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patriot [66]
2 years ago
9

All absolute value equations have how many solutions ?​

Mathematics
1 answer:
Alchen [17]2 years ago
5 0

Answer:

is there a picture or a link or anything??

Step-by-step explanation:

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Please help don't guess
12345 [234]

So, just divide:

52.50 / 6 = 8.75

This means that she earns $8.75 an hour.

If this is her hourly salary, then multiply 8.75 x 11

8.75 x 11 = 96.25

So, if Paula works for 11 hours,  she will earn $96.25!


3 0
3 years ago
Read 2 more answers
Choose the appropriate test for the following situation. A company has instituted a new work policy that it hopes will reduce th
Lady bird [3.3K]

Answer:

i think it is a

Step-by-step explanation:

5 0
3 years ago
If sinA+cosecA=3 find the value of sin2A+cosec2A​
Irina18 [472]

Answer:

\sin 2A + \csc 2A = 2.122

Step-by-step explanation:

Let f(A) = \sin A + \csc A, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

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

\sin^{2}A +\cos^{2}A = 1 (2)

Now we perform the operations: f(A) = 3

\sin A + \csc A = 3

\sin A + \frac{1}{\sin A} = 3

\sin ^{2}A + 1 = 3\cdot \sin A

\sin^{2}A -3\cdot \sin A +1 = 0 (3)

By the quadratic formula, we find the following solutions:

\sin A_{1} \approx 2.618 and \sin A_{2} \approx 0.382

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

\sin A \approx 0.382

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

A \approx 22.457^{\circ}

Then, the values of the cosine associated with that angle is:

\cos A \approx 0.924

Now, we have that f(A) = \sin 2A +\csc2A, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

\sin 2A = 2\cdot \sin A\cdot \cos A (4)

\csc 2A = \frac{1}{\sin 2A} (5)

f(A) = \sin 2A + \csc 2A

f(A) = \sin 2A +  \frac{1}{\sin 2A}

f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}

f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}

If we know that \sin A \approx 0.382 and \cos A \approx 0.924, then the value of the function is:

f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}

f(A) = 2.122

8 0
3 years ago
What is the slope of the line that passes through these two points (8, 4) and (5, 3)?
strojnjashka [21]

Answer: 3

Step-by-step explanation:

8-5= 3.

4-3=1

so it’s 3/1 or 3

3 0
2 years ago
The Fun Guys game rental store charges an annual fee of $10 plus $6.50 per game rented. The Game Bank charges an annual fee of $
Leni [432]

Step-by-step explanation:

solve it through simultaneous equations

for fun guys : 10+6.5x=y

for game bank : 22+3.5x=y

10+6.5x=22+3.5x

3x=12

x=4

cost is same when game rentals =4

that cost= $36

7 0
3 years ago
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