Answer:
3. 100% because you know they will all land tails.
4. 30 ish% Because you know the quarter will land making the other two a 50/50 chance.
The 2nd one might not be right
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then





The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.

The hypotenuse can be found using Pythagoras Theorem.



3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are

and

4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,




Answer:
2x(x - 4)
Step-by-step explanation:

Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 3x - 2 is in this form with slope m = 3
• Parallel lines have equal slopes
Hence the slope of the parallel line = 3
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 3 and (a, b) = (- 3, - 14), hence
y + 14 = 3(x + 3) ← in point- slope form
Distribute and simplify
y + 14 = 3x + 9 ( subtract 14 from both sides )
y = 3x - 5 ← in slope- intercept form