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forsale [732]
2 years ago
12

Compute the cost of driving for two different job options.4 $Driving costs 0.50 dollars per mile. Driving occurs 250 days per ye

ar.50 $ Ex: 600
Mathematics
1 answer:
ohaa [14]2 years ago
4 0

Answer:

Compute the cost of driving for two different job options.

Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.

Job 1

Miles each way 5

What is the cost of driving?

Job 2

Miles each way 50

What is the cost of driving?

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Joe drew a diagram of a window as shown below. The window is formed by a square and a semicircle. The area of the square portion
abruzzese [7]

One side of the square measures 28 inches. Use 3.14 for π.

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2 years ago
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}
\begin{tabular}{ |c |c |c }
 x & g(x) \\
 -1 & -22 \\
 0 & -20  \\
1 & -18   
\end{tabular}
\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
8 0
2 years ago
Read 2 more answers
A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0
2 years ago
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Mariana [72]

Answer:

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Step-by-step explanation:

Area is base times height time half

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Then solve for x

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Mark's score could be 120,000. Each ball would be worth 20,000 points and since 2,000 times 6 is 120,000, that's how many points he could have. 
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