Answer:24v+24w-16
Step-by-step explanation:
8(3v+3w-2)
8 times 3 =24
So 24v+24w
Then 8 times 2=16
So the answer would be 24v+24w-16
Answer:
c. 4 and 42
Step-by-step explanation:
Given
-- independent variables
---- observations
Required
The numerator and denominator degrees of freedom
The denominator degrees of freedom is:



For the numerator, we have:


Step-by-step explanation:
Remember SOH-CAH-TOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
The side adjacent to W is 4. The side opposite of W is 3. The hypotenuse is 5.
Therefore:
Sine = 3 / 5
Cosine = 4 / 5
Tangent = 3 / 4
Simplify both sides:
x
—- = -9
4
now isolate the variable (x):
x= -9 • 4
x= -36
Given:
2 shapes: rectangle (tray) and circle (cake tin)
We need to find the area of each shape.
We need to convert mm to cm. 1mm = 0.1cm
600mm x 0.1cm/1mm = 60cm
500mm x 0.1cm/1mm = 50cm
Area of the Tray = 60cm * 50cm = 3,000cm²
Area of the cake tin = π r²
r = d/2 = 25/2 = 12.5cm
Area of the cake tin = 3.14 * (12.5cm)²
Area of the cake tin = 3.14 * 156.25cm²
Area of the cake tin = 490.625cm²
Area of the tray ÷ Area of the cake tin = number of cake tins that fit
3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins.
Only 6 cake tins Jenny can fit on the oven tray at one time.