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LenKa [72]
3 years ago
12

Algebra 2: PLEASE HELP ME!!

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Looks more like Trig than Algebra II

They want us to apply the sum angle formula to \sin(x + \frac{5 \pi}{6})

5π/6 is 150°; I find it easier to think in degrees.

When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.

The sine sum angle formula is

\sin(a+b) = \sin a \cos b + \cos a \sin b

\sin(x+\frac{5\pi}{6}) = \sin x  \cos \frac{5\pi}{6} + \cos x \sin \frac{5\pi}{6}

We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2

\sin(x+\frac{5\pi}{6}) = \frac 3 5  (- \sqrt{3}/2)  + \frac 4 5 (1/2)

\sin(x+\frac{5\pi}{6}) = \dfrac{ 4- 3\sqrt{3}}{10}

Third choice

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5/2x+1 + 8/2x+1, x≠-1/2
svet-max [94.6K]

\frac{5}{2x + 1} +\frac{8}{2x + 1}

= \frac{5 + 8}{2x + 1}

= \frac{13}{2x + 1}

3 0
2 years ago
There are six balls in the bag. Two are basketballs, three are playground balls, and one is a soccer ball. What is the probabili
aleksandr82 [10.1K]

Answer:

\frac{1}{6}=0.16

Step-by-step explanation:

Given : There are six balls in bag

             Basketballs=2

             Playground balls =3

             Soccer ball =1

To Find : the probability that if you pick one of the balls without looking, it will be a soccer ball

Solution :

Total no. of balls = 6

No. of soccer balls = 1

Probability = favorable outcomes / total outcomes

Since total outcomes = total no. of balls =6

And favorable outcome = no. of soccer balls = 1

Thus , Probability of getting soccer ball = \frac{1}{6}

Hence the probability that if you pick one of the balls without looking, it will be a soccer ball:

\frac{1}{6}=0.16



7 0
3 years ago
What is the value of 324 + 435 + 546 when written in base 7?
Arada [10]
<span>The sum of 324, 435, and 546 is 1305. If this number were to be expressed by the base of 7, we would need to figure out what value of exponent would satisfy the requirement. This can be done by setting up an equation where 7 to the power of x must equal 1305. Using logarithms, one can solve for x and find it to be 3.6866853. Thus the sum of the aforementioned numbers, expressed in by the base of 7, is 7^3.6866853.</span>
6 0
3 years ago
2x
laiz [17]

Answer:

7

Step-by-step explanation:

2x² - 28x + 98 = 0

x² - 14x + 49 = 0

(x - 7)² = 0

x = 7

3 0
3 years ago
Please answer this quickly ​
PtichkaEL [24]

Answer:

26.85in

Step-by-step explanation

7 plus 7 plus plus 5 equals 19 plus the semi circle of 7.85

4 0
3 years ago
Read 2 more answers
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