Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
-14.5
Basically, -(7.5+4) is -11.5 and then combine -3 with -11.5 which yields -14.5
Answer:
Last point is at (7,-3)
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.
Use Pythagorean theory
C^2 = a^+ b^2
In this case you have c and a
B^2= c^2-a^2
B^2 = 12^2-5^2
B^2= 144-25
B^2 = 119
Square root both sides
X= 10.90871
