Answer:
0
1
Step-by-step explanation:
First question:
You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.
The sine function can never equal 2, so there is no triangle in this case.
Answer: no triangle
Second question:
You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.
One triangle exists for sure. Now we see if there is a second one.
Now we look at the supplement of angle C.
m<C = 52.5°
supplement of angle C: m<C' = 180° - 52.5° = 127.5°
We add the measures of angles B and the supplement of angle C:
m<B + m<C' = 63° + 127.5° = 190.5°
Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.
Answer: one triangle
Answer:
x=12
Step-by-step explanation:
5x+4+64+52=180
We move all terms to the left:
5x+4+64+52-(180)=0
We add all the numbers together, and all the variables
5x-60=0
We move all terms containing x to the left, all other terms to the right
5x=60
x=60/5
x=12
Answer:
d. May
Step-by-step explanation:
Working through the chain, we have ...
Feb = 1.10×Jan
Mar = 0.85×Feb = 0.935×Jan
Apr = 1.20×Mar = 1.122×Jan
May = 0.90×Apr = 1.0098×Jan
Jun = 1.05×May = 1.06029×Jan
The multiplier that is closest to 1 is 1.0098, so May has sales closest to January.
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The percentage increase or decrease can be converted to a multiplier by adding it to 1. If p% is the percentage change, then adding it to an original value looks like ...
original + p% × original = original × (1 +p%) . . . . . . . distributive property
And p% translates to a decimal number by replacing % with /100 or ×0.01.
10% increase: original × (1 + 10/100) = original × 1.10
15% decrease: original × (1 - 15/100) = original × 0.85
<span>I have been a high school/jr high math teacher for the past 13 years. I am happy to explain how to proceed with this problem.
A square is a figure where ALL sides are exactly the same. The find the area of the square you would multiply one side times another side. You would be multiplying a number times itself. So if you already have the area, you would take the square root to find your answer. When you do, you end up with 21.21 square inches rounded to the nearest hundredth.</span>
