rounded part is a semicircle so the area for that is the area of a circle ÷ 2
so
area of the rectangle + (area of the circle ÷ 2) = answer
24 * 14 = 336 = area of the rectangle
14 ÷ 2 = r
(pi * 7^2) ÷ 2
(pi * 49) ÷ 2 = 153.86 ÷ 2 = 76.93 = area of semicircle
336 + 76.93 = 412.93 ft^2 = answer
Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
Answer:
4.8 miles
Step-by-step explanation:
We can write a ratio to solve
6 miles x miles
------------ = --------------
55 minutes 44 minutes
Using cross products
6 * 44 = 55 * x
Divide each side by 55
6*44/55 = 55x/55
4.8 miles = x
Answer:
38.66
Step-by-step explanation:
Answer:
85
Step-by-step explanation:
Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85
