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Mama L [17]
3 years ago
11

Helppppppppppppppp me plzzzzzzz

Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

B = j + H

Step-by-step explanation:

Given:

j = - H + B

Solve the equation for B

j = - H + B

Add H to both sides of the equation

j + H = - H + B + H

j + H = B

B = j + H

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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
3 years ago
An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com
Alisiya [41]

Answer:

The expression to determine the total cost in dollars is y=25+0.75x.

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and  Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

y=20+0.75x+5\\\\y=25+0.75x

Hence the expression to determine the total cost in dollars is y=25+0.75x.

3 0
3 years ago
What is 37 more than t
AleksAgata [21]

37 more than t would simply be defined as t+37

That's all!

8 0
3 years ago
If theres 12. Cans of juice and 9 packs of crackers how many kids can eat equally
Paha777 [63]
Only 3 kids could eat equally because 3 is the highest number that goes into 12 and 9
5 0
3 years ago
Read 2 more answers
plot the reflection of point A across the x-axis. what are the coordinates of the reflection of point A across the x-axis? what
dsp73
You reflect point A over the x-axis, double the distance from point a to the x-axis, then give the coordinates.

ex/ point A to the x-axis: 6, reflection: 12. coordinates (-6, 5)
8 0
3 years ago
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