Answer:
69 miles per hour
Step-by-step explanation:
car travels 23 miles in 20 min
So 20 min=20/60hour
=1/3. hour
Speed of the car=23÷1/3
=69 miles/hour
So the final answer is 69miles/hour
<em>x</em> ^2 + <em>y</em> ^2 = 9 => <em>y</em> = <em>y(x)</em> = ± √(9 - <em>x</em> ^2)
Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by <em>y(x)</em>, which is
√(9 - <em>x</em> ^2) - (- √(9 - <em>x</em> ^2)) = 2 √(9 - <em>x</em> ^2)
The area of each square section is the square of this length,
(2 √(9 - <em>x</em> ^2)) = 4 (9 - <em>x</em> ^2) = 36 - 4<em>x</em> ^2
We get the whole solid for -3 ≤ <em>x</em> ≤ 3, so integrating gives a volume of
1) C 392 in2
2) 125cm³
3) D 64 in3
To answer this question we need to use subtraction.
we need to make the denominators the same.
In order to make them the same we need to find the least common multiple, of 8 and 5.
The least common multiple(the smallest shared value of the two numbers) is 40.
Next we divide our old denominator 5 by 40, which gives us 8, we multiply 8 by the numerator 2, which gives us 16. So now we have 16/20. We have to do the same to the other side. 8÷40 = 5. 5 x 3 = 15. Now we have 15/20.
Now we have a brand new equation, 16/40 - 15/40. The answer is 1/40.
In a fraction the answer is 1/40, so Karen rides her bike further.
In decimal form the answer is 0.025.
I hope this helps!
Answer:
step 1. x = 2y - 4 on the 1st equation
step 2. 5(2y- 4) - 6y +18 = 0 plug x from 1st equation into the 2nd equation
step 3. 10y - 20 - 6y + 18 = 0
step 4. 4y - 2 = 0
step 5. y = 1/2
step 6. x = -3 plug y into 1st equation
step 7. (-3, 1/2) is the answer.
