Answer:
1. the translation from the original to the translated figure was 2 units up and 1 unit to the left
2. the points of the translated figure if it were translated 2 units down and 3 units to the right would be: A' (4,0), B' (6,-6), C' (5,3), D' (-1,0)
Step-by-step explanation:
Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Sin 45 = X / 14
X = 14 * sin45
X = 7√2≈9.89949
Thus ladder will reach to ≈ 9.9 (rouded-up) foot height in the building
True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).
To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.
23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601
I hope this helps!
The sampling distribution standard deviation is the population standard deviation divided by the root of the sample size.
sampling distribution standard deviation = 6.00/√36 = 1.00
