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3 years ago

A circular patio has a diameter of 4 yards. What is the area of the patio? Use 3.14 for π.

Mathematics

2 answers:

My name is Ann [436]3 years ago

8 0

Answer:

50.24 square yards

Step-by-step explanation:

area = 3.14 × 4²

Mkey [24]3 years ago

8 0

Answer:

12.56 yd2

Step-by-step explanation:

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-5/9 and sure thing alyha_diys

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3 years ago

Read 2 more answers

Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created?

Lelechka [254]

Answer:

$y=\dfrac{1}{8}(x-2)^2-1$

Step-by-step explanation:

The distance between the focus and the directrix is the vertical distance from the point to the line:

1 -(-3) = 4

The vertex is half that distance between the point and the line, so is at x=2 and ...

y = (-3 +1)/2 = -1

The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...

y = (1/(4·2))(x -2)² -1

y = (1/8)(x -2)² -1

_____

Check

Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.

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2 years ago

The volume in cubic centimeters of a sphere whose diameter is 6 centimes is ?

aivan3 [116]

Answer:

Volume of the sphere is 36π (or) 113.097 cubic centimetre.

Step-by-step explanation:

$given \\ diameter \: of \: sphere = 6 \: cm \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{6}{2} \\ radius \: (r) = \: 3 \: cm \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = 3 \: cm \\ on \: substituting \: r \: = 3 \: \: in \: formula \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {3}^{3} \\ \: \: = \frac{4}{3} \pi \: 27 \\ \: = \: 4 \pi \times 9 \\ \: \: = 36\pi \\ \: \: = 113.097 \: {cm}^{3}$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

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3 years ago

Y=x^2-4x-1 in vertex form

belka [17]

The answer is Y= (x-2)^2-5

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1 year ago

describe how making a list can help you solve a math problem.Write a problem that could be solved by making a list.

uranmaximum [27]

Making a list helps organize the information in a word problem that can otherwise be overwhelming and confusing. Making lists put out a straightforward guide and help you break down the problem so you really understand what you need to do.
Word problem:
Maya has $55 and she gives her brother $10. She also gives her friend $15 and her sister $5. Her sister pays her back fully but her brother only pays back half of what he owed, promising to pay her back later. Her friend gives back 1/3 of what she owed, also promising to pay her back as soon as she can. How much money does Maya currently have?

In this problem, you have to process the money transactions and making a list will help you go step by step.

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3 years ago