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igor_vitrenko [27]
3 years ago
10

Find the value of x to the nearest tenth. See linked picture below. Thanks!

Mathematics
1 answer:
Ber [7]3 years ago
6 0
Answer: Choice D) 11

----------------------------

Work Shown:

cos(angle) = adjacent/hypotenuse
cos(35) = 9/x
x*cos(35) = 9
x = 9/cos(35)
x = 10.9869712988531 ... make sure your calculator is in degree mode
x = 11 ... rounding to the nearest tenth

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A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
cupoosta [38]

Answer:

\displaystyle y=-\frac{1}{2}x+1

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two points are given: (-6,4) and (-2,2). Calculating the slope:

\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}

The equation of the line is, so far:

\displaystyle y=-\frac{1}{2}x+b

To calculate the value of b, we use any of the given points, for example (-6,4):

\displaystyle 4=-\frac{1}{2}(-6)+b

\displaystyle 4=3+b

Solving:

b = 1

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{2}x+1}

We can see none of the choices is correct.

8 0
3 years ago
A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots.
andriy [413]

Answer:

$ 1.96

Step-by-step explanation:

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Probability that ball will land on $1 = \frac{9}{28}

Probability that ball will land on $2 = \frac{18}{28}

Probability that ball will land on $10 = \frac{1}{28}

The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.

i.e. for this case:

Expected Value will be:

(1 \times \frac{9}{28})+(2 \times \frac{18}{28})+(10 \times \frac{1}{28})\\\\ =1.96

This means, on average the player should expect to win $ 1.96

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3 years ago
Arithmetic sequence 12, 10, 8, 6
Dennis_Churaev [7]
It's simply 4,2,0,-2..... the pattern is just subtracting two as you go on.
4 0
3 years ago
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What single discount is equal to a discount of 1/4 off followed by an additional 10% off the sale price?
White raven [17]
Original is 100
1/4 off is 25 off
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10% what's left is 75-7.5=67.5

this was already out of 100

100=67.5=32.5

1/4 off and then 10% off is the same as 32.5% discount
4 0
3 years ago
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Answer:

which expression is modeled by this set of arrows on a number line

which expression is modeled by this set of arrows on a number line

which expression is modeled by this set of arrows on a number line

Step-by-step explanation:

h i

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