i'm sure it's 208 because i used the area formula
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
Answer: last option. 9.2
Step-by-step explanation:
The pythagoreon theorm tells us, a^2+b^2 = c^2. We can substitute these values, so 7^2 + 6^2 = x^2 => 49+36 = x^2 => root of 85. The root of 85 is 9.219 something so you can round 9.219 to 9.2.
Answer:
36h, 60+16.2h, and $92.40.
Step-by-step explanation:
n(h)=36h because there are 3 dozen cupcakes made per hour, to get C(h) you just plug in 36h in place of n and simplify, and then for the final answer 2 is plugged into the equation from the second answer.
Answer:
∴ opposite side = √108
Step-by-step explanation:
Here hypotenuse = 12 ft
It is a right angled triangle.
here triangle ABC in which ∠ C = 60°
∠B = 90°
so ∠A = 180° -( 90 +60)
= 180 - 150
= 30°
cos 60° = adjacent side ÷ hypotenuse
= x ÷ 12
= 
12 = 2 x
∴ x = 6
adjacent side = 6
hypotenuse ² = adjacent side² + opposite side²
12² = 6² + opposite side²
144 - 36 = opposite side ²
108 = opposite side²
∴ opposite side = √108
