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3 years ago

How long will it take a car to travel a distance of 180 miles at a constant rate of 60 miles per hour?

Mathematics

2 answers:

Savatey [412]3 years ago

3 0

It will take 3 hours

Andre45 [30]3 years ago

3 0

Speed= Distance divided by time

You have speed and distance so you change it to

Time= Distance divided by speed

180 divided by 60=3

So 3 hours

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Approximate the value of the square root of 110 to the nearest hundredth

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Answer:

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Step-by-step explanation:

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3 years ago

Hector had y dollars in his savings account. He made a deposit of twenty-dollar bills and dollar coins. He had four times as man

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Answer:

Y= $240

Step-by-step explanation:

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3 years ago

he height of a cone-shaped container is 70 centimeters and its radius is 15 centimeters. Cathy fills the container completely wi

Rus_ich [418]

Let's restate the given:

Height of cone = 70 cm
Radius = 15 cm

Now, first, let's find the volume of the cone through the formula V = πr²h/3
Substitute all data and you will get 16493.36 cubic centimeters.

Now, to get how many days the container will be complete empty, you simply divide the volume of the cone by 500 cubic centimeters.

Days = 16493.36 cu cm/ 500 cu cm
Days = 32.99 or 33 days.

Thus, the answer you're looking for is 33 days.

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3 years ago

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Red ribbons are wrapped around all the columns of a building. Each ribbon does not overlap itself. Each column has a radius of 3

Roman55 [17]

Hello!

If this long ribbon measures 144 $\pi$ feet, you can see, it was only multiplied by one number, which has the be the diameter of a column to get our circumference. If we divide this by our diameter 6 (diameter is double the radius, 3), we get our answer below.

144/6=24

Therefore, our answer is C) 24.

I hope this helps!

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3 years ago

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you drop a ball from a height of 98 feet. at the same time, your friend throws a ball upward. the polynomials represent the heig

Ostrovityanka [42]

a) $h_0 -u_y t$

b) See interpretation below

Step-by-step explanation:

The motion of both balls is a free-fall motion: it means that the ball is acted upon the force of gravity only.

Therefore, this means that the motion of the ball is a uniformly accelerated motion, with constant acceleration equal to the acceleration of gravity:

$g=32 ft/s^2$

in the downward direction.

For the ball dropped from the initial height of $h_0 = 98 ft$ , the height at time t is given by

$h(t) = h_0 -\frac{1}{2}gt^2$ (1)

The ball which is thrown upward from the ground instead is fired with an initial vertical velocity $u_y$ , and its starting height is zero, so its position at time t is given by

$h'(t)=u_y t - \frac{1}{2}gt^2$ (2)

Therefore, the polynomial that represents the distance between the two balls is:

$h(t)-h'(t)=h_0 - \frac{1}{2}gt^2 - (u_y t - \frac{1}{2}gt^2) = h_0 -u_y t$

Now we interpret this polynomial, which is:

$\Delta h(t) = h_0 -u_y t$

which represents the distance between the two balls at time t.

The interpretation of the two terms is the following:

- The constant term, $h_0$ , is the initial distance between the two balls, at time t=0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this problem, $h_0 = 98 ft$

- The coefficient of the linear term, $u_y$ , is the initial velocity of the second ball; this terms tells us that the distance between the two balls decreases every second by $u_y$ feet.

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3 years ago