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3 years ago

Value of sin^-1(sin 9pi/7)

1 answer:

3 0

Hint: $\bf \begin{array}{llll}
sin^{-1}[sin(whatever)]= whatever\\\\
cos^{-1}[cos(whatever)]= whatever\\\\
tan^{-1}[tan(whatever)]= whatever
\end{array}\\\\
------------------\\\\
\begin{array}{llll}
sin[sin^{-1}(whatever)]= whatever\\\\
cos[cos^{-1}(whatever)]= whatever\\\\
tan[tan^{-1}(whatever)]= whatever
\end{array}$

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Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

$x+16=\frac{420-y}{5}...(1)$

$x=\frac{y}{5}...(2)$

Upon substituting $x=\frac{y}{5}$ in 1st equation we will get,

$\frac{y}{5}+16=\frac{420-y}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

$5\times\frac{y}{5}+5\times 16=420-y$

$y+80=420-y$

$y+80+y=420-y+y$

$2y+80=420$

$2y=420-80$

$2y=340$

$y=\frac{340}{2}$

$y=170$

Upon substituting y=170 in 2nd equation we will get,

$x=\frac{170}{5}$

$x=34$

Therefore, Charlene's speed is 34 miles per hour.

6 0

3 years ago

A sporting goods stores sells footballs, basketballs, and volleyballs. A football costs $35, a basketball costs

wlad13 [49]

Answer:

The number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.

Step-by-step explanation:

Consider the provided information.

A football costs $35, a basketball costs $25 and a volleyball costs $15.

Let F represents the football, B represents the basketball and V represents the volleyball.

On a given day, the store sold 5 times as many footballs as volleyballs.

$F=5V$ ......(1)

They brought in a total of $3750 that day,

$35F+25B+15V=3750$ ......(2)

The money made from basketballs alone was 4 times the money.

$25B=4(15V)$ ......(3)

By equation 1, 2 and 3.

$35(5V)+4(15V)+15V=3750$

$250V=3750$

$V=15$

Substitute the value of V in equation 1 and 3.

$F=5(15)=75$

$25B=4(15\times 15)\\B=36$

Hence, the number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.

8 0

3 years ago

When calculating a loan’s effective rate, if the interest compounds every two months, what value of n do you plug into your equa

olga2289 [7]

The value of n you plug into your equation will be 6. Then the correct option is C.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

When calculating a loan’s effective rate.

If the interest compounds every two months.

Then the value of n you plug into your equation will be

If the interest is compounded every two months, the interest will be applied six times every year.

Because there are 12 months in a year, the value of n that you will plug into your equation is 6, and it will be compounded every two months.

More about the compound interest link is given below.

brainly.com/question/25857212

8 0

2 years ago

Read 2 more answers

What is the sum?? need help

SOVA2 [1]

43+35=78 the answer is 78

3 0

3 years ago

Which ordered pair is on the inverse of f(x)?<br><br> (–4, –2)<br><br> (–2, –2)<br><br> (–1, –2)

tekilochka [14]