Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
Answer: 19
Step-by-step explanation:
Answer:
x = 40
Step-by-step explanation:
The angles are vertical angles which mean they are equal
3x=120
Divide each side by 3
3x/3 = 120/3
x = 40
Answer: -240 = -4π / 3, 60 = π / 3, 270 = 3π / 2, 945 = 21π / 4, -30 = -π / 60, 195 = 13π / 12
Step-by-step explanation:
The formula for converting <em>Degrees </em>into <em>Radians </em>is <em>Degrees </em>* (π / 180) = <em>Radians</em>.
For -240, we have -240 * (π / 180) = -240π / 180 and simplifying gives us -4π / 3
60: 60 * (π / 180) = 60π / 180 = π/3
270: 270 * (π / 180) = 270π / 180 = 3π / 2
945: 945 * (π / 180) = 945π / 180 = 21π / 4
-30: -30 * (π / 180) = -30π / 180 = π / 60
195: 195 * (π / 180) = 195π / 180 = 13π / 12
