Answer:
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
Step-by-step explanation:
This answer is easily found using the Pythagorean Theorem:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
where A and B are the legs, and C is the hypotenuse of the triangle.
![{(16)}^{2} + {(6y)}^{2} = {(10y)}^{2} \\ 256 + 36{y}^{2} = 100 {y}^{2} \\ 256 = 64 {y}^{2} \\ \sqrt{256} = \sqrt{64 {y}^{2}} \\ 16 = 8y \\ y = 2](https://tex.z-dn.net/?f=%20%7B%2816%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%286y%29%7D%5E%7B2%7D%20%20%3D%20%20%7B%2810y%29%7D%5E%7B2%7D%20%20%5C%5C%20256%20%2B%20%2036%7By%7D%5E%7B2%7D%20%20%3D%20100%20%7By%7D%5E%7B2%7D%20%20%5C%5C%20256%20%3D%2064%20%7By%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Csqrt%7B256%7D%20%20%3D%20%20%5Csqrt%7B64%20%7By%7D%5E%7B2%7D%7D%20%5C%5C%2016%20%3D%208y%20%5C%5C%20y%20%3D%202)
Answer:
1568 cm
Step-by-step explanation:
Base x Height = Area
14 x 112 = 1568
Answer:
x=9
Step-by-step explanation:
The triangle is equilateral which means the sides are equal.
x+9 = 2x
Subtract x from each side
x+9-x = 2x-x
9 =x
Answer:
b+6
Problem:
If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
Step-by-step explanation:
We are given (b+c)/2=8 and d=3b-4.
We are asked to find (c+d)/2 in terms of variable, b.
We need to first solve (b+c)/2=8 for c.
Multiply both sides by 2: b+c=16.
Subtract b on both sides: c=16-b
Now let's plug in c=16-b and d=3b-4 into (c+d)/2:
([16-b]+[3b-4])/2
Combine like terms:
(12+2b)/2
Divide top and bottom by 2:
(6+1b)/1
Multiplicative identity property applied:
(6+b)/1
Anything divided by 1 is that anything:
(6+b)
6+b
b+6