Answer:
k = 8
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 32 when x = 4, then
32 = 4k ( divide both sides by 4 )
8 = k
20(24) = 480 items per day
480(30) = 14,400 items per month
Answer:
200.96 in2
Step-by-step explanation:
Area of a circle = nr²
n = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
radius = 16 inches / 2 = 8 in
Area = 3.14 x 8² = 200.96 in²
It is x^4 - y^2
so, expanding it, (x^2-y)(x^2+y)
hope it served
Answer:
c ≈ 21
Step-by-step explanation:
By applying cosine rule in the given triangle ABC,
c² = a² + b² - 2abcos(C)
c² = (17)² + (10)² - 2(17)(10)cos(98.8°)
c² = 289 + 100 - 340(-0.1530)
c² = 441.015
c = 21
c ≈ 21