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2 years ago

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Mathematics

1 answer:

liraira [26]2 years ago

8 0

Answer:

A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the

sum of the first two terms is 5. Find the first four terms of the series.

Step-by-step explanation:

A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the

sum of the first two terms is 5. Find the first four terms of the series.

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Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

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3 years ago

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