PLS GIVE A STEP BY STEP EXPLANATION 25 POINTS FOR ANSWERING + BRAINLIEST IF YOU GET IT RIGHT The diagram shows 3 identical circl
es inside a rectangle Each circle touches two other circles and the sides of a rectangle as shown in a diagram The radius of each circle is 24mm. Work out the area of the rectangle Give the correct answer to three significant figures.
1 answer:
Answer:
Area = 8.60 × 10² mm³
Step-by-step explanation:
<u><em>Finding the Width first:</em></u>
Width = 4(r) [Because 4 radius-es make up the width]
Width = 4(24 mm)
Width = 96 mm
<u><em>Now, The length:</em></u>
Length = [Because Length is made up of 2 radius-es and an √3 radius also!]
Length = (24)(2+1.7)
Length = (24)(3.7)
Length = 89.6 mm
<u><em>Now, The Area:</em></u>
=> Area of Rectangle =
=> Area = 96 * 89.6
=> Area = 8.60 × 10³ mm² [Correct up to 3 significant figures]
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By definition, the average rate of change is given by:
We evaluate each of the functions in the given interval.
We have then:
For f (x) = x ^ 2 + 3x:
Evaluating for x = -2:
Evaluating for x = 3:
Then, the AVR is:
For f (x) = 3x - 8:
Evaluating for x =4:
Evaluating for x = 5:
Then, the AVR is:
For f (x) = x ^ 2 - 2x:
Evaluating for x = -3:
Evaluating for x = 4:
Then, the AVR is:
For f (x) = x ^ 2 - 5:
Evaluating for x = -1:
Evaluating for x = 1:
Then, the AVR is:
Answer:
from the greatest to the least value based on the average rate of change in the specified interval:
f(x) = x^2 + 3x interval: [-2, 3]
f(x) = 3x - 8 interval: [4, 5]
f(x) = x^2 - 5 interval: [-1, 1]
f(x) = x^2 - 2x interval: [-3, 4]
Answer:
When new, the scooter cost $900
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we have
This is a exponential function of the form
where
A(t) ----> represent the value of a motor scooter
t ----> the number of years after it was purchased
a ---> represent the initial value or y-intercept
b is the base of the exponential function
r is the percent rate of change
b=(1+r)
In this problem we have
The base b is less than 1
That means ----> is a exponential decay function (is a decreasing function)
Find the percent rate of change
Convert to percentage (multiply by 100)
---> negative means is a decreasing function
<u><em>Verify each statements</em></u>
<em>case A</em>) When new, the scooter cost $765.
The statement is false
Because the original value of the scooter was $900
case B) When new, the scooter cost $900
The statement is true (see the explanation)
case C) The scooter’s value is decreasing at a rate of 85% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
case D) The scooter’s value is decreasing at a rate of 0.15% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
