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klemol [59]
2 years ago
5

For an angle θ, tan(θ) is a negative number. Which quadrants might θ be in?

Mathematics
2 answers:
Norma-Jean [14]2 years ago
6 0

θ will be in <u>quadrants II and IV</u> for an angle θ, tan(θ) is a negative number.

Hope it helps.

Klio2033 [76]2 years ago
4 0

So for this question, we're asked to find the quadrant in which the angle of data lies and were given to conditions were given. Sign of data is less than zero, and we're given that tangent of data is also less than zero. Now I have an acronym to remember which Trig functions air positive in each quadrant. . And in the first quadrant we have that all the trig functions are positive. In the second quadrant, we have that sign and co seeking are positive. And the third quadrant we have tangent and co tangent are positive. And in the final quadrant, Fourth Quadrant we have co sign and seeking are positive. So our first condition says the sign of data is less than zero. Of course, that means it's negative, so it cannot be quadrant one or quadrant two. It can't be those because here in Quadrant one, we have that all the trick functions air positive and the second quadrant we have that sign. If data is a positive, so we're between Squadron three and quadrant four now. The second condition says the tangent of data is also less than zero now in Quadrant three. We have that tangent of data is positive, so it cannot be quadrant three, so our r final answer is quadrant four, where co sign and seek in are positive.  

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3x + 5y = 78
zysi [14]
Hello here is a solution :
<span>3x + 5y = 78 .... (1)
2x - y = 0 ... (2)
from (2) : y = 2x
in (1) : 3x+5(2x) =78
            13x = 78
x= 6
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3 years ago
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Which property justifies rewriting the equation 1/6 x 6 + z = 8 as 1 + z = 8?
VLD [36.1K]

Answer:

I think it's additive identity property

5 0
2 years ago
1. Find the area and perimeter of the triangle.<br> 16 cm<br> 20.9 am<br> 27 cm
Andrei [34K]

Answer:

Perimeter = 63.9 cm.

Area = 166.96 cm^2 to the nearest hundredth.

Step-by-step explanation:

The perimeter = 16+20.9+27 = 63.9 cm.

To find the area you can use Heron's Formula.

Area = √ [ s(s-a)(s-b)(s-c)]  where  s = the semi-perimeter and a, b and c are the lengths of the 3 sides.

s = 63.9 / 2 =  31.95.

Area of the triangle = √ (31.95(31.95-16)(31.95-20.9)(31.95-27)]

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7 0
3 years ago
ACT mathematics score for a particular year are normally distributed with a mean of 27 and a standard deviation of 2 points
oksano4ka [1.4K]

Answer:

A) the probability that a randomly selected score is greater than 29 points is 0.1587

B) The percentage of students scores are between 31 and 23 is 95.44%

C) A student who scores 31 is in the 97.72% percentile

Step-by-step explanation:

ACT mathematics score for a particular year are normally distributed with a mean of 27 and a standard deviation of 2 points.

Part A: What is the probability that a randomly selected score is greater than 29 points?

Part B: What percentage of students scores are between 31 and 23?  

Part C: A student who scores 31 is in the ______ percentile.

A) Given that:

Mean (m) = 27 and standard deviation (s) = 2 points

Since the ACT mathematics score is normally distributed, we can use z score. To calculate Z score we use the equation:

Z=\frac{x-m}{s}

substituting values:

Z=\frac{x-m}{s}==\frac{29-27}{2}=1\\Z=1\\

P(X > 29) = P(Z > 1) = 1 - P(Z<1)

Using Z tables

P(X > 29) = P(Z > 1) = 1 - P(Z<1) = 1 - 0.8413 = 0.1587 = 15.87%

P(X > 29) = 0.1587

the probability that a randomly selected score is greater than 29 points is 0.1587

B) For score of 31

Z=\frac{x-m}{s}==\frac{31-27}{2}=2\\Z=2\\

For score of 23

Z=\frac{x-m}{s}==\frac{23-27}{2}=-2\\Z=-2\\

P(23 < X < 31) = P(-2 < Z < 2) = P(Z < 2) - P(Z < -2) = 0.9772 -  0.0228 = 0.9544

P(23 < X < 31) = 0.9544 = 95.44%

The percentage of students scores are between 31 and 23 is 95.44%

C) For score of 31

Z=\frac{x-m}{s}==\frac{31-27}{2}=2\\Z=2\\

P(X < 31) = P(Z < 2) = 0.9772 = 97.72%

A student who scores 31 is in the 97.72% percentile

3 0
3 years ago
Ms. Pryce has 82 books. She puts 10 of them in her desk. The rest will go in her bookcases.
WARRIOR [948]

Answer:

12 books per shelf

Step-by-step explanation:

She has 82 books and ten of them go to her desk. So she has 72 books left to to put on her shelves. There are a total of 6 selves.

So (72 books) / (6 shelves) = 12 books per shelves.

General equation:

{(total number of books) - (books go to her desk) ] / (total number of shelves)

s = number of books on shelves

t = total number of books

d = books on desk

x = number of selves

s = (t-d) / x

8 0
2 years ago
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