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3 years ago

Describe the pattern below.What are the next two numbers? 1.64,3.28

Mathematics

1 answer:

Zigmanuir [339]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

note that 3.28 = 2 × 1.64

This could be a geometric sequence with common ratio r = 2

To obtain the next term multiply the previous term by 2

3.28 × 2 = 6.56

6.56 × 2 = 13.12

1.64, 3.28, 6.56, 13.56 ← first 4 terms in sequence

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AlladinOne [14]

Answer:

$SA= \frac{2}{3} \pi rl+16 \pi r^2$

Step-by-step explanation:

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3 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

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1 year ago