Answer:
x = 11.5
Step-by-step explanation:
Formula
a^2 = b^2 + c^2 - 2*b*c * cos(A) Substitute givens in formula
Givens
- b = 31
- c = 26
- A = 21o
- a = x Let a = x to present the formula in it's most normal way
Solution
a^2 = 31^2 + 26^2 - 2 * 31 * 26 * cos(21) Find -2*31*26*cos(21)
a^2 = 961 + 676 -1504.93 Combine
a^2 = 1637 -1504.93 Combine again
a^2 = 132.07 Take the √ on both sides
√a^2 = √132.07
a = 11.5 Rounded.
Answer
x = 11.5
Answer:
B (1 , 3) , D (1 , -2)
Step-by-step explanation:
∵ A (-3 , 3) , C (-3 , -2)
∵ They have the same x-coordinate
∴ AC is a vertical segment its length = 3 - -2 = 5
∵ The area of the rectangle = 20
∴ The width of it = 20 ÷ 5 = 4
∴ x-coordinate of B: -3 + 4 = 1
∴ y-coordinate of B : 3 ⇒ AB horizontal segment
∴ B (1 , 3)
∵ x-coordinate of BD is 1 ⇒ BD is vertical segment
∵ y-coordinate = 3 - 5 = -2
∴ D (1 , -2)
Answer:
y = 3 - 2x
Step-by-step explanation:
The goal is to isolate the y variable
In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.
Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:
y = 3 - 2x
Now the y is isolated
Another example:
-5x + y = 15
To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:
y = 15 + 5x
Answer:
245/999
Step-by-step explanation:
0.245bar = n
1000 n - n = 245
999n = 245
n = 245/999
24.5x.18=4.41
$4.41 is how much you save with the discount. You subtract this amount from the regular price.
24.5-4.41=20.09
The sale price of the item should be $20.09
