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°
Answer:
3n + 2
Step-by-step explanation:
-n+(-4)-(-4n)+6
= -n -4 +4n +6 [positive plus negative = negative; ∴ +(-4) = -4
=4n - n +6 - 4 negative plus negative = positive; ∴ -(-4n) = 4]
now subtract n from 4n and subtract 4 from 6
=3n + 2
What is the least common denominator for fractions that have denominators of 5x+10 and 25x^2-100
Answer:
The two numbers are <em>32</em> and <em>60</em>.
Step-by-step explanation:
We can create two simultaneous equations to solve this problem using the information given in the question.
Let number 1 = x
Let number 1 = y
x = y - 28 -> ( 1 )
x + y = 92 -> ( 2 )
We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier option.
Substitute ( 1 ) into ( 2 ):
x + y = 92 -> ( 2 )
( y - 28 ) + y = 92
2y - 28 = 92
2y = 120
y = 120 / 2
y = 60 -> ( 3 )
Substitute ( 3 ) into ( 1 ):
x = y - 28 -> ( 1 )
x = ( 60 ) - 28
x = 32
Therefore:
x = 32 , y = 60
