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3 years ago

6

On a road trip you see a sign “350 km to Indianapolis”. About how many hours will it take you to drive to Indianapolis if you ar

e traveling at 72 mi/h (1 mile\approx≈1.61 km). Round your answer to the nearest hundredth.

1 answer:

deff fn [24]3 years ago

8 0

Answer:

3.019 hours.

Step-by-step explanation:

In this case they ask us to calculate the time in hours that are in those distances, for this we have the speed and the distance, we know that speed is equal to:

v = d / t

therefore the time would be:

t = d / t

we must pass the distance that is in kilometers to miles, like this:

350 km * 1 mile / 1.61 km = 217.4 mi

Now if replacing:

t = 217.4 / 72 = 3.019

Therefore, the time would be 3.019 hours.

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A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in

lara [203]

The answer is C), 834, 834.19, 834.2, 834.29

I know this is late, but I hope it was helpful!

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3 years ago

The sum of two numbers is -10.5.

grandymaker [24]

Answer:

-5 and -5.5;

-12.5 and 2

Step-by-step explanation:

Two negative addends, can be added together to give -10.5.

For example:

(-5) + (-5.5) = -5 - 5.5 = -10.5

Also, it is possible for one of the addends to be negative while the other is positive, and their sum will give us -10.5.

For example:

The sum of -12.5 and 2 will give us -10.5.

We are adding a positive and a negative number here. As usual, we will subtract the smaller number from the bigger number, while the result will carry the sign of the bigger number, which in this case is negative sign.

Thus:

(-12.5) + (2) = -10.5

4 0

3 years ago

A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel

Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

$x_{Sh} = x_{o} + v_{Sh}\cdot t$

Submarine

$x_{Su} = x_{o}+v_{Su}\cdot t$

Where:

$x_{o}$ - Position of Diego Garcia island, measured in miles.

$x_{Sh}$ , $x_{Su}$ - Current positions of ship and submarine, measured in miles.

$v_{Sh}$ , $v_{Su}$ - Velocities of ship and submarine, measured in miles per hour.

$t$ - TIme, measured in hours.

If we know that $x_{Sh} - x_{Su} = 241\,mi$ , $v_{Sh} = 19\,\frac{mi}{h}$ and $t = 7\,h$ , then:

$x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t$

We clear now the velocity of submarine:

$\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}$

$v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}$

$v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}$

$v_{Su} = -15.429\,\frac{mi}{h}$

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0

3 years ago

Find Measure of angle 1<br><br> Options: 60<br> 50<br> 40<br> 30

Fofino [41]

Answer:

Its equal so its 40

Step-by-step explanation:

prove me wrong

8 0

3 years ago

??????????????????????

ale4655 [162]

Answer:

$Area = 58 \ units^2$

Step-by-step explanation:

We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

$a^2+b^2=c^2$

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:

$3^2+7^2=c^2$

$9+49=c^2$

$c^2=58$

$c=\sqrt{58}$

Since the area of a square is the side length square then...

$Area =( \sqrt{58} )^2$

The square root and the squared cancel out giving us...

$Area = 58 \ units^2$

3 0

3 years ago