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3 years ago

What does x equal 22x-36+40=180

Mathematics

1 answer:

sdas [7]3 years ago

6 0

Answer:

x=8

Step-by-step explanation:

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You multiply 3/4 by 2/3 it equals 2/4 which equals 1/2. The answer is 1/2.

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

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3 years ago

Jessica must plant 351 trees. In the past 6 days Jessica planted 234 trees. If she continues at this rate how many more days wil

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234 trees in 6 days so you divide 234 by 6 (39) so she plants 39 each day. Now you divide 351 by 39 (9) so at that rate it'll take 9 days in total and 6 days have already passed. So, 3 more days.

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Answer:

There is 18% left of the pie.

Step-by-step explanation:

There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18

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