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:

Step-by-step explanation:

Cost of Apples:

Cost of oranges:

Total cost:


Answer:
53.13
Step-by-step explanation:
To find the measure of an angle use an inverse trig function.
so you can take the inverse to find A
.
Use a calculator to calculate the value.
A = 53.13
Answer: 9πcm²
Step-by-step explanation: area of the square= 36cm²
Therefore, the area of one side= √area = √36 = 6cms
Since the circle is touching the sides of the square, the side of the square = the diameter of the circle
Therefore the radius of the circle= side/2 = 3cm
The formula for the ares of the circle is πr²
π*3*3 = 9πcm²
Answer: 
<u>Step-by-step explanation:</u>

Restriction: 6x + 3 ≠ 0 <em>denominator cannot be zero</em>
<u> -3 </u> <u> -3 </u>
6x ≠ -3
<u> ÷6 </u> <u>÷6 </u>
x ≠ 