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Natasha_Volkova [10]
2 years ago
11

5. A ski slope is 310 yards long with a vertical drop of 220 yards. Find the

Mathematics
1 answer:
OleMash [197]2 years ago
6 0
It helps to draw a picture so you can see which trig ratios to use but...

310 is the hypotenuse of the ski slope and the side length across from the angle you’re looking for is 220, the vertical drop.

You can use sin to find theta.

sinx= 220/310

sinx=0.70967...
x = sin inverse of 0.70967....
x = 45°
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RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

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bixtya [17]
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2 years ago
A police department commissioned a door-to-door survey of citizens on whether they commit minor law infractions, such as speedin
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Step-by-step explanation:

The example given in the question illustrates the Interviewer-induced bias. This occurs when the situation created by the interviewer is such that the respondent will have to give the kind f answer that the interviewer wants to hear.

For example, in the question, we can deduce that the interviewers told the interviewees that they won't be investigated and the gave bias replies based on that.

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Answer:

See explanation, and comment for more details!

Step-by-step explanation:

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12.

a. x=3, y=4, z=5

b. x=\sqrt{2}, y=\sqrt{2}, z=2

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3 years ago
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