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3 years ago

Use inductive reasoning to find the next term in the sequence 0, 1, 1, 2, 3, 5, 8 …Answer is 13

Mathematics

1 answer:

expeople1 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Look carefully: you'll see that each new term is the sum of the previous two terms. The 3rd term is 0 + 1, or 1. The 4th term is 1 + 1, or 2. The 8th term is the sum of 5 and 8, or 13.

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A club is selling hats and jackets as a fundraiser. Their budget is $1500, and they want toorder at least 250 items. Each hat co

Tom [10]

Let H be the number hats and J the number of jackets. Then, we can write,

$5H+8J\le1500$

Now, since they want 250 items at least, we can write

$H+J\le250$

Hence, the system of inequalities is

$\begin{gathered} 5H+8J\le1500 \\ H+J\le250 \end{gathered}$

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1 year ago

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

Veseljchak [2.6K]

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

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2 years ago

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Lisa [10]

The formula of the volume of a cylinder:

$V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base$

We have:

$V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3$

and

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substitute:

$\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2$

Answer: The area of a base of the cylinder is equal 45 dm².

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3 years ago

What is the common denominator for 32 and 3

Leya [2.2K]

Just multiply 32 by 3

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3 years ago

A right triangle has sides of length 3, 4, and .

olchik [2.2K]

Answer:

5/hypotenuse, the square root of 7/ leg

Step-by-step explanation:

3^2+4^2=25 or 5^2. you use a^2+b^2=c^2. it would be one of the hypotenuses. If the missing number is a leg, you would do 4^2=3^2+x^2. 16=9+x^2, 7=x^2, so you plug in the numbers differently.

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3 years ago

Read 2 more answers