21 divided 3 = 7
So your hourly wage was $7
Answer: x=4, x=3+4i and x=3-4i
Step-by-step explanation:
1. Factor to get (x-4)(x^2-6x+25)=0
2. zeroes are x=4, x=3+4i and x=3-4i
Answer:
X=15 divided by 2
Step-by-step explanation:
Where X equals 5.
Answer:
27.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relationship between the angle and the relevant sides of the triangle is ...
Cos = Adjacent/Hypotenuse
In this case, the hypotenuse of the triangle is the length along the road; the distance parallel to the ground is the side adjacent to the angle of depression. So, you have ...
cos(angle) = (23 mi)/(26 mi)
angle = arccos(23/26) ≈ 27.8°
The angle of depression is about 27.8°.
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<em>Comment on the road</em>
The grade on such a road is about 53%. A road with an 8% grade for any distance is considered marginally safe for trucks. A 53% grade for 26 miles would wear out the brakes in no time.
The elevation drop on this road is about 12 miles, or more than 64,000 feet. The highest mountain on Earth is less than half that height, so this must be on a different planet.
Answer:
a)
b)
c)
d)
Step-by-step explanation:
We will use the following trigonometric identities
.
Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that
which implies that . Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then
b)Recall that , then using the identity from above, we have that
c) Recall that . Then,
d) Recall that and . Then