Answer:
I will be able to tie the boat in 2 hours.
Step-by-step explanation:
f(t)=4sin(πt/12)+7
At t=0, f(t)=7
we must find t in which f(t)=9, we can replace this and simply solve for t, also, we will be working with radians as units:
9=4sin(πt/12)+7
2=4sin(πt/12)
1/2=sin(πt/12)
arc sin(1/2)=πt/12
π/6=πt/12
12π/π6=t
2=t
So this is our number. To be sure of this we can replace 2 as t in out oiginal equation
f(2)=4sin(π2/12)+7=9
Step-by-step explanation:
isosceles triangle (|>) this but right side up
Answer:
7.) 16.7
Step-by-step explanation:
7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle
Using the pythagrorem theorem a² + b² = c²
4² + b² = 5²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² =√9
b = 3
next you do the same thing to find the missing segment of the longest side
3² + b² = 13²
b² = 169 - 9
b² = 160
b = √160 or ≈ 12.7
12.7 + 4 = 16.7
so 16.7 is the length of that side
ANSWER
The x intercept is
![(-12,0).](https://tex.z-dn.net/?f=%28-12%2C0%29.)
The y intercept is
![(0, - 20).](https://tex.z-dn.net/?f=%280%2C%20-%2020%29.)
EXPLANATION
The equation of the given line is
![- 10x - 6y = 120](https://tex.z-dn.net/?f=%20-%2010x%20-%206y%20%3D%20120)
At x-intercept
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
We substitute this y value to obtain the corresponding x value.
This implies that,
![- 10x - 6(0)= 120](https://tex.z-dn.net/?f=%20-%2010x%20-%206%280%29%3D%20120)
![- 10x - 0 = 120](https://tex.z-dn.net/?f=%20-%2010x%20-%200%20%3D%20120)
![- 10x = 120](https://tex.z-dn.net/?f=%20-%2010x%20%20%3D%20120)
We divide both sides by -10 to get,
![x = - 12](https://tex.z-dn.net/?f=x%20%3D%20%20-%2012)
The x-intercept is
![(-12,0).](https://tex.z-dn.net/?f=%28-12%2C0%29.)
At y-intercept also,
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
We substitute this value of x into the equation to find the corresponding y-value.
This implies that,
![- 10(0) - 6y = 120](https://tex.z-dn.net/?f=%20-%2010%280%29%20-%206y%20%3D%20120)
![- 0- 6y = 120](https://tex.z-dn.net/?f=%20-%200-%206y%20%3D%20120)
![- 6y = 120](https://tex.z-dn.net/?f=%20%20-%206y%20%3D%20120)
We divide through by -6 to get,
![y = - 20](https://tex.z-dn.net/?f=y%20%3D%20%20-%2020)
The y-intercept is
Answer:
i think ur right but i dont know for sure i did the math and got that
Step-by-step explanation: