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KIM [24]
2 years ago
8

The statement tan theta -12/5, csc theta -13/12, and the terminal point determined by theta is in quadrant 2."

Mathematics
2 answers:
ZanzabumX [31]2 years ago
6 0

Answer is C. This is because in quadrant 2, \sin\theta>0 so \csc\theta>0 is also true.

IrinaK [193]2 years ago
3 0

Answer with explanation:

Let , Theta =A

\tan A=\frac{-12}{5}\\\\ \csc A=\frac{-13}{12}

In First Quadrant all Trigonometric Function are Positive.

→In Quadrant,II , Sine and Cosecant , Function are Positive only.

→Cosecant theta is negative.So, Terminal point can't be in Second Quadrant.

Option C:

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Find the x any y intercepts of each line -4x + y = 10
mote1985 [20]

-4x + y = 10 (subsitute y = 0)

-4x + 0 = 10 (remove 0)

-4x = 10 (divide both sides)

so solution is x = -5/2

6 0
2 years ago
Please Help!<br><br>Which equation can be used to solve for b?<br>​
Zanzabum

Answer:

tan (30°) = b/5

Step-by-step explanation:

this is the answer

4 0
2 years ago
Carl scored 32 on the ACT mathematics Test and 730 on the mathematics portion of the SAT. If the ACT Math Test had a mean score
Shtirlitz [24]

Answer:

Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.

Step-by-step explanation:

Z-score

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

On which exam did Carl earn a better score with respect to his peers?

On whichever exam he had the higher z-score.

SAT

Scored 730, mean 516, standard deviation 116. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{730 - 516}{116}

Z = 1.84

ACT

Scored 32, mean 21, standard deviation 5.3. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{32 - 21}{5.3}

Z = 2.08

Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.

4 0
2 years ago
A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea
Levart [38]
Answer:

2,600

Explanation:

Your first step is to find 7% of 4000 ( this is what it is decreasing by per year).
As a result you end up with 280.
Multiply 280 by 5.
1,400 should be your answer( amount of km decreasing after 5 years). This is a decreasing forest, so you subtract 4,000by 1,400.
8 0
2 years ago
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3
Komok [63]
base 16y^2
height y^2 + y + 3
V = b*h
V = 16y^2(y^2 + y + 3)
V = 16y^4 + 16y^3 + 48y^2
Last option
6 0
2 years ago
Read 2 more answers
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