Hey!
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Part A:
h - 40
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Part B:
40 - 40 = 0 overtime hours.
44 - 40 = 4 overtime hours.
48 - 40 = 8 overtime hours.
52 - 40 = 12 overtime hours.
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Hope This Helped! Good Luck!
Answer:
x = 4, y = 2
Step-by-step explanation:
Start by multiplying the first equation by 2:
2x + 2y = 12 --> 4x + 4y = 24
Subtract the second from the first:
4x + 4y = 24
- 5x + 4y = 28
4x - 5x = -x
4y = 4y = 0
24 - 28 = -4
so you end with -x + 0 = -4
Solve for x to get x = 4
Plug x = 4 back into 2x + 2y = 12 to find y.
2(4) + 2y = 12
8 + 2y = 12
2y = 4
y = 2
Answer:
1. 30
2. 150
Step-by-step explanation:
![3tan^2(x)-1 =0](https://tex.z-dn.net/?f=3tan%5E2%28x%29-1%20%3D0)
Lets assume tan(x) = u
![3u^2(x)-1 =0](https://tex.z-dn.net/?f=3u%5E2%28x%29-1%20%3D0)
Now we solve for 'u'
add 1 on both sides
, divide both sides by 3
![u^2 = \frac{1}{3}](https://tex.z-dn.net/?f=u%5E2%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
Take square root on both sides
![u = +-\frac{1}{\sqrt{3} }](https://tex.z-dn.net/?f=u%20%3D%20%2B-%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D)
We replace tan(x) for 'u'
x = 30 because
in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because
in second quadrant
tan is negative in second quadrant
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.