Given:
Max's house has two steps on the front porch.
Size of each step is the same.
To find:
The total vertical distance covered by the two steps.
Solution:
From the given figure, it is clear that,
Base length of each step = 6 in
Hypotenuse = 10 in
Let h be the vertical height of each step.
Using Pythagoras theorem, the vertical height of one step is
Taking square root on both sides.
Height cannot be negative. So, h = 8 in.
Now,
Vertical height of 2 steps = 
= 
So, the total vertical distance covered by the two steps is 16 in.
Therefore, the correct option is A.
9514 1404 393
Answer:
10x -30y = 3
Step-by-step explanation:
In general form, you can start by swapping the x- and y-coefficients, negating one of them. To find the new constant for the equation, substitute the values for the given point
2x -6y = 2(-3.9) -6(-1.4)
2x -6y = 0.6
Multiplying by 5 will make the numbers be integers, so will put the equation in standard form.
10x -30y = 3
The first question's answer is the second choice. The second question's answer is the first choice. The third question's answer is the second choice.
Area of a triangle: (1/2)bh, where b = base and h = height
(1/2) x 4 x (11/2)
= (4/2) x (11/2)
= 2 x (11/2)
= 11
Since it is a parallelogram cente at point T,
then the measure of PT is equal to the measure of TR. And the measure of QT is
equal to the measure of TS.
PT = TR
a + 4 = 2a
4 = 2a -a
a = 4
PT = TR = 8 units
QT = TS
b = 2b -3
3 = 2b – b
b = 3
<span>QT = TS = 3 units</span>
