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:
See below ~
Step-by-step explanation:
Completing the square :
- 9y² - x - 18y + 10 = 0
- 9y² - 18y + 9 - 9 - x + 10 = 0
- <u>(3y - 3)² - x + 1 = 0</u>
<u></u>
Graph :
When shifted to the right 1 unit it would be:
f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5
<span>= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5 </span>
<span>= x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5 </span>
<span>= x^3 - x^2 - 4x - 1
</span>I hope this helps
Answer:
the length and the width are inversely proportional to each other ( or )
Step-by-step explanation:
Let
l units = length of the rectangle,
w units = width of the rectangle.
The area of the rectangle is
A rectangle has an area of 36 square units, so
Complete the table with some values of l and w that fit the previous formula:
As you can see, the length and the width are inversely proportional to each other ( or )
Answer:
u=72
v=61
Step-by-step explanation:
for U:
54+54=108
180-108=72
For V:
180-58=122
122/2=61