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.
Answer: Diameter: 8
Area: 201.1
Step-by-step explanation:
Diameter: Use the formula for the area of a circle:
Use the formula for the area of a circle:
A=πr2
Here, the area is 16π:
16π=πr^2
Divide both sides by π:
16=r^2
Take the square root of both sides: √16=√r^2
4=r
Since the radius of the circle is 4, the diameter is twice that:
d=4×2=8
Area:
Formula:
A = π r^2
A= Area R= Radius
Add Radius
A= π 8^2
Solve:
Simplify π⋅8^2
Exact Form:
A=64π
Decimal Form:
A=201.06192982
Answer: n= 14
Step-by-step explanation:
The formula to find the sample size :_
, where p= Prior estimate of population proportion.
z* = Critical value.
E= Margin of error.
Given : Prior estimate of population proportion : p= 0.025
We know that , the critical value for 90% confidence interval :
E= 7.0%=0.070
Then , the required minimum sample size :
i.e. n= 14
Hence, the sample size needed : n= 14
The answer is 1/2. You have to use the union formula, P of A+ P of B- P of A intersect B.
Answer:
Step-by-step explanation:
In this problem we have a exponential function of the form
where
f(x) is the remaining mass of the element in grams
x is the time in minutes
a is the initial value (y-intercept of the exponential function)
b is the base
r is the rate
In this problem we have
---> is negative because is a decay's rate
substitute
The exponential function is equal to
For x=15 minutes
substitute in the function
