Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
Answer:
<h3>2x+2y = 100</h3>
Step-by-step explanation:
Total number of points in the test = 100points
If the test has x questions worth 2 points apiece, then the total number of points for x questions with 2 points each will be 2 * x i.e 2x........ 1
Also, if y questions worth 4 points apiece then the total number of points for y questions with 4 points each will be 4 * x i.e 4x ....... 2
Total points = eqn 1 + eqn 2
100 = 2x+ 2y
Rearrange
2x+2y = 100
Hence an equation in Standard Form that would model this situation is 2x+2y = 100
A- Veronica —> v=5+2m
Total —> v+m=32
B- since you already know that to get veronica’s number of stuffed animals, you need to use v=5+2m, you need to substitute it in the total equation. So it’ll be:
(5+2m)+m=32
(5+2m) represents veronica’s stuffed animals
m represents Mariposa’s stuffed animals
C- Mariposa —> 9
Veronica —> 23
Answer:
A
Step-by-step explanation:
We are given:
![\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Csin%5E2%28x%29-%5Csin%28x%29-2%7D%7B%5Csin%28x%29-2%7D)
To make it simpler and more clear, we can let u = sin(x). So:
![\displaystyle \frac{u^2-u-2}{u-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bu%5E2-u-2%7D%7Bu-2%7D)
Now, it becomes obvious that we can factor, which produces:
![\displaystyle =\frac{(u-2)(u+1)}{u-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3D%5Cfrac%7B%28u-2%29%28u%2B1%29%7D%7Bu-2%7D)
Cancel:
![=u+1](https://tex.z-dn.net/?f=%3Du%2B1)
And substituting back:
![=\sin(x)+1](https://tex.z-dn.net/?f=%3D%5Csin%28x%29%2B1)
Hence, our answer is A.
Answer31 i don't know :(
Step-by-step explanation: