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3 years ago

Audrey measures the distance around the lid of her aquarium. The picture

Mathematics

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer: 10 inches
Explanation: You are given one side of the aquarium which is 18 inches. The top and the bottom of the aquarium is 18 inches because that’s what the diagram gives us. So you can multiply 18 x 2=36. Now, to find the missing side length, subtract the perimeter (56 inches) by 36 and you get 20 inches. However, that’s not your final answer because you have to divide 20/2=10 inches. 10 inches is the missing side length for the left and right side lengths.

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The surface area of the cone is 43.75pie cm^2. What is the slant height of the cone and the diameter is 5

Masteriza [31]

If the diameter of the cone is 5, then the radius of it will be half that, or 2.5, thus

$\bf \textit{total surface area of a cone}\\\\
SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
------\\
SA=43.75\pi \\
r=2.5
\end{cases}
\\\\\\
43.75\pi =\pi (2.5)\sqrt{r^2+h^2}+\pi (2.5)^2
\\\\\\
43.75\pi -\pi (2.5)^2=2.5\pi \sqrt{r^2+h^2}
\\\\\\
43.75\pi -6.25\pi =2.5\pi \sqrt{r^2+h^2}\implies 37.5\pi =2.5\pi \sqrt{r^2+h^2}
\\\\\\
\cfrac{37.5\pi }{2.5\pi }=\sqrt{r^2+h^2}\implies 15=\sqrt{r^2+h^2}$

3 0

4 years ago

Find the distance between the points (1, 0) and (0, 2). √3 √5 1

GalinKa [24]

For this case we have that by definition, the distance between two points is given by:

$d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}$

We have the following points:

$(x_ {1}, y_ {1}): (1,0)\\(x_ {2}, y_ {2}): (0,2)$

Substituting we have:

$d = \sqrt {(0-1) ^ 2 + (2-0) ^ 2}\\d = \sqrt {(- 1) ^ 2 + (2) ^ 2}\\d = \sqrt {1 + 4}\\d = \sqrt {5}$

Thus, the distance between the points is $\sqrt {5}$

Answer:

$d = \sqrt {5}$

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3 years ago

Samantha says that two of three points below are on a line through the origin. (3,8), (6,21), and (9,24)

Thepotemich [5.8K]

Answer:

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Step-by-step explanation:

Who got the answer to the homework

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3 years ago

Can someone help me?

MAXImum [283]

Sure b and c would probs be right

8 0

3 years ago

What is the relationship between angles 6 and 7

KATRIN_1 [288]

Answer: D; vertical angles

Step-by-step explanation: We could conclude thee are vertical angles because of the same measurement of each we could also see that they correspond each other and are therefore similar angles.

Concluding, that the answer would be D; vertical angles

Hope this helps

-Carrie

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4 years ago