Answer: 89
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**
Answer:
41.04 g/L
Step-by-step explanation:
The relationship is modeled by the following function:
S(t) = 500*e^(-0.25*t)
where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of salt in the tank (in g/L)
Replacing with t = 10
S(t) = 500*e^(-0.25*10)
S(t) = 41.04 g/L
Answer:
g(-3) = -13
Step-by-step explanation:
Plug in -3 for n in the equation:
g(n) = 3n - 4
g(-3) = 3(-3) - 4
Remember to follow PEMDAS. First, multiply, then subtract:
g(-3) = 3 * -3 = -9
g(-3) = -9 - 4
g(-3) = -13
-13 is your answer for g(-3).
~
Integers are like -4,-3,-2,-1,0,1,2,3,4 etc
√49=7, integer
-3⁰=-(3⁰)=-(1)=-1, integer
1.2 times 10⁻²=1.2/100=0.012, not an integer
18/3=6, integer
answer is 3rd one
Answer:
r = sqrt( 3V/( pih))
Step-by-step explanation:
V = 1/3 pi r^2 h
Solving for r
Multiply each side by 3
3V = pi r^2h
Divide each side by pi h
3V/( pi h) = r^2
Take the square root of each side
sqrt( 3V/ (pi h) )= sqrt( r^2)
sqrt( 3V/ (pi h)) = r