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2 years ago

You travel 8 miles on your bicycle in the same amount of time it takes your friend to travel 6 miles on

Mathematics

1 answer:

strojnjashka [21]2 years ago

6 0

Answer:

Step-by-step explanation:

8/v=6/v-3

8*(v-3)=6v

8v-8*3=6v

8v-24=6v

+24 +24

8v=6v+24

-6v -6v

2v=24

v=24/2

v=12 miles /hour

v2=12-3=9 miles /hour ( your friend)

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

Create a list of steps, in order, that will solve the following equation. (x-5)^2=25(x−5) 2 =25left parenthesis, x, minus, 5, ri

Gekata [30.6K]

The value of x in the equation (x - 5)² = 25 is 10.

<h3>How to solve an equation?</h3>

(x - 5)² = 25

Take the square root of both sides

Therefore,

√(x - 5)² = √25

x - 5 = 5

add 5 to both sides

x - 5 + 5 = 5 + 5

x = 10

learn more on equation here: brainly.com/question/10506642

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1 year ago

If you earned 2,580 for one month how much would you have left after you spent $1,200 on rent, $175 on utilities, and $200 on fo

Over [174]

Answer:

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Step-by-step explanation:

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1 year ago

25/4=x/10 <br>please help thanks

Marta_Voda [28]

Answer:

125/2 or 62.5 or 62 1/2 (x=)

Step-by-step explanation:

25/4=x/10 multiply everything by 20

25*20/4=20x/10 simplify

25*5=2x simplify

125=2x divide on both sides

125/2 or 62.5 or 62 1/2=x

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3 years ago

What is the difference between a sequence and a series? What is the difference between a geometric and an arithmetic sequence?

Neporo4naja [7]

Answer/Step-by-step explanation:

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geometric: ÷

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2 years ago