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Artyom0805 [142]
2 years ago
10

Wich unit rate is equal to 15 miles per gallon

Mathematics
2 answers:
kipiarov [429]2 years ago
8 0

Answer:

Step-by-step explanation:

1.2 gallons is equal to 15 miles per hour

dsp732 years ago
3 0
<h3>Answer: <u><em>Sixty miles over four gallons</em></u></h3>

Step-by-step explanation:  

<h3><u><em>Since </em></u></h3><h3><u><em></em></u></h3><h3><u><em>thirty miles over three gallons  </em></u></h3><h3><u><em></em></u></h3><h3><u><em>Unit rate would be  miles per gallon.</em></u></h3><h3><u><em></em></u></h3><h3><u><em>three gallons over thirty miles  </em></u></h3><h3><u><em></em></u></h3><h3><u><em>Unit rate would be  miles per gallon.</em></u></h3><h3><u><em></em></u></h3><h3><u><em>four gallons over sixty miles  </em></u></h3><h3><u><em></em></u></h3><h3><u><em>Unit rate would be  miles per gallon.</em></u></h3><h3><u><em></em></u></h3><h3><u><em>sixty miles over four gallons</em></u></h3><h3><u><em></em></u></h3><h3><u><em>Unit rate would be  miles per gallon.</em></u></h3>

<u><em></em></u>

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Which of the following answer choices is an equation for the circle with a center of (-2, 3) and a radius of 3?
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Answer:

A

Step-by-step explanation:

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(x - h)² + (y - k)² = r²

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Here (h, k) = (- 2, 3) and r = 3 , then

(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL

x² + 4x + 4 + y² - 6y + 9 = 9  ( subtract 9 from both sides )

x² + y² + 4x - 6y + 4 = 0 → A

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5 0
2 years ago
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If a triangle with vertices A(-1, 4), B(-1, -2), C(2, -2) is dilated with a scale factor of 2 and a center of dilation at the or
givi [52]

Answer:

A' (-2,8) B' (-2,-4) C' (4,-4)

Step-by-step explanation:

Dilations Rule :

(x,y) → (kx,ky)

Scale factor = K

When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.

( you plug in 2 in every point and those are your answers).

Remember negative times negative is positive and positive times negative is negative.

5 0
2 years ago
There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
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