Answer:
Step-by-step explanation:
The instants when hovercraft lands on the ground are those when h(x) = 0. Given that height function is a second-order polynomial in its factorized form, such instants are related to the roots of the function.
Time is a positive real number and the only possible solution:
X is the number
30(x²)=8x
minus 8 both sides
30x²-8x=0
factor out 30x
30x(x-8/30)=0
set each to zero
30x=0
x=0, nope, we said x can't be 0
x-8/30=0
x=8/30
x=4/15
the number is 4/15
Answer:
P(both romantic) = 0.7^2 = 0.49
P(at least one romantic) = 1-P(neither romantic)
Step-by-step explanation:
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
Angle 1 = 4x - 16
angle 2 = 2x + 10
4x - 16 + 2x + 10 = 90
combine like terms
6x - 6 = 90
add 6 to both sides
6x = 96
divide both sides by 6
x = 16
angle 1 = 4x - 16 = 4(16) - 16 = 48
angle 2 = 2x + 10 = 2(16) + 10 = 42
