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3 years ago

The area of the United States is 3,794,100 square miles. Which is the best estimation of this area?

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

The answer is C because. 4,000,000 is closest to 3,794,100

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Find the exact values of the remaining five trigonometric functions of theta, suppose theta is an angle in the standard position

nexus9112 [7]

Answer:

$\sin(\theta)=60/61\text{ and } \csc(\theta)=61/60\\\cos(\theta)=11/61\text{ and } \sec(\theta)=61/11\\\tan(\theta)=60/11\text{ and } \cot(\theta)=11/60$

Step-by-step explanation:

So, we know that:

$\tan(\theta)=60/11\text{ and } 90\textdegree$

Since θ is in QI, this means that all of our trig ratios will be positive. Recall All Students Take Calculus. Since it's QI, we refer to A in All. The A tells us that all the ratios will be positive.

Now, let's figure out the remaining ratios knowing that all of them is positive. First, let's find the hypotenuse. Recall that tangent is the ratio of the opposite side to the adjacent side. So, we can use the Pythagorean Theorem to find the hypotenuse. So:

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

Substitute 60 for a and 11 for b:

$60^2+11^2=c^2$

Solve for c. Square both numbers:

$3600+121=c^2$

Add:

$c^2=3721$

Take the square root of both sides:

$c=61$

Therefore, the hypotenuse is 61.

So, our side lengths are: Opposite=60; Adjacent=11; and Hypotenuse=61.

Now that we know the lengths, we can find the other trig ratios:

Sine and Cosecant:

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

Substitute 60 for Opp and 61 for Hyp:

$\sin(\theta)=60/61$

Cosecant is the reciprocal of sine. So:

$\csc(\theta)=61/60$

Cosine and Secant:

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

Substitute 11 for Adj and 61 for Hyp:

$\cos(\theta)=11/61$

Secant is the reciprocal of cosine. So:

$\sec(\theta)=61/11$

Tangent and Cotangent:

We are already given that tangent is:

$\tan(\theta)=60/11$

Cotangent is the reciprocal of tangent. So:

$\cot(\theta)=11/60$

4 0

4 years ago

The distance between Cincinnati, OH and Charlotte, North Carolina is about 336 miles. The distance between Cincinnati and Chicag

ElenaW [278]

Cincinnati Ohio à Charlote North CA = a total of 336 miles
Cincinnati à Chicago Illinois = a total of 247 miles
Perry drove from Charlote to Chicago by passing Cincinati. Find the distance she drove.
=> Note that the distance from charlotte to Cincinnati is 365 then from Cincinnati to Chicago is 247
=> 336 miles + 247 Miles
=> 583 miles
Penny drove for a total of 583 miles from Charlotte to Cincinnati to Chicago.

3 0

3 years ago

Find the surface area of the triangular prism below?

aleksley [76]

Answer:

10 divided by 3 = 3.33 for each side of the triangle.

2 x 6 = 12(area of two triangles)

10(height) x 3.33(area of one side of the triangle) x 3(three rectangles) = 99.9

Add given areas:

99.9 + 12 = 111.9 rounded = 112 cm^2

Please wait for more responses to be sure, thank you.

4 0

3 years ago

Find 4% of 25. please show work

sattari [20]

Multiply 25 by .04 (change percent to decimal by moving the decimal two places to the right) You will get one. So four percent of 25 is one.

25x.04=1

3 0

3 years ago

PLS HELP

Ymorist [56]

Answer:

Step-by-step explanation:

Slope intercept form is: y=mx+b

b is your y-intercept

5 0

3 years ago