$\tan x=0$ for $x=n\pi$ , where $n$ is any integer. The inverse tangent function returns numbers between $-\dfrac\pi2$ and $\dfrac\pi2$ . The only multiple of $\pi$ in this range is 0, so $\tan^{-1}0=0$ .

Then

$\sin\left(\tan^{-1}0\right)=\sin0=\boxed0$

5 0

3 years ago

The Green family is a family of six people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 9,750

svetoff [14.1K]

Answer:

The inequality is $6x+4,885.78\leq 9,750.05$

$x\leq 810.71\ gal$

Step-by-step explanation:

Let

x -----> amount of water that can be used by only one family member for the rest of the month

we know that

$6x+4,885.78\leq 9,750.05$

Solve for x

Subtract 4,885.78 both sides

$6x\leq 9,750.05-4,885.78$

$6x\leq 4,864.27$

Divide by 6 both sides

$x\leq 4,864.27/6$

$x\leq 810.71\ gal$ ---> maximum amount of water that can be used by only one family member for the rest of the month

6 0

3 years ago

Read 2 more answers

Video downloaded 30% 0f 32,000 kilobytes how many kilobytes has downloaded so far

denis-greek [22]

30% of 32,000 is 9600

4 0

4 years ago

Only number 7 please, and the expression

spin [16.1K]

Answer:

8n, 40 miles in 5 weeks.

Step-by-step explanation:

given that nate runs 8 miles each week.

Hence in n weeks, he will run

8 miles per week x n weeks

= 8n miles

in 5 weeks, n = 5.

Substituting this into the expression,

8(5) = 40 miles

3 0

3 years ago