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3 years ago

Please help I don't understand Pythagorean theorem

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

So the Pythagorean Theorem is a²+b²=c² pretty much all you do is plug in what you know. So for number 3 you would plug in the numbers that you know into the formula.
20²+b²=25²
BD isn't needed in the formula because it's not apart of the legnth we are looking at so you dont need to worry about that.
Now do what the formula says..
400+b²=625
then you would subtract
625-400= 225
and "un-square" the answer by finding the square root
√225 = 15
AB= 15
you can always check your answer
20²+15²=25²
400+225=625

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Step-by-step explanation:

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3 years ago

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attashe74 [19]

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3 years ago

Food pill: $9<br> Sales tax:6%<br> Tip:20%<br><br> Can you help me please

steposvetlana [31]

Answer: $11.45

Step-by-step explanation:

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3 years ago

From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

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2 years ago

Round 3.6481 to the hundredths place (two decimal places).To the right

bekas [8.4K]

The correct answer would be 3.65.

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3 years ago