6√3
Step-by-step explanation:
6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3
Answer:
See below
Step-by-step explanation:
<u>Sides of the garden</u>
<u>New dimensions of the garden</u>
<u>1. The area of the new garden</u>
- (16 + 2x)(8 + x) =
- 2x^2 + 32x + 128
<u>2. The difference in area </u>
- 2x^2 + 32x + 128 - 16*8 =
- 2x^2 + 32x
<u>3. x= 2 effect on the area</u>
- 2*2^2 + 32*2 =
- 8 + 64 =
- 72 ft²
<u>4. Area difference = 160</u>
- 2x^2 + 32x = 160
- x^2 + 16x - 80 = 0
- Solving we get positive root of 4 ft
<u>5. Area difference = 4 times</u>
- 2x^2 + 32x = 128*3
- 2x^2 + 32x - 384 = 0
- x^2 + 16x - 192= 0
- Solving we get positive root of 8 ft
Answer:
10 yards
Step-by-step explanation:
Every 1 yard is 3 feet, the cloth is 30 feet
30 ÷ 3 = 10
The cloth is 10 yards.
Hope this helps!
If you treat multiplication as repeated a<span>ddition, then y</span>es, Juan is correct. Only equal groups can be multiplied.
Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
