Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let 
denotes the length of the side opposite to the 
acute angle, and 
be the length of the side next to this acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the acute angle. The answer will be 
.
There's a shortcut to the answer. Notice that 
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship 
holds for all acute angles? (That is, 
?) It turns out that:
Answer:
m<G = 71
Step-by-step explanation:
Find x first
7x + 1 + 6x - 6 + 55 = 180
Combine like terms:
13x + 50 = 180
- 50 - 50
13x = 130
/13 /13
x = 10
Then apply to problem
7 (10) + 1
70 + 1
= 71
Answer:
heres how to solve it
Step-by-step explanation:
Answer:
w = -20
Step-by-step explanation:
-
+ 9 = 13
Shift the (+9) to the other side of the equation. (+9) will turn into (-9).
- = 13 - 9
= 4
Shift the (÷5) to the other side of the equation. (÷5) will turn into (×5).
-w = 4 × 5
= 20
Multiply both sides of the equation by (-1) so that -w will turn into w.
w = (-1) × 20
w = -20
Alright, the first thing we should have to do is find the total cost per year of his insurance. To do that, we multiply $96.21 by the 12 months in a year to get $1154.52. This is the cost of his insurance per year.
Next, we need to find out how much his boss covers, which we know is 85% of the total cost. SO what we can do is multiply the yearly cost ($1154.52) by the percent his boss covers (.85) to get $981.342. This is how much his boss covers per year.
Lastly, to find out how much Derek pays for insurance yearly, we just need to subtract how much his boss pays ($981.342) from the total yearly cost ($1154.52), which leaves us with $173.178, which is how much Derek pays yearly for his insurance, which should be your answer.
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