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3 years ago

Which of the following is true?

2 answers:

5 0

Cosine is negative in Quadrant III. An easy way to remember the signs of the functions is ASTC or All Students Take Calculus. A: All functions are positive in quadrant I. S: Sine is positive in quadrant II. T: Tangent is positive in quadrant III. C: Cosine is positive in quadrant IV.

lukranit [14]3 years ago

5 0

Answer: The true statements are (C) Cosine is negative in Quadrant III.

Step-by-step explanation: We are given to select the correct statement from the given options.

We know that

In Quadrant I - all the trigonometric ratios are positive.

In Quadrant II - Sine is positive, cosine and tangent are negative.

In Quadrant III - Tangent is positive, sine and cosine are negative.

In Quadrant IV - Cosine is positive, Tangent and Sine are negative.

Option (A) is

Tangent is negative in Quadrant I - FALSE, since all the ratios are positive in Quadrant I.

Option (B) is

Sine is negative in Quadrant II - FALSE, since Sine is positive in Quadrant II.

Option (C) is

Cosine is negative in Quadrant III - TRUE, since Cosine is negative in Quadrant III.

Option (D) is

Sine is positive in Quadrant IV - FALSE, since Sine is negative in Quadrant IV.

Thus, (C) is the correct statement.

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Find the value of x. The diagram is not to scale.

DiKsa [7]

Sum of interior angles in a pentagon=540°

148+112+2x+2x+10+90=540

360+4x=540

4x=540-360

4x=180

x=180/4

x=45°

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3 years ago

I don't understand this question at all please help if you do

lorasvet [3.4K]

Answer:

Answer is $\frac{4}{3}$

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

$-x^2+2x=y,y=0$

$-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2$

$\int\limits^2_0 {-x^2+2x} \, dx$

Integrate.

$\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3$

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

7 0

2 years ago

Given any two numbers, which is greater, the lowest common multiple of the numbers or the greatest common multiple?

tester [92]

After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3's, and 21 has one 7, so we multiply 3 two times, and 7 once.

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3 years ago

Sales of 10000 increased by 65% each year write a function that represents the situation

erastovalidia [21]

Answer: $y=10000(1.65)^x$