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Tanya [424]
2 years ago
5

Ariel snowboarded down a mountain that has a vertical height of 1,200 feet. She traveled a distance of 2,400 feet from the top o

f the mountain to the base. The angle of elevation from the base to the top of the mountain is (blank)°.
Mathematics
1 answer:
KIM [24]2 years ago
6 0
For this case what you should do is use the following trigonometric relationship
 senx = (1200) / (2400)
 senx = 0.5
 Clearing the angle we have
 x = ASIN (0.5)
 x = 30
 Answer:
 The angle of elevation from the base to the top of the mountain is 30 °
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Sholpan [36]

3x - 2y + 2 = 0 → -2y + 2 = -3x → -2y = -3x - 2 → y = \frac{3}{2}x + 1

\frac{3}{2}x - y + 3 = 0 → -y + 3 = -\frac{3}{2}x → -y = -\frac{3}{2}x - 3 → y = \frac{3}{2}x + 3

These two equations have the same slope but different y-intercepts so they are parallel lines. (aka inconsistent).

Answer: Inconsistent, (0, 1), (0, 3)


3 0
2 years ago
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4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to th
iVinArrow [24]

Answer:

Future Value = $2,516,900 cent

Step-by-step explanation:

Here, we're to calculate future values;

Given the following parameters

Investment = $4,400

Interest Rate = 8.25%

Time = 22 years

Amount = ?

Future Value is calculated using the following formula;.

Future Value = Investment * (1 + Interest Rate)^time

Substitute each value;

Future Value = $4,400 * ( 1 + 8.25%)^22

Future Value = $4,400 * (1 + 0.0825)^22

Future Value = $25169.036295801178201749433678664198539199704088854443412123828238691203296184539794921875

Future Value = $25169 --- Approximated

Convert to Cent

Future value = $25,169 * 100 cent/$

Future Value = $2,516,900 cent

Hence, $2,516,900 cent will be in the account after 22 years

6 0
2 years ago
Admission for a water park is 17.50 per day.a season pass cost 125. How many days must you go to the water park to make buying t
solmaris [256]

You must go to the water park for 8 days to make buying the season pass worth it.

<em><u>Explanation</u></em>

Suppose, the number of days you must go to the water park is  x

Admission for the park is 17.50 per day. So, <u>the total cost for x days</u> will be:  17.50x

Given that, the season pass cost 125. So, the equation will be.....

17.50x=125\\ \\ x=\frac{125}{17.50}=7.142...\\ \\ x \approx 8

<em>(As the number of days can't be in decimal)</em>

So, you must go to the water park for 8 days to make buying the season pass worth it.

7 0
2 years ago
Meghan says the difference between the least amount of time it takes a student to say the alphabet and the greatest amount of th
kupik [55]

Answer:

67 eghan says the difference between the least amount of time it takes a student to say the alphabet and the greatest amount

Step-by-step explanation:

4 0
2 years ago
Ron is selling items at a craft show. The first hour his sales are $20. His sales grow by 10% each hour. What are Ron's total sa
solong [7]
C. $122.10. You take 20, then take 10 percent of that to find the second hour's earnings (which is $22), then you take 10% of that number to find the next hour's earnings, and so on and so on until you reach the 5th hour. When you add all the values up, you get $122.10.
4 0
2 years ago
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