Answer:
x=34
Step-by-step explanation:
x+(x+12)+(100) = 180
2x+112=180
x=68
x=34
Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:
Now on differentiating both side with respect to x we get that:
When 
this means that 
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval ![[0,\pi]](https://tex.z-dn.net/?f=%5B0%2C%5Cpi%5D)
.
also we know that 
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:
Hence, the x-coordinates where for 
is 
.
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
Answer:
Mean
Step-by-step explanation:
You are X, if your friend is 1.2 times taller than you= 1.2X
That's why 64.5=1.2X
X=53.75
But you should write 53.8 inches tall. Because there is one number after point.
<span>As a result, you are 53.8 inches tall
</span>
