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seropon [69]
2 years ago
6

Use the information from the previous question to answer this question now that you know the length of the missing side of the t

riangle, find the actual distance. Since each unit on the grid is zero. 5 mile, the ferry will travel about blank miles

Mathematics
1 answer:
andrew11 [14]2 years ago
4 0

Solution

find the actual distance. Since each unit on the grid is 0.5 mile, the ferry will travel about

Length of the missing side of the triagle = 10.2

Unit on the grid = 0.5mile

\begin{gathered} 1\text{unit -}\longrightarrow\text{ 0.5 mile} \\ 10.2\text{unit}--\longrightarrow x \\ x=\frac{10.2\times0.5}{1} \\ x=5.1 \end{gathered}

Hence the correct answer is Option C

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A disk with radius 3 units is inscribed in a regular hexagon. Find the approximate area of the inscribed disk using the regular
Oksi-84 [34.3K]

Answer:

The approximate are of the inscribed disk using the regular hexagon is A=18\sqrt{3}\ units^2

Step-by-step explanation:

we know that

we can divide the regular hexagon into 6 identical equilateral triangles

see the attached figure to better understand the problem

The approximate area of the circle is approximately the area of the six equilateral triangles

Remember that

In an equilateral triangle the interior measurement of each angle is 60 degrees

We take one triangle OAB, with O as the centre of the hexagon or circle, and AB as one side of the regular hexagon

Let

M  ----> the mid-point of AB

OM ----> the perpendicular bisector of AB

x ----> the measure of angle AOM

m\angle AOM =30^o

In the right triangle OAM

tan(30^o)=\frac{(a/2)}{r}=\frac{a}{2r}\\\\tan(30^o)=\frac{\sqrt{3}}{3}

so

\frac{a}{2r}=\frac{\sqrt{3}}{3}

we have

r=3\ units

substitute

\frac{a}{2(3)}=\frac{\sqrt{3}}{3}\\\\a=2\sqrt{3}\ units

Find the area of six equilateral triangles

A=6[\frac{1}{2}(r)(a)]

simplify

A=3(r)(a)

we have

r=3\ units\\a=2\sqrt{3}\ units

substitute

A=3(3)(2\sqrt{3})\\A=18\sqrt{3}\ units^2

Therefore

The approximate are of the inscribed disk using the regular hexagon is A=18\sqrt{3}\ units^2

6 0
3 years ago
Given m \| nm∥n, find the value of x.
Alex Ar [27]

Answer:

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Step-by-step explanation:

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Consider a sequence who’s first three terms are 5,15,45... write an equation for this sequence in explicit form
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Answer:Answer:

y=x*3

Step-by-step explanation

step one: find how many times dose 5 go into 15

15/5=3

then we can do the same thing to see how many 15's can go into 45

45/15=3

therefore, the answer is 3

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Answer:

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Step-by-step explanation:

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Find the circumference and area of a circle with a diameter of 22 inches.
Katyanochek1 [597]

Answer:

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Step-by-step explanation:

Diameter of the circle=22\;inches

Radius=\dfrac{22}{2} =11\;inches

Circumference of a circle:

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Area of the circle:

                  =\pi \times r^2

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8 0
3 years ago
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