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slava [35]
3 years ago
6

Find the exact value of tan(sin^-1((-12/13))

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

<em>2.399</em>

Step-by-step explanation:

Given the trigonometry expression:

tan(sin^-1((-12/13))

We are to find the exact value

tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))

tan(sin^-1((-12/13)) = tan(-67.38)

Also note that tan(-theta) = -tan theta

tan(-theta) = -tan67.38

tan(-67.38) = -2.399

<em>The exact value is 2.399</em>

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The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to tr
antoniya [11.8K]

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

5 0
3 years ago
Is line m: -x+2y=6 parallel, perpendicular, or neither parallel nor perpendicular to line n: y=-2x+6?
Serhud [2]
Make them both equal to y

y=-2x+6

2y=x+6 y=1/2x+3

These are perpendicular since ones slope is -2 and the other is the opposite, 1/2.
7 0
3 years ago
A student estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. what is the percent err
Masteriza [31]

40 percent 3/5 equals 60, 5/5 equals 100, 100-60 equals 40 percent

4 0
3 years ago
Explain how System 1 becomes equivalent to System 2.
Nostrana [21]

Answer:

\left\{\begin{array}{ccc}(A+L)x+(B+M)y=C+N\\Ax+By=C\end{array}\right

<h3>A.The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.</h3>

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}Ax+By=C\\Lx+My=N\end{array}\right}\qquad\text{add both sides of the equations}\\(Ax+Lx)+(By+My)=C+N\qquad\text{distributive}\\(A+L)x+(B+M)y=C+N

5 0
3 years ago
Read 2 more answers
If you divide 7/8 by 3/4, will the quotient be greater than<br> or less than 7/8
Verizon [17]
I believe that the quotient of 7/8 divided by 3/4 is 1.6 repeating and 1.6 repeating is 1 and 2/3 as a fraction so that means that the quotient of 7/8 by 3/4 is greater than 7/8. I hope this helped.
8 0
3 years ago
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