Answer:
Step-by-step explanation:
90/100 * x = 15750
0.9 x = 15750
x = 15750/0.9
x = 17500
Now check this by taking 10% off. Do you get 15750?
Let's see
10/100 of 17500 = 1750
Subtract that from 17500
17500 - 1750 = 15750 which is exactly what you should get.
If you divide 13 by 3 you get 4 1/3 then you subtract 25 by 4 1/3 to get 20 2/3 so the answer is B
The lowest is the square root of 9 which is 3. After that is 3.15, 13/4 (3.25), 3 1/2 (3.50). My explanation would be: first I found out the square root of 9. Then divided 13 by 4.
9514 1404 393
Answer:
arc SU ≈ 2.62 . . . units
Step-by-step explanation:
The arc length is given by ...
s = rθ
where r is the radius, and θ is the central angle in radians.
arc SU = ST·STU = 3·(50°·π/180°) = 5π/6
arc SU ≈ 2.62 . . . units
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f