A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?a. 50
b. 80
c. 100
d. 125
e. 250

Answers

Answer 1
Answer:

It is easier to show th anser using fractions.

Do=original diameter
Ao=Original area
Df=Final diameter
Af=Final area

Df=(1+50%)Do=(1+1/2)Do=3/2*Do

Ao=pi/4*(Do)^2
Af=pi/4*(Df)^2=pi/4*(3/2*Do)^2=pi/4*9/...

Comparing the initial and final area:

Af/Ao=(pi/4*9/4*(Do)^2)/(pi/4*(Do)^2)

simplifying

Af/Ao=9/4=225%

Therefore the increment is 9/4-1=5/4=125%

Or equivalently: 225%-100%=125%

Therefore the answer is "D."

Note: there is calculate the increment in the difference not how many times the area changed.

Hope this helps ;)


Related Questions

Can you write an expression for the number of miles george travels in h hours, George drives 45 mi/h?
Two triangles that have the same side lengths will always be congruent.A. TrueB. False
F(x)=(lnx)²/2xgive f '(x)=??
How many solutions exists for the given equation?
A quadratic equation is written in four equivalent forms below. I. y = (x - 1)2 - 49 II. y = x2 - 2x - 48 III. y = (x + 6)(x - 8) IV. y = x(x - 2) - 48 Which of the forms shown above would be the most useful if attempting to find the x-intercepts of the quadratic equation?

HELP ASP!!!!!! The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n +3.75; 20
20 is the
th term.

Answers

Answer:

13th term

Step-by-step explanation:

Answer:

the 13th term, if you plug in 13 for n and solve you would get 20 :)

Which statement best compares savings accounts and money market accounts?

Answers

Answer: A regular savings account has fewer restrictions on withdrawals than a money market account but at a lower interest rate

Step-by-step explanation: got it from my notes

Answer:

A money market account allows for more withdrawals than a regular savings account but at a higher interest rate.

Step-by-step explanation:

Canvas cloth cost 7.50 per square meter how much will 3.5 square meters of canvas cost ??

Answers

Answer:

$26.25 is the cost of 3.5 square meters canvas.

Step-by-step explanation:

Cost of one unit square canvas is given as $7.50 and we have to calculate the cost of 3.5 square meter cost of the canvas.

We can use the unitary method to solve this question.

∵ Cost of 1 square meter canvas = $7.50

∴ Cost of 3.5 square meter canvas = 7.5 × 3.5

                                                      = $26.25

Therefore, cost of 3.5 square meter of the canvas is $26.25.

3.5 sq.m. will cost $26.25

If military time is 0145, what time is it on a regular clock

Answers

The military time 0145 is equivalent to 1:45 AM on a regular clock.

Given that in a military clock it is showing 0145, we need to convert it into regular clock;

To convert the military time 0145 to a regular clock format, follow these steps:

Step 1: Identify the hour in military time.

In this case, the military time is 0145. The first two digits, "01," represent the hour.

Step 2: Determine if it is in the AM or PM.

Since the hour is "01," which is less than 12, it is in the AM.

Step 3: Convert the hour to regular clock format.

Since the hour is "01," we can write it as "1" on a regular clock.

Step 4: Identify the minutes.

The last two digits, "45," represent the minutes.

Step 5: Combine the hour and minutes.

Putting it together, we have "1:45" on a regular clock.

Step 6: Determine if it is in the AM or PM.

Since we established earlier that it is in the AM, the final time on a regular clock is "1:45 AM."

Therefore, the military time 0145 is equivalent to 1:45 AM on a regular clock.

Learn more about military time click;

brainly.com/question/30763743

#SPJ6

i love military time its 1:45 am

the perimiter of a parallelogram is 72 meters the width of the paralleogram is 4 meters less than its length. find the length and width of the parallelogram.

Answers

Answer:

length = 20 m

width = 16m

Step-by-step explanation:

The answer to this would be
Length 20
Width 15

Least these in order from least to greatest 1.2, 02, 1.02, 1.002 ​

Answers

02, 1.2, 1.02, 1,002