Answer:
Step-by-step explanation:
Given:
Radius of circular mirror, r = 6x
Length of metal frame, l = 18x
Area of square, As = l^2
Area of square = 18x × 18x
= 324 x^2.
Area of circular mirror, Ac = pi × r^2
= π × (6x)^2
= 36π x^2.
The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac
= 324x^2 - 36πx^2
= 36x2 (9 - π).
Answer: Most likely 13cm
Step-by-step explanation: <em>because it’s between 10cm and 16cm and thes no picture and set of choices so I hope this right.</em>
Hey there!
One way to do this is find all the factors of 6 and then see which pair fit the requirements.
The factors of 6 are 1, 2, 3, and 6. (Note: There can be negative factors, but I am going to leave them out since it is asking for positive integers.)
You can find them by asking if each number can go into 6.
1, 2, 3, and 6 all go into 6, while 4 and 5 do not.
The requirements we have is that they must be consecutive <u>and</u> have a product of 6.
Consecutive means right after one another.
The only numbers that fit this are 2 and 3.
2 x 3 = 6
Hope this helps!
Answer: A. 
B. A'(5) = 1.76 cm/s
Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.
A. Area of a circle is given by
So to find the rate of the area:
Using 
Then
![\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D2.%5Cpi.r.%5B%5Cfrac%7B726%7D%7B%28t%2B11%29%5E%7B3%7D%7D%5D)
![\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D2.%5Cpi.%5B3-%5Cfrac%7B363%7D%7B%28t%2B11%29%5E%7B2%7D%7D%5D.%5Cfrac%7B726%7D%7B%28t%2B11%29%5E%7B3%7D%7D)
Multipying and simplifying:
The rate at which the area is increasing is given by expression 
.
B. At t = 5, rate is:
At 5 seconds, the area is expanded at a rate of 1.76 cm/s.
Answer:
Step-by-step explanation:
2z+4x+9y-y+3
2z+4x+8y+3
=2z+4x+8y+3
