Answer:
ASK you teacher very confusing
Answer: B. 25.2 units
Step-by-step explanation:
The kite consists of 4 right angle triangles. The two smaller right angles are equal. Also, the two bigger right angles are equal.
To determine the hypotenuse of each triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Considering the smaller triangle,
Hypotenuse² = 4² + 3² = 16 + 9 = 25
Hypotenuse = √25 = 5
Considering the smaller triangle,
Hypotenuse² = 7² + 3² = 49 + 9 = 58
Hypotenuse = √58 = 7.616
The perimeter of the kite is the sum of the length of each side. Therefore,
Perimeter = 5 + 5 + 7.616 + 7.616 = 25.2 units to the nearest tenth
Hey there! :)
2(3/5n + 3) - (2/3n - 1)
Simplify.
(2 * 3/5n) + (2 * 3) - (2/3n -1)
Simplify.
6/5n + 6 - 2/3n + 1
Add like terms.
(6/5n - 2/3n) + (6 + 1)
Make the fractions have the same denominator by multiplying fraction 1 (6/5n) by 3/3 and fraction 2 (-2/3n) by 5/5.
6/5n * 3/3 = 18/15n
-2/3n * 5/5 = -10/15n
So, our new equation looks like this : (18/15n - 10/15n) + (6 + 1)
Simplify.
8/15n + 6 —> final answer.
Hope this helped! :)
<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
