Answer:
6.335
Step-by-step explanation:
Answer:
100 degrees
Step-by-step explanation:
angle x and y are 100 degrees
angle x and y are the same because of the angle marks the question gives
next if we think of this mathematically, we know that all the angle degrees must = 360 so,
360=60+2x+x
x=100
A.) 15/45 or 1/3 or .33%
B.) 10/55 or 2/11 or .1818...
The length of the walkway is 24 ft, and you will need 24 stones to cover it.
<h3>
What is the length of the walkway?</h3>
The length of the walkway will be equivalent to the hypotenuse of a right triangle with cathetus of 23ft and 18ft, so we can use the Pythagorean theorem to get it:
L^2 =(23fy)^2 + (18ft)^2
L = √( (23fy)^2 + (18ft)^2 ) = 23.77ft
The walkway is 23.77 ft long.
Rounding to the nearest foot, the length is 24 ft.
b) If each stone covers 1 ft, then you will need 24 stones.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
a) (x + 5) (x - 5)
b) (x + 5i) (x - 5i)
c) (x + (5i/2)) (x - (5i/2))
d) (x-1)(x-1)
e) x +i√3 +1) (x -i√3+1)
Step-by-step explanation:
To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x
a) f(x) = x²-25
x²-25 = 0
⇒(x + 5) (x - 5)
b) f(x)=x²+25
x² + 25 = 0
x²= -25
x = √-25
x = √25i
x = ±5i
⇒(x + 5i) (x - 5i)
c) f(x)=4x²+25
4x²+25 = 0
4x²= -25
x² = -25/4
x = ±√(-25/4)
x = ±(√25i)/2
x = ±5i /2
⇒(x + (5i/2)) (x - (5i/2))
d) f(x)=x²-2x+1
x²-2x+1 = 0
⇒(x - 1)²
e) f(x)=x²-2x+4
x²-2x+4 = 0
x²-2x = -4
x²-2x +1 = -4 +1
x²-2x + 1 = -3
(x-1)² +3 = 0
(x-1)²= -3
x-1 = √-3
x = ±√3i +1
⇒(x +i√3 +1) (x -i√3+1)
