3* 3.14
= 9.42
9.42 * 2
= 18.84
* (4+3)
= 131.88 cm.
Glad to help! :D
The question is defective, or at least is trying to lead you down the primrose path.
The function is linear, so the rate of change is the same no matter what interval
(section) of it you're looking at.
The "rate of change" is just the slope of the function in the section. That's
(change in f(x) ) / (change in 'x') between the ends of the section.
<u>In Section A:</u>
Length of the section = (1 - 0) = 1
f(1) = 5
f(0) = 0
change in the value of the function = (5 - 0) = 5
Rate of change =
(change in the value of the function) / (size of the section) = 5/1 =<em> 5</em>
<u>In Section B:</u>
Length of the section = (3 - 2) = 1
f(3) = 15
f(2) = 10
change in the value of the function = (15 - 10) = 5
Rate of change =
(change in the value of the function) / (size of the section) = 5/1 = <em> 5
</em><u>Part A:</u>
The average rate of change of each section is 5.
<u>Part B:</u>
<span><span>The average rate of change of Section B is equal to
t</span>he average rate of change of Section A.
<u>Explanation:</u>
The average rates of change in every section are equal
because the function is linear, its graph is a straight line,
and the rate of change is just the slope of the graph.
</span>
Answer:
-8n+1
Step-by-step explanation:
the word product indicates multiplication and it says that the product is between n and -8 so we are multiplying -8 and n. 1 more indicates addition so we are adding 1 to the product of -8n.
Answer:
The radius of the circle is approximately 14.42cm
Step-by-step explanation:
If the length of the chord is 16cm and it is 12cm from the center of the circle.
it means it forms 2 right angles while dividing the center of the chord, to the center of the circle, and at right angle. Length of the adjacent then become 16/2 = 8cm
To calculate the radius which forms hypothenus of the right angle triangle, we use Pytagoras Theorem
Say = + , where r is the radius of the circle
= 144 + 64
= 208
r =
r = 14.4222
r ≈ 14.42
Given the word problem, we can deduce the following information:
1. The ratio of the two complementary angles is 3:7.
To determine the measures of both angles, we must note first that complementary angles are two angles whose measures add up to 90°. So our equation would be:
We simplify the equation above:
We plug in x=9 into 3x to get the first angle:
Angle 1 = 3x = 3(9) = 27
Then, we plug in x=9 into 7x to get Angle 2:
Angle 2= 7x=7(9)=63
Therefore, the measures of both angles are 27° and 63°.