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3 years ago

The side length of a square is increased by 50%. By what percent is the area increased?

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

125%

Step-by-step explanation:

In this kind of question, we could choose any arbitrary value for the length of the side of the square.

Let’s say the square is 10m in length, a 50% increase in the length means we add 5 to the original length making the new length to be 15m.

The area of a square is L^2

The former area is 10 * 10 = 100 while the new area is 15 * 15 = 225

The percentage increase is calculated as follows:

We simply subtract the old from the new to yield 225 - 100 = 125

The percentage increase would now be :

125/100 * 100 = 125%

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lidiya [134]

Answer:

224 in²

Step-by-step explanation:

16 × 14 = 224 in²

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3 years ago

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dem82 [27]

Answer:

$\frac{\sqrt{17}}{4}$

Step-by-step explanation:

Rationalizing the denominator of a fraction is when one multiplying fraction such that it removes any radical from the denominator. This can be done by multiplying both the numerator and the denominator by the radical that is present in the denominator. In fractional terms, a number over itself is equal to one, therefore, doing this would keep the equation true. After multiplying, one will simplify the resulting fraction.

$\frac{17}{4\sqrt{17}} * \frac{\sqrt{17}}{\sqrt{17}}\\\\= \frac{17\sqrt{17}}{4(17)}\\$

Simplify like factor found in both the numerator and the denominator,

$\frac{17\sqrt{17}}{4(17)}\\\\= \frac{\sqrt{17}}{4}$

8 0

2 years ago

The line represented by the equation 3x + 5y = 2 has a slope of -3/5. Which shows the graph of this equation?

Daniel [21]

Graph 3 is the answer. Choose a point on the line. Go down by 3. Then go to the right by 5.

4 0

3 years ago

WHAT IS THE LINE OF BEST FIT FOR THE FOLLOWING DATA (1,3) (2,0) (5,-8) (9, -25) . WRITE YOUR ANSWERS IN THE FORM OF Y= AX+ B

dimulka [17.4K]

Answer:

3.471 + 7.2516 x

Step-by-step explanation:

Given the data:

(1,3) (2,0) (5,-8) (9, -25) .

-8

-25

The line of best fit for the data given can be obtained using an online regression calculator :

The equation of best fit for the data is thus;

Best fit equation; y = -3.471 + 7.2516x

Intercept = - 3.471 ;

Slope = 7.2516

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3 years ago

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Answer:

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2 years ago