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Marina86 [1]
3 years ago
6

PLEASE HELP! AS SOON AS POSSIBLE I HAVE TO BE DONE IN 10 MINS !

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. What is the area of the pool?
Tomtit [17]
<span>You just need to multiply them together the. You'll get 2275/6 or 379 1/6 sq feet</span>
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3 years ago
If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the
Brrunno [24]

Answer:

\left(100\pi - 150\sqrt{3}\right) square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 10 inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment \sf CH be a height on side \sf AB. Since this triangle is equilateral, the size of each internal angle will be \sf 60^\circ. The length of segment

\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}.

The area (in square inches) of this equilateral triangle will be:

\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}.

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}.

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is 10 inches, the radius of this circle will also be 10 inches.

The area (in square inches) of a circle of radius 10 inches is:

\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi.

The area (in square inches) of the circle that the hexagon did not cover would be:

\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}.

3 0
3 years ago
To prove triangles similar, we only need to prove corresponding angles congruent OR corresponding sides are proportional. Howeve
ad-work [718]

Answer:

we can proove by ASA congruence or SAS congruence rule

6 0
3 years ago
Which calculation results in the best estimate of 148 % of 203
adoni [48]
203---- 100%
x-----148%
x=203*148/100=203*1.48=300.44
6 0
3 years ago
Read 2 more answers
1. What is the principal which would amount to $6 900 in 3 years at 5%
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Answer:

umnim not sure if will be back for that one

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