First convert all the fractions so that they have a common denominator.
1/2= 8/16
1/8= 2/16 u multiply this by 2 because he is giving 2/16 to each of his 2 children so it’s 4/16
U then multiply 1/16 by 3 because he is giving 1/16 to each of his 3 grandchildren so 3/16 in total
Then add up all these fractions 8/16+4/16+3/16= 15/16
U know that he’s giving away the remaining 15,000 which is 16/16-15/16 so 1/16 of his total estate. Then u can set a proportion to find out his total estate 1/16=15,000/x and u get that x=$240,000
Answer:
22√3 units squared
Step-by-step explanation:
1) Draw the trapezoid
2) Notice you have to find the height to find the area of the trapezoid
3) Notice it is a 30 60 90 triangle when you draw the line to find the height
4) Solve for the 30 60 90 triangle and you get the height to be 2√3
5) Solve for the area of the trapezoid using this formula A= 1/2 h ( b1 + b2)
6) Fill in the numbers for the equation A= 1/2∙ 2√3 ( 10 + 12)
7) Keep aside the 1/2 for now
8) Simplify equation 2√3 + 22 or 2√3 + (10 + 12)
9) Simplify further 44√3
10) Now bring back the 1/2 and put it in the equation 1/2∙ 44√3
11) Simplify to get 22√3
12) 22√3 is the area of the trapezoid
13) 22√3 units squared is the final answer
I will put a my drawing of the trapezoid for reference and this is what I used to solve the question.
If you want to know how I solved the 30 60 90 triangle please let me know.
Sorry I was one week late I just saw it today.
:D
Answer:
students preferred alternative music
= 461/1940 ×100%=23.7%
Answer:
Yes
Step-by-step explanation:
Use the base of the triangle as the diameter, which in this case is 16, divide it by 2, which is 8, and then square it, which is 64, and multiply by Pi (64 times Pi is 200.96) so you can find the area of the whole circle which is 200.96ft^2. Since this is an equilateral triangle, the height might be 16, so using the area of a triangle, A=BH times 1/2, We multiply 16 by 16 which is 256. 256 times 1/2 is 128. So the area of the triangle will be 128ft^2. We then subtract our areas, 200.96-128 which is 72.96. Then therefore the area of the circle will be 72.96ft^2. I may be wrong, but this is what I think.