Answer:
m = -5
Step-by-step explanation:
Step 1 :
Pulling out like terms/ factors
Add 5 to both sides of the equation :
-m = 5
Multiply both sides of the equation by (-1) : m = -5
<em><u>Hope this helps.</u></em>
(3*36 inches) + 12 inches = 120 inches. So no, 100 inches is not greater than 3 yards and a foot.
<h2>
Answer:</h2>
First, we need to use <u><em>slope formula*</em></u> to find the slope.
Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.
Here is what we have so far:
I'm going to use this point:
Here is how to find <em>b</em>:
Finally, we put all of it together and we have our equation.
*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>
**Slope-intercept form: <em>y = mx + b</em>
<em></em>
Answer:
The angle of elevation of the sun is 33.7⁰
Step-by-step explanation:
let the height of the tree, T = 10 foot
length of the shadow created by the tree, B = 15 feet long
Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.
Let the remaining side, hypotenuse, L = ?
Apply Pythagoras theorem;
L ² = T² + B²
L ² = 10² + 15²
L ² = 325
L = √325
L = 18.03 ft
The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.
Let the angle of elevation = θ
tan θ = opp / adj
tan θ = 10 / 15
tan θ = 0.66667
θ = tan ⁻¹ (0.66667)
θ = 33.7⁰
Therefore, the angle of elevation of the sun is 33.7⁰
