Answer:
(3,2)
Step-by-step explanation:
Answer:
57 square inches
Step-by-step explanation:
First consider that a 45 degree sector of a circle is 45/360 of the area of the full circle from which it is cut. This comes out to 1/8 of the full circle area.
The area of a circle of radius 12" is A = π(12 ")^2, or A = 144π.
The area of the sector in question is 1/8 of that, or
A = (1/8)(144π), or A = 18π square inches, or approximately 57 square inches.
Answer:
The number of new street boards that can be put up will be 597.
Step-by-step explanation:
Since the muncipalicty has budgeted R80 000 for putting up new street name boards and the street name boards cost R134 each.
The number of new street boards that will be put up will be:
= 80000/134
= 597
The amount that will be left in the budget will be R2.
Answer:
8/35 cubic inches
Step-by-step explanation:
Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.
Answer:
Vertical angles = 81 degrees
Angle (4y-1) = 99 degrees
Linear pair = 81 + 99 = 180 degrees
Step-by-step explanation:
2x + 5 = 3x - 33 (vertical angles)
33+5 = 3x - 2x
38 = x
3(38) - 33 = 81 degrees
4y - 1 + 81 = 180 (linear pair angles)
4y = 180 - 80
y = 100/4
y = 25
4(25) -1 = 99 degrees
