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Salsk061 [2.6K]
3 years ago
7

Your sister is considering two different shapes for her garden. One is a square with side lengths of 3.5 meter, and the other is

a circle with a diameter of 4 meters.
A. find the area of the square

B. find the area of the circle

C. compare your answer from a and b. Which garden would give your sister the most space to plant?
Mathematics
1 answer:
Bess [88]3 years ago
3 0
Hello! I can help you with this!

A. Okay. So, to find the area of the square all you have to do is the number square, or multiply the number by itself, in this case. 3.5. 3.5^2 is 12.25. The area of the square is 12.25 square meters large.

B. To find the area of the circle, you do pi*r^2. Radius is half the the diameter. Half of 4 is 2. 2^2 is 4. To multiply by pi, we can just do it as 3.14. 4 * 3.14 is 12.56. The circle is 12.56 square meters large.

C. The circle garden would give her the most space to plant, because 12.56 is larger than 12.25 by 0.31. The circle garden 0.31 square meters larger than the square garden.
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What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

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4 0
3 years ago
At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?
Grace [21]

Answer:

Hey!

Your answer is $118.75!

Step-by-step explanation: How did I get this?

<u>STEP 1:</u> So we know that for a ton of rock costs us $47.50...

To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...

<em><u>(47.50 x 2 = 95)</u></em>

<u>STEP 2: </u>So for $95, you will get 2 tons of rock!

Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2

<em><u>(47.50 ÷ 2 = 23.75)</u></em>

<u>STEP 3:</u> So now we have the costs for 2 tons and the price for HALF a ton.

What we do now is easy...we ADD THE VALUES TOGTHER!

<em><u>(95 + 23.75 = $118.75)</u></em>

The result of $118.75 after adding them together is the PRICE OF 2 TONS!

<u>I HOPE THIS HELPED YOU!</u>

<u />

4 0
3 years ago
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