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stellarik [79]
3 years ago
9

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter

the appropriate letter (A,B,C,D, or E) in each blank.
A. tan(sin−1(x/4))
B. cos(sin−1(x/4))
C. (1/2)sin(2sin−1(x/4))
D. sin(tan−1(x/4))
E. cos(tan−1(x/4))
Mathematics
1 answer:
andreev551 [17]3 years ago
6 0

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }

sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }

sin(2α) = 2 sinα cosα

So,

1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})

See what you can do with the others.

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you have a gift card worth $50 you want to buy several paperback books that cost $6 each write and solve an inequality to find t
VARVARA [1.3K]
$6x$5=$30

$50-$30=$20

So 5 books?

Or
50=6x5+x
x=20
3 0
3 years ago
Jack rented a moving truck for 7 hours and paid $153.65. how much did it cost per hour?
rosijanka [135]

Answer:

$21.95 per hour

Step-by-step explanation:

To find the cost per hour, we take the total cost and divide by the number of hours

$153.65/ 7 hours

$21.95 per hour

7 0
3 years ago
(9·20+60)÷4−16+4·(20·5)
neonofarm [45]

\text {Hello! Let's Solve this Problem!}

\text {The First Step is to Solve the Parentheses:}

\text {90*20=180+60=240}\\\text {20*5=100}

\text {Your new Problem should be: 240/4-16+4+100}

\text {The Next Step is to Divide:}

\text {240/4=60}

\text {Your new Problem should be: 60-16+4*100}

\text {The Next Step is to Subtract:}

\text {60-16=44}

\text {Now the Next Step is to Multiply:}

\text {4*100=400}

\text {The Final Step is to Add:}

\text {44+100=}

\text {Your Answer should be:}

\fbox {444}

\text {Best of Luck!}

\text {-LimitedX}

6 0
3 years ago
Read 2 more answers
The sale price of a bike is $189.50. The sale tax is 5%. What is the total price?
Roman55 [17]
It would be $947.50 because you would multiply $189.50 by 0.05.
3 0
3 years ago
Read 2 more answers
To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
docker41 [41]

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

5 0
3 years ago
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