Answer:
x = 16
Step-by-step explanation:
Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
11x = 8(6 + x) ← distribute
11x = 48 + 8x ( subtract 8x from both sides )
3x = 48 ( divide both sides by 3 )
x = 16
Answer:
here's what I got from wikipedia (i dont like taking of other's brain skills :/ )
Step-by-step explanation:
<em>1:12 scale is a traditional scale (ratio) for models and miniatures, in which 12 units (such as inches or centimeters) on the original is represented by one unit on the model. Depending on application, the scale is also called one-inch scale (since 1 inch equals 1 foot)</em>
<em>hope this helps you :)</em>
Answer:
D: -1/12
Step-by-step explanation:
If a^ x = b then:
x = log_{a}b
For:
4^{7} = 16384 \\ log _{4}16384 = 7
Answer:
5 units
Step-by-step explanation:
The <u>volume of the cylinder</u> is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.
⇒ πr²h = Volume of cylinder
⇒ (π)(3²)(h) = 45π
Now, simplify the equation to evaluate the area of the cylinder.
⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)
⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units
