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Fofino [41]
3 years ago
10

Help ASAP please !!!

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

Step-by-step explanation:

<em>1).</em>

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3 years ago
The figure shown below is composed of a semicircle and a non-overlapping equilateral triangle and contains a hole that is also c
Sloan [31]

Check the picture below.

since we know the radius of the larger semicircle is 8, thus its diameter is 16, which is the length of one side of the equilateral triangle.  We also know the smaller semicircle has a radius of 1/3, and thus a diameter of 2/3, namely the lenght of one side of the small equilateral triangle.

now, if we just can get the area of the larger figure and the area of the smaller one and subtract the smaller from the larger, we'll be in effect making a hole/gap in the larger and what's leftover is the shaded figure.

\bf \stackrel{\textit{area of a semi-circle}}{A=\cfrac{1}{2}\pi r^2\qquad r=radius}~\hspace{10em}\stackrel{\textit{area of an equilateral triangle}}{A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\stackrel{side's}{length}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\left[ \stackrel{\textit{larger figure}}{\cfrac{1}{2}\pi 8^2~~+~~\cfrac{16^2\sqrt{3}}{4}} \right]\qquad -\qquad \left[ \cfrac{1}{2}\pi \left( \cfrac{1}{3} \right)^2 +\cfrac{\left( \frac{2}{3} \right)^2\sqrt{3}}{4}\right]}

\bf \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\frac{4}{9}\sqrt{3}}{4} \right] \\\\\\ \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\sqrt{3}}{9} \right]~~\approx~~ 211.38 - 0.37~~\approx~~ 211.01

3 0
4 years ago
I don’t know how to solve this question. Please help
inn [45]
Hi this isn’t an answer but try using photo math
7 0
4 years ago
In 5 blank, 278, the difference between the value of the digits in the blank and the blank. What is the blank digit in
Katarina [22]

Answer: The digit in the thousand place is '9'.

Step-by-step explanation: The given number is 5_278.

The difference between the values of the digits in the thousandth place and the tenth place is 8930.

The digits in the tenth place is already given, which is 7

Let's assume the digits in the thousandth place is x,

8 0
3 years ago
Sam picked 1/2 gallon of blueberries. He poured the blueberries into one of his plastic containers and noticed that the berries
Burka [1]

Answer:

With 1 gallon of blueberries, Sam can fill 4/3 of his container.

Step-by-step explanation:

By the given situation:

1/2  gallon of blueberries  ⇒ The container is 2/3 full

Now, let us assume 1 gallon of blue berries   ⇒  The container is m full.

Now, by the RATIO OF PROPORTIONALITY:

\frac{\frac{1}{2} }{\frac{2}{3} }  = \frac{1}{m} \\\implies {\frac{1}{2} } \times {\frac{3}{2} }  =  \frac{1}{m}\\or,\frac{1}{m} = \frac{3}{4} \\\implies  m =  \frac{4}{3}

Hence, with 1 gallon of blueberries, Sam can fill 4/3 of his container.

6 0
3 years ago
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