Answer:
1. Use a compass to make arc marks which intersect above and below then connect.
2. 
Step-by-step explanation:
1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.
2. The point slope form of a line is 
where 
. We write
Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.
Simplify for slope intercept form.
It will be c- 20:
4q and 2(q+30) have to equal the same therefore q=30 which makes both these equations equal.
3p + 4q then have to equal 180 as they are on a straight line so you know q=30 so 4x30=120 so 180-120=60
Then 60/3=20 and that is your answer.
Hope this helps :)
Answer:
Step-by-step explanation:
Calculate z-score firstly
z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1
P( x greater than or equal to 2.75) = P(z greater than or equal to 1)
= 1 - p(z <1)
P(z<1) from table = 0.84134
1-p(z<1) = 0.15866 or 15.866%
Answer:
180 tablespoons
Step-by-step explanation:
240×.25=60
240-60=180
Answer:
66.3 sq ft
Step-by-step explanation:
Here's the plan: we'll find the area of the circle then subtract the area of the triangle.
Area of circle:
A = pi•r^2
= pi•6^2
= 3.14•36
~= 113.04
Area of triangle:
A = 1/2bh
= 1/2(10.39)(9)
The height is the 6+3 in the image.
~= 46.755
Subtract to find
Area of Shaded:
113.04 - 46.755
= 66.285
Round to nearest tenth.
~= 66.3 sq ft
