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givi [52]
3 years ago
15

Shonda’s car gets an average of 27 miles per gallon. Gas costs $2.25 per gallon and she drives 892 miles to get from Baltimore,

MD to Orlando, FL. What are the conversion factors she could use to calculate the cost of gas to get from Baltimore to Orlando? How much will she spend on gas?
Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

She will spend $74.25 on gas.

Step-by-step explanation:

Given,

27 miles = 1 gallon

1 mile = \frac{1}{27}\ mile

Distance to cover = 892 miles

We will multiply this number with gallons of gas used for 1 mile.

892 miles = \frac{1}{27}*892

892 miles = 33.04 gallons of gas

Rounding off to nearest whole number;

892 miles = 33 gallons

Cost of one gallon of gas = $2.25

Cost of 33 gallons = 2.25*33 = $74.25

She will spend $74.25 on gas.

Keywords: unit rate, conversion

Learn more about conversion at:

  • brainly.com/question/13018923
  • brainly.com/question/13035995

#LearnwithBrainly

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For a project in her Geometry class, Chee uses a mirror on the ground to measure the
maria [59]

The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

  • The eight of the goalpost is approximately <u>16.91 meters</u>.

<h3>Methods used to calculate the height</h3>

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to =  1.4 meters

The distance from her eyes to the ground = 1.65 meters

Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }

Which gives;

h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}

  • The height of the goalpost, h ≈ <u>16.91 meters</u>

Learn more about similar triangles here:

brainly.com/question/10676220

7 0
2 years ago
jeordine spreads out a rectangular picnic blanket with an area of 42 square feet. its width is 6 feet. which equation could you
Bas_tet [7]

L(which is length) is equal to 42 divided by width which is 6. so the equation is L=42/6

5 0
3 years ago
In the year 2,000 there were 8.7 deaths per 1000 residents in the united States.if there were 281,421,906 residents in the U.S.
jolli1 [7]
32,347,345.5 people died in the year 200
6 0
3 years ago
Given w = 1 + i and z = 1 + i, which number can be added to w to produce z?
9966 [12]

Answer:

C) 0i?????????????

Step-by-step explanation:

They are the same thing why would you need to add anything?

I feel bad searching this up

6 0
3 years ago
Read 2 more answers
Pls pls help<br> Show work :)
Natasha2012 [34]

9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

<em>Comment on the figure</em>

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

5 0
3 years ago
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