To find the tan x use the following formula
tan x = (sin x)/(cos x)
tan x = (1/2)/(sqrt (3)/2)
tan x = 1/sqrt (3) = sqrt (3)/3 or E
Answer:
The coordinates of b are: (x, y) = (3, -4)
Step-by-step explanation:
Given
Given that the midpoint of the ab is:
The coordinates of a are:
To determine
The coordinates of b = ?
Let b (x, y) be the coordinates of b.
Given that the midpoint of the ab is m(-2, -1)
Thus,
(x - 7) / 2 = -2, (y + 2) /2 = -1
now solving
(x - 7) / 2 = -2
(x - 7) = -2 × 2
x - 7 = -4
adding 7 in both sides
x - 7 + 7 = -4 + 7
x = 3
and solving
(y + 2) /2 = -1
(y + 2) = -1 × 2
y + 2 = -2
subtracting 2 from both sides
y + 2 - 2 = -2 - 2
y = -4
Thus,
The coordinates of b are: (x, y) = (3, -4)
Answers: 1:B, 2:450
How-To:
Using the formula for area on the bottom of the can, (pi*r^2) you can then multiply by the amount of height missing, which is 4.
Since it was originally 10, you subtract 4 in order to get 6.
That's how to get 4.
Now, plug in pi*r^2 into a calculator (or if you must work it out, radius, r, is 10, so 10*10 is 100. 100*3.14159265 is 314.159265
Now multiply 314 by the height missing (4) to get approximately 1257.
Now for number 2.
It says it is dilated by a scale factor of 1:3 (from 1350). That means that it was made smaller, (that's what dilated means) by 3 for every 1. So take 1350 and divide it by 3 to get 450
Answer:
Step-by-step explanation:
2x + 3y - x - 9
x + 3y - 9
