Answer:
The value of angle BAC = 75°
Step-by-step explanation:
=> Angle BAC + 105° = 180°
=> Angle BAC = 180° - 105°
=> Angle BAC = 75°
Answer:
The solution of this system of equations is (3 , -8)
Step-by-step explanation:
The given system is
x + 2y = -13
12x + 5y = -4
We make x the subject of the first equation and put it into the second:

We put this expression for x into the second equation
12(-13-2y)+5y=-4
-156-24y+5y=-4
-24y+5y=-4+156
-19y=152
y=-8
We substitute y=-8 into x=-13-2y to get:

The solution of this system of equations is (3 , -8)
Slope formula : y2 - y1 / x2 - x1
( 34 , 12 ) and ( 32 , 48 )
48 - 12 / 32 - 34
36 / - 2
slope = - 18
Answer:
50065
Step-by-step explanation:
5x500 is 2500, 5x80 is 400, 5x9 is 45. 80x500 is 40000, 80x80 is 640, 80x9 is 720. I split them all up and when you add them it makes 50065
Step-by-step explanation:
volume of sphere = 288
based on formula, V = 4/3πr³
288 = 4/3(3.14)r³
288 = 4.187(r³)
r³ = 288/4.187
r =
![\sqrt[3]{68.78}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B68.78%7D%20)
r = 4.09
= 4.1