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elixir [45]
3 years ago
7

The wheels on your car are spinning at 625 revolutions per minute. The car travels 88 feet every time the wheels spin around 11

revolution.
How many miles per hour are you traveling? Round to the nearest integer.

_____________ miles per hour
Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

First, convert 625 revolutions per minute to revolutions per hour: 625*60=37500 revolutions per hour

Next you can simplify 88 feet for 11 revolutions to 8 feet per revolution.

To find how many feet per hour you are travelling, multiply 37500 by 8 ft., which results in 300000 feet per hour.

Then you have to convert 300000 ft. per hour to mph. There are 5280 feet in a mile, so divide 300000 by 5280 to get approx. 57 mph.

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alternate interior angles

Step-by-step explanation:

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3 years ago
Why is the product of 9s diagonal?
Nadusha1986 [10]

Answer:

A. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

6 0
3 years ago
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
gogolik [260]

Answer:

<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

v_f=v_o-g.t

Where g is the acceleration of gravity g=9.8 m/s^2.

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

\displaystyle t=\frac{v_o-v_f}{g}

Substituting:

\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

8 0
3 years ago
Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Ksivusya [100]

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = \sqrt{16} = 4

4 0
3 years ago
One rectangle has a base of 12 inches and an altitude of 6 inches. The other has a base of 10 inches and an altitude of 5 inches
guajiro [1.7K]

Ratio of their bases = $\frac{12}{10}

Ratio of their altitudes = $\frac{6}{5}

<u>Step-by-step explanation:</u>

For first rectangle, it was given that

Base 1 = 12 inches

Altitude 1 = 6 inches

For the second rectangle, it was given that

Base 2 = 10 inches

Altitude 2 = 5 inches

Ratio of their bases is given by the ratio of the base of the first rectangle to the second one.

Ratio of their altitudes is given by the ratio of the altitude of the first rectangle to the altitude of the second rectangle.

Ratio of their bases = $\frac{12}{10}

Ratio of their altitudes = $\frac{6}{5}

7 0
3 years ago
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