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,
Given : supply voltage = 120V;60 Hz
Inductive Reactance 
Ω
The inductive reactance is given by the formula, 
, where L is inductance and 
is given by formula, 
Apply this, we can say that, 
20/500
0.04 of a chance
because 1 chapter has 20 pages and the book has 500
so the chance of you flipping to chapter 12 out of 500 pages is 4% of a chance
Answer:
<h2>C. 323 ft²</h2>
Step-by-step explanation:
1 yard = 3 feet
5yd 2ft = (5)(3)ft + 2ft = 17ft
6yd 1ft = (6)(3)ft + 1ft = 19ft
The formula of an area of a rectangle:
A = wl
w - width
l - length
Substitute w = 19ft and l = 17ft:
A = (19)(17) = 323 ft²
Answer:
let the larger and smaller number be x and y respectively
first condition
x + y = 49
second condition
3x = 2y+97
3x-2y =97
Multiplying first condition by two and adding both equations
2x + 2y = 98
<u>3x -2y = 97</u>
5x = 195
x = 195/5 = 39
putting the value of x in
x + y = 49
y = 49 -39 = 10
again
Step-by-step explanation:
