Answer:
n = 5
Step-by-step explanation:
Since this is a right triangle, we can use trig
tan theta = opp /adj
tan 30 = n / 5 sqrt(3)
5 sqrt(3) tan 30 = n
5 sqrt(3) * 1/ sqrt(3) = n
5 = n
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
D because a straight line is 180 degrees. Since 2x+15 and 65 add up to a straight line (180 degrees) in the picture, the answer is D.
The equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D
<h3>How to determine the equation</h3>
Let the number of rows be x
Number of cars in each row = x - 6 = 56
Number of rows for parking lot = 2x
Then,
Number of cars for new parking lot = 2x ( x - 6 = 56)
Expand the expression,
2 ( x - 6 = 56)
2x² - 12x = 112
Thus, the equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D
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Answer:
35.991
Step-by-step explanation: