Answer:
First choice: m = -4
Step-by-step explanation:
The second equation is already solved for n, so lets's use the substitution method and substitute m - 2 for n in the first equation.
m - 2n = 8
m - 2(m - 2) = 8
m - 2m + 4 = 8
-m + 4 = 8
-m = 4
m = -4
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,




1. $5.76/64 Ounces
2. $1.80/15 Ounces
1. $0.09/ounce
2. $0.12/ounce
So, in conclusion, the 64 ounce bottle is cheaper than the 15 ounce bottle by $0.03.
Answer:
Step-by-step explanation:
<u>Use trigonometry to help</u>
- cos = adjacent side/hypotenuse
- hypotenuse = adjacent side / cos
<u>Substitute values:</u>
- Distance between the Sun and the Moon = y / cos x