Answer/Step-by-step explanation:
✔️Find AC using Pythagorean Theorem:
AC² = 25.2² - 11.3²
AC² = 507.35
AC = √507.35
AC = 22.5 (nearest tenth)
✔️Find m<A using trigonometric ratio:
Reference angle = A
Opp = 11.3
Hyp = 25.2
Sin(A) = opp/hyp
Sin(A) = 11.3/25.2
A = sin^{-1}(11.3/25.2)
A = 26.6° (nearest tenth)
✔️Find m<B using trigonometric ratio:
Reference angle = B
Adj = 11.3
Hyp = 25.2
Cos(A) = adj/hyp
Cos(A) = 11.3/25.2
A = cos^{-1}(11.3/25.2)
A = 63.4° (nearest tenth)
The area of the square is 81 sq in, and the area of the circule is (3.14)(3 in)^2, or approx 3.14(9) sq in, or approx 28.27 sq in.
Subtract: 81 sq in - 28.27 sq in = approx. 52.73 sq in.
The difference is 52.73 sq in; the square is larger, the circle smaller.
Answer:75
Step-by-step explanation: Find the area of the triangle which is 1/2 base times height. The base is 9 while the height is 4+5+1 which is 10. 10 times 9 is 90 and half of 90 is 45. Then find the area of the rectangle which is length times width which is 5 times 3 which is 15. Then subtract 15 from 90 which gets you the answer 75.
<span>Length = x Width = 2x
Perimeter = 2 * length + 2 * width
= 2x + 4x
= 6x
6x = 66
x = 11
</span><span>Length = x Width = 2x
Perimeter = 2 * length + 2 * width
= 2x + 4x
= 6x
6x = 66
x = 11</span>
Answer:
90%
Step-by-step explanation:
Since Brandon has a 25% chance of hitting a target, and there is 8 targets, you can take 25% of 8. This will get you an answer of 2. So, in this way Brandon has a 90% chance of hitting at least one target.
