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3 years ago

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A truck can be rented from Company A for $70.00 a day plus $0.00 per mile. Company B charges $40.00 a day plus $0.70 per mile to

rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same?

1 answer:

inessss [21]3 years ago

7 0

Sent a picture of the solution to the problem (s).

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Given that segment AB is tangent to the circle shown in the diagram centered at point C, determine the value of x

Ulleksa [173]

Answer:

<h2>x= 37</h2>

Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

$hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}$

Substituting our given data and solving for hpy we have

$hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37$

hence x= 37

5 0

3 years ago

I need some help please

zvonat [6]

10 x 10 = 100 80 x 80 =6400 6400-100= 6300 so that would have to be 3150ft.

5 0

3 years ago

Evaluate the expression <br> -2.3=

hammer [34]

Answer:-2.3

Step-by-step explanation:

4 0

3 years ago

Use the definition of the derivative to differentiate v=4/2 pie r^3

nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

$\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)$

$\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}$

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

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2 years ago

The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the diffe

Mashutka [201]

Step-by-step explanation:

13.5 is the difference of the length of the roads

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2 years ago