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nataly862011 [7]
3 years ago
13

Help me please asap I need to know fully how to solve this problem

Mathematics
1 answer:
vivado [14]3 years ago
7 0
Consider the absolute value, because we only worry about the quadrant later.

\text{Consider: } sin(A) = |-\frac{\sqrt{3}}{4}|
sin(A) = \frac{\sqrt{3}}{4}

Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.

The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13

\therefore tan(A) = \pm \sqrt{\frac{3}{13}}

Since angle A is in the third quadrant, the tangent function will produce a positive angle.

tan(A) = \sqrt{\frac{3}{13}}
\text{Rationalise the denominator: } \frac{\sqrt{3}}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}

tan(A) = \frac{\sqrt{39}}{13}
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I like pikachu. I don't know how to do te rest though

Step-by-step explanation:

7 0
3 years ago
X-7=13answer and how to solve?
Ahat [919]
X-7=13
move -7 to the right side of the equation, change the sign from negative to positive when you move it
x-7+7=13+7
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4 0
3 years ago
(50 pts) Find the odds in favor of rolling two consecutive odd numbers when a pair of dice is rolled.
Verdich [7]

Answer:

<h3>1/4</h3>

Step-by-step explanation:

Rolling two consecutive odd numbers when a pair of dice is rolled.

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3/6 = 1/2

The dice is rolled twice.

1/2 × 1/2 = 1/4

3 0
3 years ago
Read 2 more answers
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and
asambeis [7]

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

6 0
3 years ago
The graph of g(x)=(0.5)x+4 is shown. Which equation is an asymptote of this function? y = 0 y = 4 x = 4 x = 0
Alexandra [31]

we are given

g(x)=(0.5)^x+4

we can see that

there is no value of x for which g(x) is not defined

so, no vertical asymptote exists

now, we will find horizontal asymptote

\lim_{x \to \infty} g(x)= \lim_{x \to \infty}((0.5)^x+4 )

\lim_{x \to \infty} g(x)= (\lim_{x \to \infty} (0.5)^x+\lim_{x \to \infty} 4 )

\lim_{x \to \infty} g(x)= 0+4

so, we get

horizontal asymptote as

y= 4............Answer

3 0
3 years ago
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