Answer:
x = 56.7
Step-by-step explanation:
cos theta = adjacent/hypotenuse
cos x = 17/31
x = arccos(17/31)
x = 56.7
Answer:
k=2 k=-8
Step-by-step explanation:
Answer:
y=-2x+160
Step by Step:
The equation of a line can be determined using the point slope formula:
y-y1=m (x-x1)
To make a substitution, we must ensure we have the correct information. The question gives:
y1=60
x1=50
y=1/2x+10 This is the formula of a line that is perpendicular to the one we are trying to find.
It tells us that the gradient of the perpendicular line is 1/2. The gradient of the line we are trying to find can be found using m1×m2=-1 because we know that when lines are perpendicular, the product of their gradients must equal 1
So if we replace m1 with 1/2
1/2×m2=-1
m2=-2
We now have all the relevant information to make a substitution:
y-60=-2 (x-50)
expand brackets
y-60=-2x+100
rearrange to get in the form y=mx+b
y=-2x+160
Answer:B half of the circumference
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assuming that the beginning equation is 
First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator
Now, we can multiply each side by 60, which will remove the fractions
Now we can add 12 to each side
Now subtract 20x from each side
And lastly, divide each side by 10
