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LenaWriter [7]
3 years ago
13

A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer:

86.13 cm²

Step-by-step explanation:

the area of the entire fig =

(½×3.14×3²) + (½×(10+6)×9)

= (14.13)+(72) = 86.13

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jek_recluse [69]

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Used:\\\\(\sqrt{a})^2=a\\\\(a-b)(a+b)=a^2-b^2\\\\(a^n)^m=a^{nm}

6 0
3 years ago
Find the area of an equilateral triangle with apothem 7 cm.
lbvjy [14]
So hmm check the picture below

using the 30-60-90 rule, we get that much.. .bear in mind, an equilateral triangle has all equal sides, and therefore, all equal angles, so each angle is 60°, run a median through it from the center, and you split it in half

\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=\textit{length of one side}\\
----------\\
s=14\sqrt{3}
\end{cases}\implies A=\cfrac{(14\sqrt{3})^2\sqrt{3}}{4}
\\\\\\
A=\cfrac{14^2\cdot 3\sqrt{3}}{4}\implies A=\cfrac{588\sqrt{3}}{4}\implies A=147\sqrt{3}

8 0
3 years ago
Evaluate the square root
Alexandra [31]

\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144

3 0
3 years ago
The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and sel
ratelena [41]

Answer:  r = C/(2pi)

This is the same as writing r = \frac{C}{2\pi}

=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

C = 2pi*r

C/(2pi) = r

r = C/(2pi)

in which we can write it like r = \frac{C}{2\pi}

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

-----------------

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

r = C/(2pi)

r = C/(6.28)

r = 628/(6.28)

r = 100

So the radius would be roughly 100 feet.

8 0
3 years ago
Helppppppppppppppppppp me Write this rate as a unit rate. 7/5 miles 2/3 hour
malfutka [58]

Answer: Your answer is 3.5 miles per hour.

Step-by-step explanation:

7 0
3 years ago
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