A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3>Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .</h3>

3 0

2 years ago

How do you simplify the expression (s+t)3

bonufazy [111]

Answer:

3s + 3t

Step-by-step explanation:

To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:

(s + t) * 3 =

3s + 3t

And that is the simplified form for this expression.

Hope this helps :)

6 0

2 years ago

A sequence of digits has the property that each pair of successive digits, taken in the order written, forms a decimal numeral r

alex41 [277]

Answer:

Concept: Mathematical Sequences

Let An be 99 a double digit multiple
The sequence is finite.
Finite= restricted and not bounded to positive infinity
By that logic the last possible digit is 999999999999999999999999999999999999999999999

7 0

2 years ago