Answer:
x = 3
Step-by-step explanation:
cambia los signos : x - 2x-1=8-3x-3
like terms : -x-1=5-3x
variable: -x+3x=5+1 --> 2x=6
dividir: x=3
Answer:
x = 8/7
Step-by-step explanation:
log (X + 8) = log x + log 8
We know that log a + log b = log ab
log (X + 8) = log 8x
Raise each side to base 10
10^log (X + 8) = 10^log 8x
x+8 = 8x
Subtract x from each side
x+8-x = 8x-x
8 = 7x
Divide by 7
8/7 = 7x/7
8/7 =x
Top triangle: if the know angle measures are 90 and 55 and there are a total of 180, 90 + 55 + a = 180. This means that angle a = 35°
Bottom triangle: if a is 35, the angle connected to it is 35 because they are vertical angles. The angles of this triangle are 35 + 120 + b = 180. Angle b = 25°
Answer:
.2 mph
Step-by-step explanation:
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
