That's going to depend on what the ordered pair of the original point Q
was ... an important piece of information that you forgot to give us.
Sqr root of 56 - sqr root of 14 + sqr root of 126= sqr root of (4x14) - sqr root of 14 + sqr root of (9x14)= 2(sqr root of 14) - (sqr root of 14) + 3(sqr root of 14)= 4(sqr root of 14)
The right answer will be B.
Answer:
98 yd²
Step-by-step explanation:
From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.
The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd
The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:
a² + a² = 14²
2a² = 196
a² = 98
a = √98 = 7√2
The length of the side of the triangle = a = 7√2 yd
The area of the rectangle = length × length = 7√2 × 7√2 = 98 yd²
The speed of the river is ...
.. (40 m/min)*(60 min/h)*((1 km)/(1000 m)) = 2.4 km/h
speed = distance/time
Let d represent the distance between the ports. Let s represent the speed of the ship.
Downstream, we have
.. s +2.4 = d/4.5
.. s = d/4.5 -2.4
Upstream, we have
.. s -2.4 = d/6/3
.. s = d/6.3 +2.4
Now, we have the speed of the ship represented two ways. We assume the speed of the ship doesn't vary. so these are equal.
.. (d/6.3) +2.4 = (d/4.5) -2.4
.. 4.8 = d(1/4.5 -1/6.3) = d(4/63) . . . . . rearrange and simplify
.. 75.6 = d . . . . . . . . . . . . . . . . . . . . . . .multiply by 63/4
The distance between the two ports is 75.6 km.
Answer:
0.0214
Step-by-step explanation:
We can get these answer by finding the z-scores at first
Mathematically;
z-score = x-mean/sd
For 900;
z-score = 900-750/75 = 150/75 = 2
For 975
z-score = (975-750)/75 = 3
So the probability we want to calculate is;
P(2<x<3)
This can be calculated using the standard normal distribution table
From the standard score table;
P(2<x<3) = 0.0214