Answer:
∠ ADC = 110°
Step-by-step explanation:
∠ CDE = 90° ( angle between perpendicular lines ) , then
∠ CDB + ∠ BDE = 90°
∠ CDB + 20° = 90° ( subtract 20° from both sides )
∠ CDB = 70°
∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so
∠ ADC + ∠ CDB = 180° , that is
∠ ADC + 70° = 180° ( subtract 70° from both sides )
∠ ADC = 110°
Answer:
2 5/6
Step-by-step explanation:
9 5/12 - 6 7/12
We will need to borrow from the 9
8 12/12 + 5/12 - 6 7/12
8 17/12 - 6 7/12
(8-6) + (17/12 -7/12)
2 10/12
This simplifies. Divide the top and bottom of the fraction by 2
2 5/6
Exponent way n
exponetional way
Answer:
x1 = 2
x2 = -1/3
Step-by-step explanation:
3x^2-5x-2=0
D=25-4*(-2)*3 = 25 + 24 = 49 --> sqrt 49 = 7
x1 = 5 + 7 / 2*3 = 2
x2 = 5 - 7 / 2*3 = -1/3
Answer:
14.13 ft²
Step-by-step explanation:
The area of a semicircle is
We were given the radius of the semicircle to be: r=3 feet.
We were also asked to use π as 3.14.
We substitute into the formula to get:
This is the same as:
Or
The area of the semicircle is 14.13 ft²