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2 years ago

I need to know the answer and how to solve this

Mathematics

1 answer:

bulgar [2K]2 years ago

7 0

Answer:

v=9

Step-by-step explanation:

There's a property in geometry called the vertical angles postulate, which means that angles on opposite sides of two intersecting lines are congruent, meaning they have the same measure. So, we already know that one value of the angle is 50 degrees, and 6v-4 is also 50 degrees, because of the vertical angles postulate. We can then solve with basic algebra. 6v-4=50, so 6v=50+4. 6v=54, so v=54/6. 54 divided by 6 is 9, therefore v is equal to 9.

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A bowl in the shape of a hemisphere has a volume of 144π cubic centimeters. What is the radius of the bowl?

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6 = r

Step-by-step explanation:

V = $\frac{2}{3}$ πr³ Use this equation to find the volume of a hemisphere

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3 years ago

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2 years ago

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2 years ago

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luda_lava [24]

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8 0

3 years ago

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be

Oksana_A [137]

<h2>Hello!</h2>

The answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

$x_{FirstCar}=x_o+v*t$

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

$x_{SecondCar}=x_o+(v+14mph)*t$

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles, so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

$RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph$

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

$2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours$

Writing the equation:

$264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph$

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

$SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph$

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

Have a nice day!

7 0

3 years ago