Answer:
the origin is point (0,0)
Step-by-step explanation:
part B) point (-1,1) you move one point to the left front the origin and 1 step upwards
point (1 ,-1.5) move one point to the right and 1 halves downwards
point (2,fraction 1 over 4) move two point to the right and a quarter upwards
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Answer:
807.8 in^2
Step-by-step explanation:
The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:
The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...
(18 in)(35.6 in) = 640.8 in^2
The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...
(9.6 in)(8.7 in) = 83.52 in^2
Then the total area is the lateral area plus the area of the two ends:
640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2
Answer:
240 cents
Step-by-step explanation:
Given that,
cost of one lollipop = 65 cents
total amount Josie need to paid = 65 * 4 cents = 260 cents
amount Josie gave = $5
As we know
$1 = 100 cents
$5 = 100 * 5 cents
= 500 cents
number of cents Josie will get back
500 - 260
240 cents or $2.40
So, Josie will get 240 cents back
