Evaluate 14+ (- 2) A) 12 B)- 12 C) 16 D)- 16

Trigonometric identities: Performance task

MakcuM [25]

#1

$\\ \sf\longmapsto (1+cosx)(1-cosx)$

$\\ \sf\longmapsto 1-cos^2x$

$\\ \sf\longmapsto sin^2x$

#2

$\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}$

$\\ \sf\longmapsto tan^2x-sec^2x$

$\\ \sf\longmapsto 1$

3 0

3 years ago

Read 2 more answers

A number N is greater than 3. Which of the following best represents the location of 3N

Nesterboy [21]

Answer:

The second number line represent the location of 3N values.

Step-by-step explanation:

The first number line represent the inequality N > 3.

Now, the new number is 3N.

Consider the second number line values:

3N = {12, 15, 18, 21, ....}

The second number line represent the location of 3N values.

5 0

3 years ago

Julie has a jewlery box shaped like a cube. The volume of the jewlery box is v cubic inches. Write an

Stolb23 [73]

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ = v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

7 0

3 years ago

Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 7

Karolina [17]

Answer:

[0, 7]

Step-by-step explanation:

We want the height to be greater than or equal to 32 ft, so ...

704 +16t -16t^2 ≥ 32

t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16

(t -7)(t +6) ≤ 0

This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...

0 ≤ t ≤ 7 . . . . [0, 7] in interval notation

6 0

3 years ago

You are walking from home to a grocery store . You stop for a rest after 1/3 miles. The grocery store is actually 3/8 miles from

IgorLugansk [536]

Answer:

1/24

Step-by-step explanation:

1/3 = 8/24

3/8 = 9/24

9/24 - 8/24 = 1/24

3 0

3 years ago