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Bumek [7]
4 years ago
15

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

Mathematics
1 answer:
Harlamova29_29 [7]4 years ago
6 0

Answer:

Answer C:

Cannot be true because csc(\theta)  is greater than zero in quadrant 2.

Step-by-step explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

csc(\theta)=\frac{1}{sin(\theta)}

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because  csc(\theta)  is greater than zero in quadrant 2.

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An empty box weighs 200g the box is filled with birthday party goozy bags and now weighs 6.2kg Each goody bag weighs 150Work out
otez555 [7]
For this case, the first thing we are going to do is define variables.
 We have then:
 x: number of birthday party goozy bags
 y: total weight
 We then have the following equation:
 y = 150x + 200
 For y = 6200 we have:
 6200 = 150x + 200
 Clearing x:
 x = (6200-200) / (150)
 x = 40
 Answer:
 
there are 40 goody bags inside the box
5 0
3 years ago
A real estate agent would like to predict the selling price of a single-family house by predicting the price (in thousands of do
forsale [732]

Answer:

$173493.8

Step-by-step explanation:

Data provided in the question:

LSRL for the data is ? = 3.8785x + 18.3538

Here,

x is area in 100 square feet

and

price in thousands of dollar

Thus,

For the given area 4000 square foot

x = 4000 ÷ 100 = 40                  [Area in 100 square feet]

Therefore,

Using the given equation

Price  = 3.8785(40) + 18.3538

or

Price = 173.4938 in thousands of dollar

or

Price = 173.4938 × $1000

Price = $173493.8

8 0
4 years ago
Solve the equation<br> what does x equal to<br> 46+x÷6−21=25+6
Diano4ka-milaya [45]

Answer:

×=36

Step-by-step explanation:

46+1/6X-21=31

25+1/6X=31

1/6X=31-25

1/6X=6

X=36

7 0
3 years ago
Question
Virty [35]

Answer:

m∠1 = 107 degrees

m∠2 = 73 degrees

Step-by-step explanation:

1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.

2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.

  • 180-107
  • 73

Therefore, m∠2 = 73 degrees.

4 0
3 years ago
Read 2 more answers
Solve Quadratic Equations by Factoring:
mr_godi [17]

Answer:

  1. x = 0 or 1
  2. x = ±i/4
  3. x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

  x(x -1) = 0 . . . . . x = 0 or 1

__

2. 16x^2 +1 = 0

This is the "difference of squares" ...

  (4x)^2 - (i)^2 = 0

  (4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

__

3. x^2 +10x +25 = 0

  (x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

5 0
3 years ago
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