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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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Second derivative test for:<br> y= e^x (x^2 -7x +13)
garik1379 [7]
First derivative is e^x(x^2-7x+13)+e^x(2x-7)
Which can be simplified to e^x(x^2-7x+13+2x-7)
Second derivative is e^x(x^2-5x+6)+e^x(2x-5)
Which then can be simplified to e^x(x^2-3x+1)
4 0
3 years ago
The total length of the stage is 76 feet. If the trap doors are centered across the stage, what is the distance from the left si
Luden [163]

since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)

 the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet

 now subtract the 13 1/4 from 38

38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door


 a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2

76-26 1/2 = 49 1/2 / 2 = 24 3/4

8 0
3 years ago
What is an expression that is four times as large as 52 minus 9.
Rina8888 [55]

Answer:

4(52-9)

4(43)

172

Please mark as brainliest! Good Luck! :D

5 0
3 years ago
Read 2 more answers
Classify each triangle by its angles and sides.<br><br>ABE<br><br>BEC<br><br>DEF<br><br>CDF​
lapo4ka [179]

Answer:

scalene right

isosceles obtuse

equilateral equilateral

scalene acute

7 0
2 years ago
What is the value of n? n–2=10n+4/2 n =
slamgirl [31]

simplify


n-2 = 10n/2 + 4/2


n-2 = 5n + 2


subtract 5n to both sides


n - 2 - 5n = 5n + 2 - 5n


simplify


-4n - 2 = 2


add 2 to both sides


-4n - 2 + 2 = 2 + 2


simplify


-4n = 4


divide both sides by -4


-4n/-4 = 4/-4


simplify


n = -1




                             hope it helps



8 0
3 years ago
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