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2 years ago

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Mike is renting a boat. The rental fee is $25 for each hour. He rented a boat for 3 hours. Which is the dependent variable in th

e situation? Please help!

1 answer:

egoroff_w [7]2 years ago

7 0

225 i think not sure

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An airplane flies 2520 miles in 4 hours 30 minutes what is its average speed in miles per hour?

KATRIN_1 [288]

Answer:

560miles/hr

Step-by-step explanation:

Check attachment

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2 years ago

Y=2x y=7x + 15 substitution

sergejj [24]

$y = 2x \\ y = 7x + 15$

Substitute the given value of y into the equation y=7x+15

$2x = 7x + 15$

Move the variable to the left-hand side and change its sign

$2x - 7x = 15$

Collect like terms

$- 5x = 15$

Divide both sides of the equation by -5

$x = - 3$

Substitute the given value of x into the equation y=2x

$y = 2 \times ( - 3)$

Solve the equation for y

$y = - 6$

The possible solution of the system is the ordered pair (x,y)

$(x,y) = ( - 3, - 6)$

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2 years ago

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How many times does 40 go into 280

igor_vitrenko [27]

40 goes into 280 7 times to figure this out just simply divide 280/40

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2 years ago

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Find the area of the triangle.<br> A. 73.6ft^2<br> B. 65.8 ft^2<br> C. 69.1 ft^2<br> D. 70.8 ft^2

spayn [35]

Please look at the picture for a step by step explanation - Answer choice is A

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2 years ago

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around

ale4655 [162]

Answer:

Part 1: $\frac{2\pi}{3}$ radians

Part 2: The minute hand travels $\frac{8\pi}{3}$ inches.

Part 3: The minute hand travels $\frac{3\pi}{4}$ radians.

Part 4: The coordinate point is $(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

Step-by-step explanation:

<u>Part 1:</u>

There are 60 minutes in an hour. 1 hour is 1 revolution (1 circle), which is 360°.

So each minute represents $\frac{360}{60}=6$ degrees

From 3:35 to 3:55 is 20 minutes. Hence, 20 minutes is $6*20=120$ degrees.

<u><em>To convert from degrees to radians, we multiply the degrees by $\frac{\pi}{180}$ </em></u>

120° is equal to $120*\frac{\pi}{180}=\frac{2\pi}{3}$ radians

<u>Part 2:</u>

We want to find the "arc length" of this.

Formula for arc length is $s=r\theta$

Where,

s is the arc length
r is the radius (here the minute hand was given as 4 inches)
$\theta$ is the angle in radians (we found it to be $\frac{2\pi}{3}$ )

So, $s=r\theta\\s=(4)(\frac{2\pi }{3})=\frac{8\pi}{3}$

The minute hand travels $\frac{8\pi}{3}$ inches.

<u>Part 3:</u>

Here we use the arc length formula where we want to find $\theta$ given that $s=3\pi$ and radius is 4 inches. So we have:

$s=r\theta\\3\pi=(4)(\theta)\\\theta=\frac{3\pi}{4}$

The minute hand travels $\frac{3\pi}{4}$ radians.

<u>Part 4:</u>

The coordinate point associated with a specif radian is given by the formula:

$(x,y)=(cos(\theta)sin(\theta))\\(x,y)=(cos(\frac{3\pi}{4})sin(\frac{3\pi}{4}))\\(x,y)=(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

Thus the coordinate point is $(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})$

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2 years ago

Read 2 more answers