143 divided by 7 puls [11-9]

The function f(x) is graphed below. Use the graph of the function to find, f(-2)

Roman55 [17]

Where is the graph? Could you attach it somewhere

4 0

3 years ago

20 POINTS!! ASAP, PLS SHOW WORK TYY

Sergeeva-Olga [200]

Answer:

$\sin(\theta)=-\sqrt5/5\text{ and } \csc(\theta)=-\sqrt5\\\cos(\theta)=2\sqrt5/5\text{ and } \sec(\theta)=\sqrt5/2\\\tan(\theta)=-1/2\text{ and } \cot(\theta)=-2$

Step-by-step explanation:

First, let's determine which quadrant our angle θ lies in.

Remember ASTC, where:

Everything is positive in QI,

Only sine (and cosecant) is positive in QII,

Only tangent (and cotangent) is positive in QIII,

And only cosine (and secant) is positive in QIV.

Since our tangent is negative, and our cosine is positive, this means that our θ <em>must</em> be in QIV.

In QIV, sine is negative, tangent is negative, and cosine is positive.

With that, let's figure out the remaining trig ratios.

We know that:

$\tan(\theta)=-1/2$

Remember that tangent is the ratio of the opposite side to the adjacent side.

Let's figure out our hypotenuse using the Pythagorean Theorem:

$a^2+b^2=c^2$

Substitute 1 for a and 2 for b (we can ignore the negative since we're squaring anyways). This yields:

$(1)^2+(2)^2=c^2$

Square:

$1+4=c^2$

Add:

$c^2=5$

Take the square root:

$c=\sqrt{5}$

So, our square root is √5.

So, our three sides are: Opposite=1, Adjacent=2, and Hypotenuse=√5.

Sine and Cosecant:

Remember that:

$\sin(\theta)=opp/hyp$

Substitute 1 for the opposite and √5 for the hypotenuse. This yields:

$\sin(\theta)=1/\sqrt5$

Rationalize:

$\sin(\theta)=\sqrt5/5$

And since our angle is in QIV, we add a negative:

$\sin(\theta)=-\sqrt5/5$

Cosecant is simply the reciprocal of sine. So:

$\csc(\theta)=-\sqrt5$

Cosine and Secant:

Remember that:

$\cos(\theta)=adj/hyp$

Substitute 2 for the adjacent and √5 for the hypotenuse. This yields:

$\cos(\theta)=2/\sqrt5$

Rationalize:

$\cos(\theta)=2\sqrt5/5$

Since our angle is in QIV, cosine stays positive.

Secant is the reciprocal of cosine. So:

$\sec(\theta)=\sqrt5/2$

Tangent and Cotangent:

We were given that:

$\tan(\theta)=-1/2$

To find cotangent, flip:

$\cot(\theta)=-2$

And we're done!

7 0

3 years ago

Sales tax on a shirt is 0.07 times the cost of the shirt. The sales tax for a shirt is $1.26. Which equation could you use to fi

serious [3.7K]

Answer: First option.

Step-by-step explanation:

According to the explained in the exercise, "c" represents the cost of the shirt before sales tax.

You know that the tax on the shirt is 0.07 times its cost. This indicates a multiplication.

Then, that the sales tax is the product of 0.07 and "c":

$0.07c=sales\ tax$

Knowing that the sales tax for a shirt is $1.26, you can substitute this value into $0.07c=sales\ tax$ in order to find the equation that could be used to find the cost of the shirt before sales tax.

Then, this is:

$0.07c=1.26$

3 0

3 years ago

Read 2 more answers

write a decimal division problem that has an estimated quotation of 4. explain how to get the estimation

vodomira [7]

9514 1404 393

Answer:

15.8 ÷ 3.9

Step-by-step explanation:

To make up this problem, we can start with two numbers whose quotient we know is 4, such as 16 and 4. Then we can choose two numbers that round to these values, such as 15.8 and 3.9

__

The problem 15.8 ÷ 3.9 has an estimated quotient of 4. The estimate is found by rounding each value to the nearest integer and finding the quotient of those numbers: 16/4 = 4.

_____

<em>Additional comment</em>

The actual quotient is 4 2/39, about 4.05128.

7 0

3 years ago

Melinda is running in gym class. She has 45 minutes and needs to run 6 miles. Write and solve an inequality to find the amount o

Goryan [66]

Answer:

She can spend 7.5 minutes each mile

Step-by-step explanation:

6 × 7.5 minutes = 45 minutes. So, if Melinda runs 1 mile every 7.5 minutes, after 45 minutes she would have done 6 miles.

6 0

3 years ago