Answer:
A) y = 
, x = 11
Step-by-step explanation:
We can use the 60 degree angle to help us solve this.
Remember: tan(angle) = opposite/adjacent
Using this formula, we get that
tan (60 degrees) = y / (11/2)
This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.
Simplifying this expression, we get that
= y/(11/2)
Multiplying both sides by 11/2, we get
= y
We can now use the pythagorean theorem to help us solve for x
Remember: a² + b² = c²
Since x is the hypotenuse, it is the c value. Therefore, we get:
(11/2)² + ()² = x²
Simplifying this, we get
+ 
= x²
Simplifying this some more, we get
484/4 = x²
121 = x²
Taking the square root of both sides, we get that
x = 11
I hope this helps!
Answer:
the answer is 1/3
Step-by-step explanation:
Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
The answer is B. I did the test and i got it right
Answer: should be 1/2
Step-by-step explanation:
It’s been a while but I believe scaling the triangle by 1/2 will end with a reduction, a smaller triangle.
I know pretty sure anything equal and larger then 1 would make the triangle grow.
