The area of a full circle is given by
A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
A = (π/4)*r^2
The area of a parallelogram is the product of base length and height:
A = bh
Your composite figure will have an area that is the sum of the areas of the parts.
A = (quarter circle area) + (parallelogram area)
A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
A ≈ 223.86 in^2 ≈ 224 in^2
The most appropriate selection is the last one,
224 in^2
Answer:
38 5/28
Step-by-step explanation:
Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.
Find the LCD (Least Common Denominator) of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)
LCD = 28
21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is
converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7
Applying the fractions formula for addition,
(99×7) + (94×4) / 4×7
= 693+376 / 28 =
= 1069/ 28
Simplifying 1069/28, the answer is
= 38 5/28
And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example
38 5/28.
28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!
Hope this helps! (sorry I took so long)
~R.C aka dj
Answer:
<u>radius = √13</u>
Step-by-step explanation:
Forming the equation :
<u>(x - h)² + (y - k)² = r²</u>
- (x, y) = point on circle
- (h, k) = center of circle
- r = radius
Solving :
- (-2 + 4)² + (3 - 6)² = r²
- r² = 4 + 9
- <u>radius = √13</u>
Answer:
x = 16
Step-by-step explanation:
Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:
51 + 65 + 4 x = 180
combine and solve for "x"
116 + 4 x = 180
4 x = 180 - 116
4 x = 64
x = 64 / 4
x = 16
the correct answer to your question is 10
