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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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A student concludes that for all values of x,x^2+x+1 produces a prime number. Which value of x serves as counterexample to prove
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Answer:

j

Step-by-step explanation:

Substitute the given values into x² + x + 1 and check if result is prime

x = - 4

(- 4)² - 4 + 1 = 16 - 4 + 1 = 13 ← prime

(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime

(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime

4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime

x = 4 serves as a counterexample to disprove this conclusion

5 0
2 years ago
Hey can someone help me please ?
damaskus [11]
I think I'm not sure but I think it's B
5 0
3 years ago
Graph linear equation y = x divided by 3
gizmo_the_mogwai [7]

Answer:

1/3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

I used desmos.

3 0
3 years ago
Give a rule of the​ piecewise-defined function. Give the domain and the range.
dimulka [17.4K]

Answer:

Hello your question is incomplete below is the complete question

option B is correct  

f(x) = 1 if x ≤ 0

       -2 if x > 0

Step-by-step explanation:

The Rule of the piece-wise-defined function is :

from the given figure attached it can be seen that as : x ≤ 0 , y = 1

while for x > 0 , y = -2

therefore option B is correct  

f(x) = 1 if x ≤ 0

       -2 if x > 0

3 0
3 years ago
This is in my homework paper 5300 divided by 10 to the second
VARVARA [1.3K]
5300\div 10^2\\5300\div100\\\boxed{53}
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