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2 years ago

james spent 9/10 of an hour biking and 5/6 of an hour jogging. how much did james spent in biking and jogging

Mathematics

1 answer:

aleksley [76]2 years ago

8 0

Answer:

james biked for 54 mins and jogged for 50 mins

Step-by-step explanation:

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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

2 years ago

Find the value of x and the value of y for which (x,23) and (18,y) ate the points on the graph y=0.5x+15

shutvik [7]

Answer:

x=16; y=24

Step-by-step explanation:

for (x,23), 23=0.5x+15

x=16

for (18xy), y=0.5*18+15=24

8 0

3 years ago

The bag was filled with red marbles and blue marbles in the ratio of 5:7. If there were 180 marbles in the bag,how many were red

SOVA2 [1]

You just have to multiply each number by 180 and that's how many you have of each color respectively

3 0

3 years ago

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Find the value of X <br> PLS HELP PLS

IceJOKER [234]

Answer:

x=59

Step-by-step explanation:

x+12+x+x-9=180

3x+3=180

-3 -3

3x=177/3

x=59

5 0

3 years ago

Two positive consecutive odd numbers of 143

NNADVOKAT [17]

You can't have two odd numbers equal an odd number(143).

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3 years ago

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