Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.
Step-by-step explanation:
<span>We know Sin theta is given by Perpendicular/ hypotenuse.
Hence in this case the angle given is 30 degree and hypotenuse is given as 10 foot.
Hence Sin 30= P/ 10
1/2= P/10
Hence on solving value of P is 5.
Now we have to compute the theta value for Perpendicular as 5 and now the height of ramp is increased to 15 foot, hence hypotenuse is now 15 foot.
Hence Sin theta= 5/15
On taking inverse of Sin Theta we will get the theta value as 19.47.
Hence the angle of ramp should is 19.47 degrees.</span>
Answer:
Confidence interval = 48±4
Step-by-step explanation:
Given:
Mean X = 48
Standard deviation sd = 14.1
Computation:
Z table value of 90% = 1.645
Total number n = 33
Computation:
Margin of error M.E = Z[sd/√n]
Margin of error M.E = 4 approx.
Confidence interval = 48±4
Answer:
80
Step-by-step explanation:
Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720
Since this looks like a regular hexagon each interior angle =720/6=120
Hence the inside angle touching the line is 120 (inside the hexagon)
Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,
Then y= 180-20=160
Then x=360-(160+120)=80 because sum of all angles round a point=360
Answer: y-1=6(x+7)
Step-by-step explanation:
The formula for point-slope form is 
. Since we are given the point and slope, we can directly plug them in.
[distribute by -1]
Now, we know that the point-slope form is y-1=6(x+7).
