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:
True
Step-by-step explanation:
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
Multiply 80 by 14 to get how many total people they can feed.
80 times 14 is 1120.
Now, divide 1120 by 32 to get how many days the food will last if 32 people come every day.
1120/32 = 35.
The answer is B, 35 days
Your answer can only be simplified to
256x^10 - 384^8 - 448^6