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liq [111]
3 years ago
7

Find the value of the trig functions indicated

Mathematics
1 answer:
Naddik [55]3 years ago
6 0

Answer:

D. ⅘

Step-by-step explanation:

According to the acronym for trig ratio, SOHCAHTOA, we know that:

sin (\theta) = \frac{opposite}{hypotenuse}

In the triangle given,

Opposite = √(20² - 12²) = √256 = 16

Hypotenuse = 20

Thus:

sin (\theta) = \frac{16}{20}

Simplify

sin (\theta) = \frac{4}{5}

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Given the binomials (x + 1), (x + 4), (x - 5), and (x - 2), which one is a factor of f(x) = 3x^3 - 12x^2 - 4x - 55?
bekas [8.4K]
If (x-a) is the factor of f(x) then,
f(a)=0 and vice-versa
or,3x³-12x²-4x-55=0 .. .eqn(1)
Compare (x-a) with the binomials (x + 1), (x + 4), (x - 5), and (x - 2).....then
CHECK f(a)=0 by putting a=-1,-4,5,2 then
we get
f(-1)=3×(-1)³-12×(-1)²-4×(-1)-55=-66
f(-4)=............................,..............=other value than 0
f(5)= 3×(5)³-12×(5)²-4×(5)-55=0 (satisfies eqn1)
f(2)=...............=other value than 0(checkyourself)
Here, only f(5)=0
the factor of f(x)=(x-5)
4 0
4 years ago
The scatter plot shows the study times and test scores for a number of students. How long did the person who scored 81 study?
Free_Kalibri [48]

Answer: Option A

50 minutes

Step-by-step explanation:

Observe in the diagram that the vertical axis represents the score obtained and the horizontal axis represents the study time.

To find out how many hours the person with a score of 81 studied, locate the point that is at a vertical distance of 81.

Now draw a vertical line from this point to the horizontal axis. Note that the vertical line traced intercepts the vertical axis at x= 50

Then the person who got a score of 81 studied 50 minutes

The answer is the option A

6 0
3 years ago
What is the square root of -1?
solmaris [256]

\sqrt{-1}  = i

However, in Real Number System, you can't find the value of square root of negative numbers. The above one is the imaginary number.

3 0
3 years ago
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What is the change from -9 to -1?.
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Step-by-step explanation:

Since they're both negative numbers and it went from -9 to -1, you had to have added a positive number to get a lesser negative number. To put it simply, if you were to subtract 8 from 9, you'd get 1.

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3 years ago
What’s the answer smh
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Step-by-step explanation:

no.C I think?............

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