Let n be the common factor for the ratio 6:5. Then:
6n+5n=330
11n=330
n=30
aerobics=6n=180 min
weight training=5n=150 min
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Answer:
1) Radius of the cone = 9.5 cm
2) BA = 90.25 π cm²
3) SA = 384.7 π cm²
Step-by-step explanation:
1) Radius of the cone = 9.5 cm
2) Base Area of the cone =
BA = (π)(9.5)²
BA = 90.25 π cm²
3) Surface Area of Cone =
SA = π(9.5)(9.5 + √(29.5)²+(9.5)²)
SA = 9.5π(9.5 + 31)
SA = 9.5π(40.5)
SA = 384.7 π cm²
Edge 2022
Answer:
y+1 = 2 (x -3)
Step-by-step explanation:
The formula for point slope form is --
Y - Y1 = m ( x - x1)
M being slope, y1 and x1 being the values.
since the y value is negative, double negative is positive so instead of minus 1 it would be plus 1
Equation of a parabola is given by
y = ax^2 + bx + c
From the given points
-16 = a(-2)^2 + b(-2) + c = 4a - 2b + c . . . (1)
4 = a(0)^2 + b(0) + c = c . . . (2)
-28 = a(4)^2 + b(4) + c = 16a + 4b + c . . . (3)
Putting (2) into (1) and (2) gives:
4a - 2b + 4 = -16
4a - 2b = -20 . . . (4)
16a + 4b + 4 = -28
16a + 4b = -32 . . . (5)
(4) x 4 => 16a - 8b = -80 . . . (6)
(5) - (6) => 12b = 48
b = 48/12 = 4
From (4), 4a - 2(4) = -20
4a = -20 + 8 = -12
a = -12/4 = -3
Therefore, the required polynomial is
y = -3x^2 + 4x + 4
You just have to plug in the value of x and y.
1) y = 2x + 10 —> y = 2(4) + 10
y = 8 + 10
y = 18
2) y = 2x - 4 —> 10 = 2x - 4
add four to both sides
14 = 2x and divide 2 by both sides and you get x = 7
