Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation
![\frac{21}{y} =\frac{y}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7By%7D%20%3D%5Cfrac%7By%7D%7B4%7D)
Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
Answer:
The answer is option D.
3u + 1 + 7y
All the terms here are different and cannot be combined
Hope this helps you
Answer:
3872/(x^2 - 2)
Step-by-step explanation:
Simplify the following:
(16^3 - 3^2 - 5×43)/(x^2 - 2)
3^2 = 9:
(16^3 - 9 - 5×43)/(x^2 - 2)
16^3 = 16×16^2:
(16×16^2 - 9 - 5×43)/(x^2 - 2)
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(16×256 - 9 - 5×43)/(x^2 - 2)
16×256 = 4096:
(4096 - 9 - 5×43)/(x^2 - 2)
43 (-5) = -215:
(4096 - 9 + -215)/(x^2 - 2)
4096 - 9 - 215 = 3872:
Answer: 3872/(x^2 - 2)
Answer:
7
Step-by-step explanation:
V = base x height
base = 5 x 6
5 x 6 = 30
V = 210
H = V/Base
H = 210/30
210/30 = 7
H = 7