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Vadim26 [7]
3 years ago
8

PLEASE HELPPPP MEEEEEE!!!!

Mathematics
1 answer:
wlad13 [49]3 years ago
8 0
Answer:

It’s B

Step-by-step explanation:


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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
8 more questions until I’m done
alexandr1967 [171]

Answer:

its a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Determine if the direction that this parabola opens
kondor19780726 [428]
It's going to be going up. That means the answer is b.

Hope this helped☺☺
7 0
4 years ago
Pls help for 27b!!!!!!!
rodikova [14]

Step-by-step explanation:

\beta

is a root of the quadratic

4 {x}^{2}  - 10x + 5

This quadratic isn't factorable so use the quadratic formula

- b +  -  \sqrt{ \frac{b {}^{2}  - 4ac }{2a} }

The plus and minus sign after b means we going to have two roots.

The roots are

\frac{5 +  \sqrt{5} }{4}

and

\frac{5 -  \sqrt{5} }{4}

We subsitue those values for Beta.

27a.

\frac{5}{2}

27b.

25

6 0
3 years ago
1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest
PIT_PIT [208]

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

I am joyous to assist you anytime.

3 0
3 years ago
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