Verify the identity:

cos(a+B)/cos a sin B = cot B -tan a

Answers

Answer 1

Answer: cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;

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At a carnival game, there is a 38% probability of winning a prize. What is the probability of not winning a prize?38%
50%
62%
76%

Answers

62% because 100 - 38 is 62

Answer:

The answer would be 62%

Simplify the rational expression. State any excluded values.

Answers

So on the top, you split it up using the difference of squares rule.
You get (x - 6)(x + 6) on the top.

On the bottom, you can undistribute (pull out) -7x.
This gives you -7x(x-6) on the bottom.

Now you can cancel like terms in the numerator and denominator.
You can cancel the (x-6).
You can also move the negative sign from the 7x to the (x + 6)

This leaves you with -(x + 6) over 7x, or (6 - x) over 7x.

To find excluded values, all you need to know is that you can't divide by zero under any circumstances, and you can't have a zero on the top in a rational expression.
The only values for x that would make either of these statements true are if x = 0 (7 × 0 = 0 on the bottom), or if x = 6 (6 - 6 +0 on the top)

So the answer is (6 - x) over 7x, x ≠ 0, 6

Solve this inequality j/4 -8<4

Answers

$(j)/(4)$ - 8 < 4
Take 8 to the right side
$(j)/(4)$ < 12
Multiply by 4 on either sides to isolate the variable
j < 48

Two cyclists, 90 mi apart, start riding towards each other at the same time. One cycles twice as fast as the other. If they meet 3 hr later, at what average speed is each cyclist traveling?

Answers

The slower cyclist's speed is 10 mph, and the faster cyclist's speed is 20 mph.

Let's denote the speed of the slower cyclist as "x" miles per hour (mph). Since the faster cyclist is going twice as fast, their speed would be "2x" mph.

When they start riding towards each other, their combined speed is the sum of their individual speeds:

Combinedspeed = x + 2x

= 3x mph.

We are given that they meet 3 hours later and travel a totaldistance of 90 miles.

The distance each cyclist travels can be calculated using the formula:

Distance = Speed × Time.

For the slower cyclist:

Distance = x × 3

Distance = 3x miles.

For the fastercyclist:

Distance = 2x × 3

Distance= 6x miles.

Since they are 90 miles apart and have traveled a total distance of 90 miles when they meet, we can set up an equation:

Distance of slower cyclist + Distance of faster cyclist = Total distance

3x + 6x = 90.

Simplify the equation:

9x = 90.

Divide both sides by 9:

x = 10.

So, the speed of the slower cyclist is 10 mph, and the speed of the faster cyclist is 2x which is 20 mph.

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GIVING BRAINIEST
Explain how u got your answer
Pick from 1. 2. And 3.

Answers

Answer:

#2 is not a function

Step-by-step explanation:

Although there can be multiple y-values attributed to a single x-value, there can only be ONE x-value(of a number) in a function, so #2 would be incorrect seeing as it uses the x-value, 2, two times.

An infant is 32.625 inches (in) long. Write this as a common fraction.