Answer:
See below
Step-by-step explanation:
When you have 2 sides and the angle between them you use the cosine theorem or law of cosines:
After you have a side and the opposed angle (side b and angle B), you use the law of sines:
I will calculate angle A first:
![[tex]\frac{27.5}{sin36} =\frac{41}{sinA} \\sinA =\frac{41}{27.5} sin36 \\sin A = 0.876 \\A = 61.2\°](https://tex.z-dn.net/?f=%5Btex%5D%5Cfrac%7B27.5%7D%7Bsin36%7D%20%3D%5Cfrac%7B41%7D%7BsinA%7D%20%5C%5CsinA%20%3D%5Cfrac%7B41%7D%7B27.5%7D%20sin36%20%5C%5Csin%20A%20%3D%200.876%20%5C%5CA%20%3D%2061.2%5C%C2%B0)
[/tex]
Same for angle C:
The sum of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum must be 180° so this isnt a triangle.
I re did the problem using B as 63° instead of 36° in case you wrote it wrong and I got a satisfactory answer.
using B = 36:
b = 36.6
angle A = 86.4°
angle C = 29.1°
A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°
Rigid transformation preserves both the side lengths and angle measures of a polygon.
Answer: does not make sense.
The statement " t<span>he beach ball we played with has a density of 10 grams per cubic centimeter" does not make sense.
Reasoning.
Inflated beach balls have a very low density, they are pretty much only air, plus the weight of the ball per se. Certainly that density is much lower than the density of water.
Inflated beach balls fall slowly in the air because their density is very close to the density of air and float on water because their density is less than the density of water.
Being the density of pure water 1 g/cm^3 you can predict, without any calculation, that the density of the beach ball is less than that and never 10 g/cm^3 which is 10 times the density of pure water.
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An=A1+(n-1)d
-20=A1+(15-1)x-7
-20=A1+14 x -7
-20=A1-98
+98 +98
-98+98=0
-20+98=78
A1=78
Answer:
x = 12
Step-by-step explanation:
Given
2(x - 3) = 9 + 3(x - 9) ← distribute parenthesis on both sides
2x - 6 = 9 + 3x - 27, that is
2x - 6 = 3x - 18 ( subtract 3x from both sides )
- x - 6 = - 18 ( add 6 to both sides )
- x = - 12 ( multiply both sides by - 1 ), thus
x = 12
