The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14
Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7
Option B:
Solution:
Given sound level = 120 decibel
To find the intensity of a fire alarm:
where 
Step 1: First divide the decibel level by 10.
120 ÷ 10 = 12
Step 2: Use that value in the exponent of the ratio with base 10.
Step 3: Use that power of twelve to find the intensity in Watts per square meter.
Now, do the cross multiplication,
Option B is the correct answer.
Hence .
Answer: 48 cubic units
Step-by-step explanation: length x width x height
8 x 2 x 3 which equals 48
Answer:
7/11
Step-by-step explanation:
This is the only fraction without a 1 in its numerator.
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
