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Sliva [168]
4 years ago
13

The length of a rectangle is 3 times the width. If the length is decreased by 4 meters and the width is increased by 1 meter, th

e perimeter will be 66 meters. Find the dimensions if the original rectangle.
Mathematics
1 answer:
olga nikolaevna [1]4 years ago
6 0

Good morning☕️

______

Answer:

w is the width

L is the length

p is the perimeter

w=9

L=27

___________________

Step-by-step explanation:

p=2[(L-4) + (w+1)]

⇔p=2[(3w-4) + (w+1)]

⇔p=2[4w-3]

⇔p=8w-6

⇔66=8w-6

⇔8w=72

⇔w=9

Then L=3w=27

:)

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If a soccer team won 7 of its 13 games, what was their ratio of wins to losses? Assume that there were no tie games.
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Answer:

Answer : A. 7 to 6

A soccer team won 7 of its 13 game

Total games played by soccer team = 13

Games won by the team = 7

Games lost = total games played - games won

So games lost = 13 - 7 = 6

Now we find the ratio of win to losses

game won = 7

games lost = 6

So the ratio of won to losses is 7 to 6

Step-by-step explanation:

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3 years ago
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150/250=?/100 I don't know the answer
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Answer:

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Step-by-step explanation:

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7 0
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A rock is thrown upwards from the edge of a 52 foot cliff and eventually falls to the ground. The graph
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7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5) <br>​
serious [3.7K]

Answer:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

--------------------------------------

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

by jannat <33

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