For this case we can model the problem as a rectangle triangle.
We have the angle between the base and the hypotenuse of the triangle.
We have the height of the triangle.
We want to calculate the base of the triangle.
For this, we use the following trigonometric relationship:
Clearing x we have:
Answer:
the shortest horizontal distance that the ramp can span is:
x = 24.02 feet
The cost of the mp3 player after the discount is $27.98.
<h3>
What is percentage?</h3>
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100.
Given
An mp3 player is on sale for 30% off the regular price of $39. 98.
The price of the mp3 player after the 30% is given
The cost of mp3 player after 30% discount is;
= $39.98 - $11.99 = $27.98
Hence, the cost of the mp3 player after the discount is $27.98.
To know more about percentage click the link givem below.
brainly.com/question/9776399
1. Simplify the expression
Combine like terms:
3/4(8x-12)=2(4x+1)-4
6x-9=2(4x+1)-4
6x-9=8 x-2
2. Group all X terms on the left side of the equation
Subtract 8X from both sides:
6x-9=8 x-2
(6x-9)-8x=(8x-2)-8x
-2x-9=(8x-2)-8x
-2x-9=-2
Group all constants on the right side of the equation
Add 9 to both sides of the equation:
-2x-9=-2
(-2x-9)+9=-2+9
-2x=-2+9
-2x=7
Isolate the X
Divide both sides of the equation by -2:
-2x=7
(-2x) 7
——- = —
-2 -2
X= 7
—
-2
X= -7
—
2
Area of a triangle is A = (1/2) (b) (h). Here we are given A and b and need to find h.
A = 24 ft^2 = (1/2) (4 ft) (height)
24 = 2(height) => height is 12 ft (answer)
