Answer:
There are 81 girls.
Step-by-step explanation:
First, take what we know and find how many people 1 in the ratio is:
54 / 2 = 27
(in this problem) 1 = 27
Now find how many girls are at the dance by multiplying by three:
27 x 3 = 81
There are 81 girls at the dance.
Answer:
AB = 6√3
Step-by-step explanation:
The triangle is a 30°, 60°, 90° triangle, and therefore side AC is equivalent to x√3, where x = length of the smallest side.
To find AB, we must first find x by dividing 6 by √3.

Therefore, x, in this case side BC, is equivalent to 3√3
Side AB, hour hypotenuse, is equal to 2x:
AB = 
Answer:
10
Step-by-step explanation:
Input Data :
Point 1 (
x
A
,
y
A
) = (-2, 3)
Point2 ( x
B
,
y
B
) = (6, 9)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points = √
(
6
− −
2
)
2
+
(
9
−
3
)
2
= √
8
2
+
6
2
= √
64
+
36
= √
100
= 10
Distance between points (-2, 3) and (6, 9) is 10
Answer:
The angular speed of the blade is of 166.67 rad/min
Step-by-step explanation:
The velocity, is given by the following equation:

In which r is the radius and w is the angular speed.
We use this relation to solve this question;
We have that:
. We want to find w. So




The angular speed of the blade is of 166.67 rad/min
1. Postulates.
Postulates are some logical statements. They don't need proof. They are considered to be universal truth and they build the base of the proof of different theorems and formulae.
2. 33 units
AD is the sum of AB, BC and CD. It will be more clear from the photo attached above.