Answer:
Step-by-step explanation:
By geometric mean theorem,
In a triangle ABC,
![\frac{BC}{AC}=\frac{CD}{BC}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAC%7D%3D%5Cfrac%7BCD%7D%7BBC%7D)
![\frac{y}{(4+6)}=\frac{6}{y}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B%284%2B6%29%7D%3D%5Cfrac%7B6%7D%7By%7D)
y² = 60
y = √60
y = 7.75
Similarly, ![\frac{AB}{AC}=\frac{AD}{AB}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAC%7D%3D%5Cfrac%7BAD%7D%7BAB%7D)
![\frac{x}{(4+6)}=\frac{4}{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B%284%2B6%29%7D%3D%5Cfrac%7B4%7D%7Bx%7D)
x² = 40
x = √40
x = 6.32
Answer:
a), b), e)
Step-by-step explanation:
<em>a) -30(3 + 2w) = -90 - 60w</em>
<em>b) (-9 − 6w) x 10 = -90 - 60w</em>
c) -3(30 - 20w) = -90 + 60w
d) (6 + 4w) × 15 = 90 + 60w
<em>e) −20(4.5 + 3w) = -90 - 60w</em>
Answer:
d
Step-by-step explanation:
40% = 40/100
40/100 X = 8
X = 800/40 = 20
X% of 40 = 20/100*40 = 8
So area is 168 sq ft
That means that length * width = 168 sq ft
Since length = 10 + 2 w
we get (10+2w)(w) = 168
Multiply it out and you get 2w^2 + 10w - 168 = 0
This is a quadratic equation. You can use the formula here, but i'll just tell you the answer
w = -12, or 7
since it can't equal -12 (ever heard of a barn with a length of -12?), you figure out the answer is 7.
If the width is 7, then the length is 10+2(7) = 24.
Have a nice day!