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suter [353]
3 years ago
13

The total price of an article is $7.02, including tax. If the tax rate is 8%, what is the retail price of the article?

Mathematics
1 answer:
masya89 [10]3 years ago
4 0
Lets price of article = x
Tax  is 8%  of article = 0.08x

x+0.08x=7.02
1.08x=7.02
x=7.02/1.08 
x=6.5
The retail price is $6.50.
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An airplane with an air speed of 165 mph is headed 210°. If the plane encounters a 15 mph wind from the west, find the ground sp
mestny [16]
Since a calculator is involved in finding the answer, it makes sense to me to use a calculator capable of adding vectors.

The airplane's ground speed is 158 mph, and its heading is 205.3°.

_____
A diagram can be helpful. You have enough information to determine two sides of a triangle and the angle between them. This makes using the Law of Cosines feasible for determining the resultant (r) of adding the two vectors.
.. r^2 = 165^2 +15^2 -2*165*15*cos(60°) = 24975
.. r = √24975 ≈ 158.03
Then the angle β between the plane's heading and its actual direction can be found from the Law of Sines
.. β = arcsin(15/158.03*sin(60°)) = 4.7°
Thus the actual direction of the airplane is 210° -4.7° = 205.3°.

The ground speed and course of the plane are 158 mph @ 205.3°.

4 0
3 years ago
Circumference of a circular disc is 157 cm, find its radius​
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Answer:

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7 0
2 years ago
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5. The Riverside Geyser in Yellowstone National Park erupts
Anastasy [175]

Answer:

Step-by-step explanation:

<h3>A.</h3>

The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...

  h(t) = -16t² +69t

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<h3>B.</h3>

The maximum height is at a time that is halfway between the zeros of the function.

  h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125

The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...

  h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet

The maximum height of the geyser is about 74.4 feet.

4 0
2 years ago
Show All Work
Angelina_Jolie [31]
The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:
5,249 = 29d
If they read 5,249 <em>pages</em>, then we can include the unit for pages in the equation.
Since we also know that <em>d</em> is the number of days it took, you can replace <em>d</em> with days.
The equation becomes:
5,249\ pages=29*(x\days)
Now that we have one variable, we can solve for <em>p/d</em>:
\frac{5,249\ pages}{29}=x\ days\\\\181 = x
Thus it took them 181 days to read it all.

If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding <em>p/d</em> is:
\frac{p\ pages}{d\ days}=\frac{5,249\ pages}{181\ days}=\frac{29\ pages}{1\ day}\\\\29\ \frac{pages}{day}
Johnny read 29 pages per day.
8 0
3 years ago
Given a triangle with side lengths of 20 cm and 7 cm, what is a possible length of the third side?
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Answer:

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you know where there at first place where did in touch shortly me so sorry it's worth your company I had any attachments transmitted for more and they would appreciate hearing how

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2 years ago
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