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,




Answer:
m = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos 30 = 5 sqrt(3) / m
m cos 30 = 5 sqrt(3)
m = 5 sqrt(3) / cos 30
m = 5 sqrt(3) / sqrt(3)/2
m = 5 / (1/2)
m = 10
Answer:
3y ≥ 63
Step-by-step explanation:
Ill tell you how I did it hold on
It would be 9 because -9 would be 9 away, here ill show you
----> -9,-8,-7,-6,-5,-4,-3-2,-1,0,1,2,3,4,5,6
it might trick you with the values but just look at their places