The sum of 3/8 and 1/16 is 7/16
People who selected blueberry = 40
People who selected grapes = 5
People who selected either/or of the above = 40 + 5 = 45
People who selected banana = 10
People who selected orange = 30
People who selected either/or of the above = 10 + 30 = 40
The ratio of the two numbers is 45:40 or 45/40 or 9/8 or the number you are looking for: 112.5%
Answer:
9/14 ; 18/23 ; 8/15
Step-by-step explanation:
7/21 = 1/3
6/15 = 2/3
Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r =
= ![\sqrt{8^2+3^2}](https://tex.z-dn.net/?f=%5Csqrt%7B8%5E2%2B3%5E2%7D)
=
=
⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle
Answer:
234.67 in³
Step-by-step explanation:
volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³
volume of half sphere = 523.33/2 = 261.67 in³
volume of cube = LWH = 3³ = 27 in³
261.67 - 27 = 234.67 in³