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3 years ago

8

A ski has an angle of elevation of 24.4 degrees and a vertical drop of a 1100 ft to the nearest ft, how long is the ski run?

1 answer:

vodka [1.7K]3 years ago

5 0

Answer:

2663 ft

Step-by-step explanation:

Using SOHCAHTOA:

$\sin(24.4) = \frac{1100}{x}$

Solve for x:

$x = \frac{1100}{ \sin(24.4)}$

$x = 2662.765 \approx \: 2663ft$

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4. Write an equation for the line that is parallel to the given line and that passes

pentagon [3]

Answer:

$y=\frac{5}{2}x-14$

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

$y=\frac{5}{2}x-10$

In the given equation, $\frac{5}{2}$ is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of $\frac{5}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{5}{2}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{5}{2}x+b$

Plug in the given point (-6,-29) and solve for b

$-29=\frac{5}{2}(-6)+b$

Simplify -6 and 2

$-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b$

Add 15 to both sides to isolate b

$-29+15=-15+b+15\\-14=b$

Therefore, the y-intercept is -14. Plug this back into $y=\frac{5}{2}x+b$ :

$y=\frac{5}{2}x-14$

I hope this helps!

4 0

3 years ago

Pachacha [2.7K]

B don’t quote me if I’m wrong

5 0

3 years ago

Which number is a factor of 84?

Blababa [14]

Answer:

3

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

6 0

3 years ago

Read 2 more answers

Dave has 10 poker chips, 6 of which are red and the other 4 of which are white. Dave likes to stack his chips and flip them over

Marina86 [1]

The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.

The solution

To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.

The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.

6/2 = 3

10/2 = 5

4/2 = 2

1/2(10C6) - (5C3) + (5C3)

0.5(210-10+10)

= 110

8 0

2 years ago

Mr. Johnson listed each class’s average on a quiz in fraction form. Based on the chart, Which shows the classes ordered from the

notsponge [240]

Answer:

C

Step-by-step explanation:

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5 0

3 years ago