In a 45 45 90 triangle, the hypotenuse = leg * square root of 2
So x = 18*sq root of (3) * sq root of (2)
x = 18 * sq root of 6
http://www.1728.org/trig2.htm
X=rcos(t), y=rsin(t). so y/sin(t) = r => csc(t) = r/y. so for now we have r*(r/y)=8. To solve for r, do x^2 + y^2 = r^2, so r=sqrt(x^2 + y^2). So we have sqrt(x^2 + y^2<span>)*(sqrt(x^2 + y^2<span>)/y</span>)=8, or (x^2+y^2)/y = 8, or x^2/y + y = 8.</span>
If P is the midpoint of DE, then DE = DP + PE and DP = PE.
Therefore DE = 2DP.
We have DP = 3x + 2 and DE = 10x - 12.
The equation:
10x - 12 = 2(3x + 2) <em>use distributive property</em>
10x - 12 = (2)(3x) + (2)(2)
10x - 12 = 6x + 4 <em>add 12 to both sides</em>
10x = 6x + 16 <em>subtract 6x from both sides</em>
4x = 16 <em>divide both sides by 4</em>'
x = 4
DP = 3x + 2 → DP = 3(4) + 2 = 12 + 2 = 14
<h3>Answer: DP = 14 units.</h3>
Answer:
Step-by-step explanation:
Substitute y = x-4 in the first equation.
Distribute -2 in the expression.
Because we only want to find the value of x.
Therefore the answer is -4.
Answer:
1500 points
Step-by-step explanation:
Given
Required
Determine the total score in first 4 games
This question illustrates a geometry progression and will be solved as follows:
Where
<em>Hence, the score in first four games total 1500 points</em>