If A=kr² and V=kr³, find the percentage increase in A and V if r is increased by 20%
Answers
Answer:
The percentage increase in A is 44%. The percentage increase in V is 72.8%.
Step-by-step explanation:
The easiest way to go about solving this problem is to pick your own numbers and plug them into the given equations.
For example, let's say that k = 5 and that r = 10.
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The question is asking, what is the percentage increase if r is increased by 20%. Our chosen k-value will stay the same but our r-value is going to increase. To find the new value of r, we multiply 10, our current value of r, by 1.2. This gives us a new value for r, which is 12.
Now, we are going to plug in our new r-value and our k-value into the given equations. k = 5; new r = 12
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Next, we have to calculate the percentage increase in our values of A and V. To do this, we use the following formula:
Percentage Increase for A
Initial value: 500
Final Value: 720
Percentage Increase for V
Initial value: 5000
Final Value: 8640
The percentage increase for A is 44% and the percentage increase for V is 72.8%.
Hope this helps!
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2 sq. units
8 sq. units
4 sq. units
16 sq. units
Answers
Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
The breadth is the distance between (3, 2) and (3, 0):
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units
b. 0 only
c. 17 only
d. –17 only
Answers
Answers
In that situation, you use the information you DO have. It's not always
enough to do the job. But often it is, and in that case, you use what you
do have to answer the question or solve the problem.
Sadly, I can't be any more specific than that. You haven't told us what
information you do have ... only what information you don't have.
Final answer:
The equation for the line is y = 3x + 9.
Explanation:
The equation for a line can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept. In this case, since the slope is 3 and the y-intercept is 9, the equation for the line is y = 3x + 9.
Learn more about Equation of a line here:
#SPJ12
3x + 2y = 7
y = –3x + 11
Answers
y = -3x + 11
Solve the system of equation using substitution.
Substitute the y in the first equation by its value presented in the 2nd equation.
3x + 2y = 7
3x + 2(-3x + 11) = 7
3x - 6x + 22 = 7
-3x + 22 = 7
-3x = 7 - 22
-3x = -15
-3x/-3 = -15/-3
x = 5
Substitute x in the 2nd equation by its computed value. x = 5
y = -3x + 11
y = -3(5) + 11
y = -15 + 11
y = -4
x = 5 ; y = -4
Substitute x and y in the 1st equation with its corresponding values
3x + 2y = 7
3(5) + 2(-4) = 7
15 - 8 = 7
7 = 7
Answers
Answers
Answer:
Step-by-step explanation:
Reliability in research. Reliability, like validity, is a way of assessing the quality of the measurement procedure used to collect data in a dissertation. In order for the results from a study to be considered valid, the measurement procedure must first be reliable.