<h3>
Answer: Approximately 56 inches</h3>
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Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
Answer:
A point and line is used to define a ray.
Answer:
X=51/7, Y= -36/7
Step-by-step explanation:
X/3 + 2y/3 = -1 equ 1
X - y/3 = 9 equ 2
eliminate X/3.
X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )
X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )
X/3 + 2y/3 = - 1 equ 3
-
X/3 - y/9 = 3 equ 4
0 + 7y/9 = -4
y = -36/7
( input the value of y into equ 4 )
X/3 -y/9 = 3
X/3 - (-36/7)/9 = 3
X/3 + 36/63 = 3
X/3 = 3 - 36/63
X/3 = 153/63
63X = 459
X = 459/63
X = 51/7.
Answer:
24m - 28
Step-by-step explanation:
Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;
A(B+C) = AB + AC [A is distributed over B and C]
For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;
(6m−7)⋅4 = 4(6m) - 4(7)
(6m−7)⋅4 = 24m - 28
Hence (6m−7)⋅4 = 24m - 28
Let the measure of the unknown angle is x °
Supplementary angles sum up to 180°. So the supplementary angle of x° will be (180 - x)°
According to the given data, measure of x is 40° less than 3 times the measure of its supplementary angle (180 - x). So we can set up the equation for this scenario as:
So the degree measure of the required angle is 125°.
