![x \leqslant - 6](https://tex.z-dn.net/?f=x%20%5Cleqslant%20%20-%206)
x/3+17is less than or equal to 15
x/3is less than or equal to 15-17
xis less than or equal to -6
Answer:
The length of the angle bisector of angle ∠A is 6.01.
Step-by-step explanation:
It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.
Using pythagoras theorem
![(AB)^2=(BC)^2+(AC)^2](https://tex.z-dn.net/?f=%28AB%29%5E2%3D%28BC%29%5E2%2B%28AC%29%5E2)
![(13)^2=(BC)^2+(5)^2](https://tex.z-dn.net/?f=%2813%29%5E2%3D%28BC%29%5E2%2B%285%29%5E2)
![169=(BC)^2+25](https://tex.z-dn.net/?f=169%3D%28BC%29%5E2%2B25)
![BC=12](https://tex.z-dn.net/?f=BC%3D12)
![\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}](https://tex.z-dn.net/?f=%5Csin%20A%3D%5Cfrac%7B%5Ctext%7Bperpendicular%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D)
![\sin A=\frac{BC}{AB}](https://tex.z-dn.net/?f=%5Csin%20A%3D%5Cfrac%7BBC%7D%7BAB%7D)
![A=\sin ^{-1}\frac{12}{13}](https://tex.z-dn.net/?f=A%3D%5Csin%20%5E%7B-1%7D%5Cfrac%7B12%7D%7B13%7D)
![A=67.38](https://tex.z-dn.net/?f=A%3D67.38)
Bisector divides the angle in two equal parts, therefore,
![A'=\frac{67.38}{2} =33.69](https://tex.z-dn.net/?f=A%27%3D%5Cfrac%7B67.38%7D%7B2%7D%20%3D33.69)
In triangle ACD.
![\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Ccos%20A%27%3D%5Cfrac%7B%5Ctext%7BBase%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\cos A'=\frac{AC}{AD}](https://tex.z-dn.net/?f=%5Ccos%20A%27%3D%5Cfrac%7BAC%7D%7BAD%7D)
![\cos (33.69^{\circ})=\frac{5}{AD}](https://tex.z-dn.net/?f=%5Ccos%20%2833.69%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B5%7D%7BAD%7D)
![0.832=\frac{5}{AD}](https://tex.z-dn.net/?f=0.832%3D%5Cfrac%7B5%7D%7BAD%7D)
![AD=\frac{5}{0.832} =6.009\approx 6.01](https://tex.z-dn.net/?f=AD%3D%5Cfrac%7B5%7D%7B0.832%7D%20%3D6.009%5Capprox%206.01)
Therefore the length of the angle bisector of angle ∠A is 6.01.
Answer:
2
Step-by-step explanation:
In this case, you have to substitute the w for -1, and then do the operation:
-6( -1 )^2 + 13( -1 ) + 21
-6( 1 ) - 13 +21
-6 -13 + 21
-19 + 21
2
Answer:
-10
Step-by-step explanation: