Answer:
y = 12x-15
Step-by-step explanation:
The equation of a line is given by :

Where
m is slope and c is y-intecept.
Here, the slope is 12 and y-intercept is -15.
Then the equation is :
y = 12x+(-15)
or
y = 12x-15
Hence, the required equation for the line is "y=12x-15".
We have to represent the fraction
in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore, 
Therefore,
is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore, 
Therefore,
is the second way to represent the given fraction.
Therefore,
and
are the different ways to represent the fraction
.
Question 4 the answer is 30 degrees.
Question 5 the answer is 132 degrees because angles on a straight line equal to 180 so 180-48.
Question 6: 90+25=115, 180-115=65
Question 7: 180-149= 31
We are asked to determine the formula that can be used in solving the surface area of a cylinder given that one end is open while the other end is closed. The answer to this problem is Surface area = 2*pi*r*h or SA = 2pi*rh where "pi" is equivalent to 3.1416, the "r" represents the radius of the cylinder while the "h" represents the height of the cylinder.
<h3>
Answer: 36.9 degrees</h3>
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Work Shown:
I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).
See diagram below.
The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.
sin(angle) = opposite/hypotenuse
sin(theta) = 4.2/7
sin(theta) = 0.6
theta = arcsin(0.6)
theta = 36.869897645844
theta = 36.9
Note: inverse sine or
is the same as arcsine. Make sure your calculator is in degree mode.