷ 10 = 1.8 (Lisa's rate)
14 ÷ 8 = 1.75 (Marie's rate)
1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)
1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)
Answer:
Crafts books: 7
Cookbooks: 13
Step-by-step explanation:
Let x be the crafts book
Let y be the cookbooks
Solve for x:
- Plug x and y in: x + y = 20
- Re-write: y = x + 6
- Plug in x + 6 instead of y: x + x + 6 = 20
- Combine like terms: 2x + 6 = 20
- Subtract 6 from each side, so it now looks like this: 2x = 14
- Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7
Solve for y:
- Re-use an equation from above: y = x + 6
- Plug in the value of x: y = 7 + 6
- 7 + 6 = 13
- So, y = 13
I hope this helps!
