Answer:
(x, y ) → (x + 2, y - 4 )
Step-by-step explanation:
Compare the coordinates of 2 corresponding points in the original and the image, that is
B(- 5, 4 ) → B'(- 3, 0 )
To translate from B → B'
We require a shift of 2 units right in the x direction and 4 units down in the y direction, that is
(x, y ) → (x + 2, y - 4 ) ← translation rule
Answer:
56.52
Step-by-step explanation:
This is because in order to find an area of a circle you must do R^2*3.14 and since it is a semicircle add /2 so R^2*3.14/2 and since half of 12 is 6, 6*6 is 36 and 36*3.14 is 113.04 and divide that by 2 which is 56.52
d. x = 2, DF = 7, EG = 7
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
<h3>How to calculate the volume?</h3>
The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
brainly.com/question/1972490
