Answer:
B grade
Step-by-step explanation:
75 + 90 + 88 + 86 = 339
339/4 = 84.75
Grade B = 80-89%
Answer:
The length of the missing leg is six
Step-by-step explanation:
Assuming that this is a right triangle, you can use the Pythagoras theorem
12^2+x^2=sqrt180^2
144+x^2=180
x^2=36
x=6
Therefore, the length of the missing leg is six.
Answer:
1595 ft^2
Step-by-step explanation:
The answer is obtained by adding the areas of sectors of several circles.
1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.
2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.
3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.
The area is the sum of the areas described above in numbers 1., 2., and 3.
total area = area 1 + area 2 + area 3
area of circle = (pi)r^2
total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2
total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2
total area = 1595.34 ft^2
Answer:
y^2 +8y + 16
Step-by-step explanation:
6y^2 +2y +5 - (5y^2 -6y -11)
I distribute the minus sign
6y^2 +2y +5 - 5y^2 +6y +11
Then I put them vertical.
6y^2 +2y +5
-5y^2 +6y +11
------------------------
y^2 +8y + 16
This is in standard from since the exponential decreases.
7000 more than 5500 by 7000-5500=1500
So the percent more=
×100
=
%
