16
––
30
because there are 30 inches in all and 16 out of the 30 are concrete
Step-by-step explanation:
Decide which of the following are quadratic equations.
(1) x2 + 5x – 2 = 0
(2) y2 = 5y – 10
(3) y2+
1
y
=2
(4) x+
1
x
=-2
(5) (m + 2) (m – 5) = 0
(6) m3 + 3m2 – 2 = 3m3
ANSWER:
(1) x2 + 5x – 2 = 0
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(2) y2 = 5y – 10
Only one variable y.
Maximum index = 2
So, it is a quadratic equation.
(3) y2+
1
y
=2
⇒y3+1=2y
Only one variable y.
Maximum index = 3
So, it is not a quadratic equation.
(4) x+
1
x
=-2
⇒x2+1=-2x
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(5) (m + 2) (m – 5) = 0
⇒m2-3m-10=0
Only one variable m.
Maximum index = 2
So, it is a quadratic equation.
(6) m3 + 3m2 – 2 = 3m3
Only one variable m.
Maximum index = 3
So, it is not a quadratic equation.
Answer:
AD=AC (as D is midpoint to from line AC the line AD=AC
Step-by-step explanation:
HENCE PROVED
Let the starting position be A, and the ending position of the glide be B.
The triangle ABC shown in the figure, is a right triangle with side lengths 16m and 0.8 m.
The angle of the squirrel's path below the horizon is BAC.
Using right triangle trigonometry:
tan(ABC)=(opposite side)/(adjacent side)=0.8/16=0.05
to find m(ABC) we calculate arctan(0.05) which is 2.86°
Answer: 2.86°