zero point zero three two
Given is a composite figure where we have a semicircle and a triangle.
To find the area of the semicircle, we need diameter of the circle which is the distance between two given points (2,4) and (2,-3). So the diameter is 4-(-3) = 7 and radius would be 3.5 units.
Area of circle = π·r² = 3.14 × (3.5)² = 38.465
squared units.
So, area of semicircle = 38.465 ÷ 2 = 19.2325
squared units.
To find the area of the triangle, we need base and height of the triangle. The base is same as diameter = 7 and the height would be distance between given point (5,0) and (2,0), so height is 5-2 = 3.
Area of triangle 1/2 * 7 * 3 = 10.5
squared units.
Total area = Area of triangle + Area of semicircle = 10.5 + 19.2325 = 29.7325 squared units.
So, final answer is 29.7325 squared units.
Let x = ounces of $35 perfume
Let y = ounces of $15 perfume.
We want a 3-ounce perfume, therefore
x + y = 3
or
y = 3 - x (1)
We want the 3-ounce perfume to cost $63. Therefore
35x + 15y = 63 (2)
Substitute (1) in (2).
35x + 15(3 - x) = 63
35x + 45 - 15x = 63
20x = 63 - 45 = 18
x = 18/20 = 0.9
From (1), obtain
y = 3 - 0.9 = 2.1
Answer:
0.9 ounces of $35 perfume and 2.1 ounces of $15 perfume.
Formula for the area of a quarter circle: A = (pi x r^2) / 4
3.14 = (3.14 x r^2) / 4
3.14r^2 = 12.56
r^2 = 4
r = 2 meters
Hope this helps! :)
Answer:
I think it is D because on x, there is a jump of 2 to get from 1 to 3. Than a jump of 2 to get from 4 to 6. Then with y, jump of 4 to get from -1 to 3 than jump of 4 to get from 5 to 9
Step-by-step explanation: