Answer: I belive he is right
Step-by-step explanation:
<u>Given: </u>
- Breadth of canvas is 22 inches.
- Length of canvas is 38 inches.
<u>To Find:</u>
- If kendra covered 30% of the canvas by painting red rose, what will be the area of canvas covered by red rose?
<u>Solution: </u>
To find the area of red rose, first we have to find the area of canvas.
★ Area of Rectangle = Length × Breadth
➝ 22 × 38
➝ 836 in²
So, Area of canvas is 836 inches².
★ Area of red rose:-
➝ 30% of 836 in²
➝ 0.30 of 836
➝ 250.8
Hence, Area covered by the red rose is <u>2</u><u>5</u><u>0</u><u>.</u><u>8</u>
<h2> ____________________</h2><h3><u>Additional</u><u> </u><u>Information:</u><u> </u></h3>
★ Triangle => ½bh
★ Rectangle => Length × Breadth
★ Circle => πr²
★ Square => Side × Side
★ Parallelogram => Base × Height
★ Sphere => 4πr²
114.425<114.58 because 425<580.
The easiest way to reach this solution is to look at the numbers. Everything before the decimal point is the same, but the first digit after the place holder differs, one is four tenths and the other is 5 tenths. 4 is less than 5 making the first statement the correct one!
Step One
======
Find the length of FO (see below)
All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)
Step Two
======
Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ
Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.
FO^2 = FJ^2 + OJ^2
FO = sqrt(5) + sqrt(2)
FJ = 1/2 [(sqrt(5) + sqrt(2)] \
OJ = ??
[Sqrt(5) + sqrt(2)]^2 = [1/2(sqrt(5) + sqrt(2) ] ^2 + OJ^2
5 + 2 + 2*sqrt(10) = [1/4 (5 + 2 + 2*sqrt(10) + OJ^2
7 + 2sqrt(10) = 1/4 (7 + 2sqrt(10)) + OJ^2 Multiply through by 4
28 + 8* sqrt(10) = 7 + 2sqrt(10) + 4 OJ^2 Subtract 7 + 2sqrt From both sides
21 + 6 sqrt(10) = 4OJ^2 Divide both sides by 4
21/4 + 6/4* sqrt(10) = OJ^2
21/4 + 3/2 * sqrt(10) = OJ^2 Take the square root of both sides.
sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )
Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) ) <<<<<< answer.
56ft. Because 7 times 8 is 56.