Answer:
23.6
Step-by-step explanation:
Hello There!
So they want us to find ∠Z
We are given ∠Zs opposite side length and the length of the hypotenuse
Sine refers to opposite divided by hypotenuse
So we can use sine to solve for ∠Z
![SinZ=\frac{6}{15} \\\frac{6}{15} =.4\\SinZ=.4\\Z=arcsin(.4)\\Z=23.57817848](https://tex.z-dn.net/?f=SinZ%3D%5Cfrac%7B6%7D%7B15%7D%20%5C%5C%5Cfrac%7B6%7D%7B15%7D%20%3D.4%5C%5CSinZ%3D.4%5C%5CZ%3Darcsin%28.4%29%5C%5CZ%3D23.57817848)
Note: arcsin is the inverse of sin
Other way we could find ∠Z:
We could also use law of sines which states that a side length divided by sin(its opposite angle) is equal to a different side length divided by sin ( its opposite angle)
So specifically for this triangle
![\frac{15}{sin90} =\frac{6}{sinZ}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Bsin90%7D%20%3D%5Cfrac%7B6%7D%7BsinZ%7D)
step 1 multiply each side by 6
note : flip the fraction
![\frac{6sin90}{15} =sinZ\\\frac{6sin90}{15}=.4\\.4=sinZ\\arcin(.4)=23.57817848\\Z=23.57817848](https://tex.z-dn.net/?f=%5Cfrac%7B6sin90%7D%7B15%7D%20%3DsinZ%5C%5C%5Cfrac%7B6sin90%7D%7B15%7D%3D.4%5C%5C.4%3DsinZ%5C%5Carcin%28.4%29%3D23.57817848%5C%5CZ%3D23.57817848)
Then our final step is to give our answer to the first decimal place
so the answer would be 23.6
Answer:
x²+1 is the second
Step-by-step explanation:
2x+24=40°
4x+43=75°
x²+1=65°
(2x+24) + (4x +43) + (x²+1)=180
x²+6x+68=180
x1=-14
x2=8
since there's no negative angle, we'll use x=8
Answer:
h= 2 p=1.75 i used elimination method
All you have to do is multiply 2.3 by 13 together to get 29.9. Then you would subtract that by the total volume which would get 107.64. That's the width.