Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
In the right triangle ABD
In the right triangle BCD
remember that
m< BAD=m<CBD
therefore
equate the equations
the answer is 95.
Step-by-step explanation:
180-85=95
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
Answer:
The sale price would be $102.50
Step-by-step explanation:
To find this amount, start by multiplying the price by the sale percentage,
$150 * 35% = $47.50
Now subtract that amount from the original.
$150 - $47.50 = $102.50
For this case we have the following solution.
x = gallons of water to be added
For the 10% solution we have:
0.1 * 8 = 0.8
Then, for 5% we have:
(0.8 / x + 8) = 0.05
Rewriting:
(0.8 / x + 8) = (5/100)
Answer:
An equation can be used to find x, the humber of gallons of water he should add is:
(0.8 / x + 8) = (5/100)
