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3 years ago

Sin θ > 0 and tan θ < 0 then:

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Answer:

last choice

Step-by-step explanation:

sin(theta) is positive

tan(theta)=sin(theta)/cos(theta) is negative

If sin(theta) is positive and tan(theta) is negative, then cos(theta) is negative because +/-=-

So we are looking for the quadrant where sine is positive and cosine is negative or when x is negative and y is positive.

This is in quadrant 2 so our angle theta is between 90 and 180 degrees.

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Allison invested $70,000 in an account paying an interest rate of 6.2%

jeka94

Answer and Step-by-step explanation:

First, you need to make the function to represent the information given.

We start with 70,000 in the account, and have an interest rate of 6.2%.

We want to know how long it will take to get $223,200.

The equation for simple interest is:

A = $P(1 + rt)$

Where A is the total amount, P is the principle amount of money, r is the rate, and t is the time.

Now, we plug in the values and solve for t.

$223,200 = 70,000(1+6.2t)$

$\frac{\frac{223,200}{70,000} -1}{6.2} = t$

t = 0.353

Multiply by 100 to get the years.

t = 35.3

So, it will take Allison 35.3 years to get 70,000 dollars to 223,200 dollar with an interest rate of 6.2%

#teamtrees #PAW (Plant And Water)

I hope this helps!

5 0

3 years ago

Read 2 more answers

Leila and jo are two of the partners in a business. Leila makes $3 in profits for every $4 that jo makes. If jo makes $60 profit

Aleonysh [2.5K]

Let

x-------> Leila 's profit

y------> Jo's profit

we know that

$\frac{x}{y} =\frac{3}{4}$ ----------> equation $1$

For $y=\$60$

Find the value of x

Substitute the value of y in the equation $1$

$\frac{x}{60} =\frac{3}{4}$

$x=60*\frac{3}{4}$

$x=\$45$

therefore

the answer is

Leila make $\$45$ in profit

5 0

3 years ago

Read 2 more answers

Teddy was having trouble fitting into his clothes due to weight gain. In January, he weighed 180 lbs 6 oz. He gained 3 lbs 9 oz,

barxatty [35]

He weighs 196 lbs and 6 ounces. if you add the pounds (180 to 3, 5, 6)you get 194. then you add he ounces, and remember that there are 16 ounces in a pound and 8 ounces in a cup, (6 to 9, 12, 11) you get 2lbs and 6 ounces. then you add the 2 extra pounds to the 194 and you get, all together, 196 lbs and 6 ounces.

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4 years ago

Which of the following formulas is used to calculate the probability of independent events A and B?

maksim [4K]

P (A and B) = P(A) * P(B)...answer is D

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3 years ago

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Three swimmers competed in a 50 m freestyle race. A description of their swimming speeds is given. Order the

shtirl [24]

What are the descriptions???

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4 years ago