What is the answer to 8 − (−11)

The measure of angle θ is 3pi/2 . The measure of its reference angle is /, and tan θ is .

Sphinxa [80]

Answer:

Reference angle: $\frac{\pi}{2}$

$tan(\theta)=tan(\frac{3\pi}{2})$ is not defined.

Step-by-step explanation:

The angle $\theta$ goes from the positive x-axis to the negative y-axis.

Therefore the reference angle can be calculated as following:

$\frac{3\pi}{2}-\pi=\frac{\pi}{2}$

We know that $tan(\theta)$ is:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

If $\theta=\frac{3\pi}{2}$ then $cos(\frac{3\pi}{2})=0$ , therefore $tan(\frac{3\pi}{2})$ is not defined, because the division by 0 is not defined.

8 0

3 years ago

Anne wants to tie a support line from the top of a 50 foot radio tower to an anchor spot 30 feet from the tower’s base. Approxim

eduard

58.3ft

Use the pythagorean theorem to find the answer.

5 0

3 years ago

The price of a lawn mower is x dollars. The store is having a 75% end of summer clearance sale. Which expression can be used to

Marrrta [24]

Answer:

A

Step-by-step explanation:

.25x

100% - 75% = 25%

The clearance price is 25% of the price of the lawn mower.

Write 25% as a decimal and multiply.

.25x

6 0

3 years ago

Read 2 more answers

Order the numbers in each list from least to greatest

Vera_Pavlovna [14]

The answer is -7,-5,-1,0

8 0

3 years ago

Read 2 more answers

Rewrite the form In exponential form: Log100 = x

andrey2020 [161]

Answer:

$10^x=100$

Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression $\log100=x$ means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is $10^x=100$ .

(If we wanted to, we could also solve this: $10^2=100$ , so $\log100=2$ )

6 0

3 years ago