Answer:
Step-by-step explanation:
Wat is the question lol
Answer:
5.7
Step-by-step explanation:
The altitude divides right triangle ABC into similar right triangles ADB and BDC. The ratios of short leg to long leg will be proportional in these similar triangles, so you have ...
AD/BD = BD/CD
Cross multiplying gives ...
AD·CD = BD²
(x+3)(2x+3) = 5²
2x² +9x = 16 . . . . . perform the multiplication, subtract 9
2(x² +4.5x) = 16
2(x² +4.5x +2.25²) = 16 +2(2.25²) . . . . . add 2(2.25²) to complete the square
2(x +2.25)² = 26.125 . . . . . write as a square
x +2.25 = √13.0625 . . . . . .divide by 2, take the positive square root
x = -2.25 +√13.0625 . . . . subtract 2.25 to find x
We want the value of CD, so ...
CD = 2x +3 = 2(-2.25 +√13.0625) +3
CD = -1.5 +2√13.0625 ≈ 5.7284
The length of CD is about 5.7 units.
Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again
10 + 3 square root 27/1000 - 5
Step 2: calculate the cube root
10 + 3/10 -5
Step 3: subtract the #’s
5 + 3/10
Step 4: calculate and you get
53/10
Answer: 53/10
1. We assume, that the number 320 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 320 is 100%, so we can write it down as 320=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 320=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
320/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 320
320/x=100/45
<span>(320/x)*x=(100/45)*x - </span>we multiply both sides of the equation by x
<span>320=2.22222222222*x - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>320/2.22222222222=x </span>
<span>144=x </span>
x=144
<span>now we have: </span>
<span>45% of 320=144</span>
Answer: You too whos next
Man.