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Paladinen [302]
2 years ago
12

A man bikes at a rate that is 6 miles/hour faster than the rate at which he jogs. After 30 minutes jogging and 90 minutes biking

, the man has covered 21 miles. Over what distance was the man jogging?
Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
5 0

Answer:

30

Step-by-step explanation:

i hope this helped and i am pretty sure this is correct!

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2x+3=x+15x+6−5<br>Solve​
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Answer:

x = 1/7

Step-by-step explanation:

2x + 3 = x + 15x + 6 − 5

<em>Combine like terms and solve:</em>

2x + 3 = 16x + 1

-14x + 3 = 1

-14x = -2

x = 1/7

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3 years ago
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.
rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}

Thus, the area of the surface is as follows:

\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA

= \iint_D \sqrt{x^2 +y^2 +1 } \ dA

= \int^{2 \pi}_{0} \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr \ d \theta

=2 \pi \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr

= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0

= 2 \pi \times \dfrac{1}{3}  \Bigg [ (37)^{3/2} - 1 \Bigg]

= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]

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2 years ago
I wil vote barinliest!! Plzz hurry as fast as possible...
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Answer:

-1 , -0.5

Step-by-step explanation:

Edg

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A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson he
attashe74 [19]

Answer:

5.18%

Step-by-step explanation:

5.76 x 100 = 576

576 ÷ 100 = 5.184

5.184 = 5.18%

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