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malfutka [58]
3 years ago
10

(10.02)

Mathematics
1 answer:
ollegr [7]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

C. Cosine is negative in Quadrant III

<h2>Why?</h2>

Let's discard each given option in order to find the correct:

A. Tangent is negative in Quadrant I: It's false, all functions are positive in Quadrant I (0° to 90°).

B. Sine is negative in Quadrant II: It's false, sine is negative in positive in Quadrant II. Sine function is always positive coming from 90° to 180°.

C. Cosine is negative in Quadrant III. It's true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.

D. Sine is positive in Quadrant IV: It's false, sine is negative in Quadrant IV. Only cosine and secant functions are positive in Quadrant IV (270° to 360°)

Have a nice day!

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What is the value of z?
babymother [125]

Answer:

Step-by-step explanation:

<u>Item 1:</u>

Discount = Original price - discount price

             = 22.50 - 13.50

             = $ 9

Discount percentage = \frac{9}{22.50}*100\\\\

                                   = 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = \frac{0.81}{13.50}*100\\\\  = 6%

Tax percentage = 6%

<u>Item 2:</u>

Tax = 6% of 16.20

      = 0.06 * 16.20

      = 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

         x = $ 17.17

<u>Item 3:</u>

Discount  = 40% of 32.50

                        = 0.4 * 32.50

                        = $ 13

y =  32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

       = 0.06 * 19.50

       = 1.17

z = 1.17 + 19.50

Z  =$ 20.67

                   

5 0
2 years ago
Which graph represents the solution to the system of inequalities? x + y ≥ 4 2x + 3y &lt; 12
viktelen [127]
There are two inequality equations to be graphed:

<span>x + y ≥ 4
2x + 3y < 12

For the first step, let's disregard the inequality symbols and take it like any conventional algebraic equation. This is to be able to graph the lines on a Cartesian planes first.

For the first equation, x+y=4. To find the x- and y-intercepts, let the other variable be 0. For example,
x-intercept:
x+0=4
x=4
y-intercept:
0+y=4
y=4
Therefore, you can graph the equation line by plotting the intercepts (4,0) and (0,4) and connecting them together. The same thing is done to the second equation:
x-intercept: 
</span>2x + 0 = 12
x=12/2=6
y-intercept:
0 + 3y =12
y= 12/3 = 4
Therefore, you can graph the equation line by plotting the intercepts (6,0) and (0,4) and connecting them together. The graph is shown in the left side of the picture.

The next step would be testing the inequalities. Let's choose a point that does not coincide with the lines. That point could be (-5,-1). 

x + y ≥ 4
-5 + -1 ≥4
-6 ≥ 4 --> this is not true. Thus, the solution of the graph must not include the area of this point. It includes everything to the right of the line denoted by the blue-shaded region.

2x + 3y < 12
2(-5) + 3(-1) <12
-13 < 12 ---> this is true. Thus, the solution would include this point. That includes all points to the left of the orange line denoted by the orange-shaded the region.

The region where blue and orange overlap is the solution of the system of equations, denoted by the green-shaded region.

3 0
2 years ago
Sid wrote 541,309 on his paper explain how the number would change if he exchanged the digits in the hundred thousands and tens
MArishka [77]
The number would either decrease or increase depending on the ordering of the numbers in the sequence.

Please mark me Brainliest
5 0
3 years ago
Evaluate the log without a calculator ( Show your work )<br><br> <img src="https://tex.z-dn.net/?f=log_%7B2%7D%20%5Csqrt%5B5%5D%
Jobisdone [24]

Answer: x = 1/5

//Hope it helps.

3 0
3 years ago
Read 2 more answers
The number of members divided by 6 is 15.
givi [52]
The answer is 90 because you need to do 6x15 which =90
4 0
3 years ago
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