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3 years ago

Solve tanx = √3 using the unit circle. Show all work.

Mathematics

1 answer:

Naily [24]3 years ago

3 0

Answer:

x = /3 + n

Step-by-step explanation:

I isolated the function and then took the inverse to find the solution(s).

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Fund Raising. Suppose you have signed up for a bike-a-thon to raise money for charity. One person is sponsoring you at a rate of

soldi70 [24.7K]

Answer:

The system of equation is $\left \{ {{d=15} \atop {d=0.5m}} \right.$ .

After 30 miles all the sponsors donate the same amount.

Step-by-step explanation:

Given:

Amount of donated by each of the other sponsors = $15

Amount donating by one person per mile = $0.5

We need to write the system of equation to model the donation d for m miles biked.

Also We need to find the number of miles all sponsors donate the same amount.

Solution:

Let the amount donated be denoted by 'd'.

Let number of miles biked be denoted by 'm'.

Now we know that;

Amount of donated by each of the other sponsors = $15

so we can say that;

$d=15$

Also We know that;

Amount donating by one person per mile = $0.5

So we can say that;

$d=0.5m$

Hence The system of equation is $\left \{ {{d=15} \atop {d=0.5m}} \right.$ .

Now to find the number of miles when all the sponsors donate the same amount we will make both the equation equal we get;

$0.5m=15$

Dividing both side by 0.5 we get;

$\frac{0.5m}{0.5}=\frac{15}{0.5}\\\\m=30\ miles$

Hence After 30 miles all the sponsors donate the same amount.

8 0

3 years ago

Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $

IgorLugansk [536]

The answer is 7. You can solve it by going through all the answers and testing the math. 7 x 15$ = 105 so add that to 3 x 25 = 75 and it proves it equals 180$.

6 0

3 years ago

Read 2 more answers

The terminal side of θ passes through the point (10, 6). What is the exact value of cos θ in simplified form?

seraphim [82]

Answer:

$\frac{5\sqrt{34}}{34}$

Step-by-step explanation:

The formula for cos θ is a/r. A is the first number (10) and b is the second number (6). R is the hypoteneuse which can be found through r = $\sqrt{a^{2} + b^{2} }$ .

In the equation you'd write that as r = $\sqrt{10^{2} + 6^{2}$ which can be simplified to $\sqrt{136$ .

You end up with $\frac{10}{\sqrt{136} }$ and you simplify this by doing $\frac{10 }{\sqrt{136} } * \frac{\sqrt{136} }{\sqrt{136} }$ , ending with the result of $\frac{5\sqrt{34}}{\sqrt{34} }$ .