25+30x=65+20x
-20x -25
------ ------
10x=40
10 10
x=4
I crossed multiplied but in a weird way because of how this is. Anyways, I hoped I helped you. :D
Answer:
≈ 5
Step-by-step explanation:
<u><em>You can use the Pythagorean Theorem to solve this:</em></u>
<u><em>Now plug in the numbers into the formula:</em></u>
36 + 
= 64
<u><em>Subtract 36 from both sides:</em></u>
36 + = 64
-36 -36
_________
= 28
<em><u>Square both sides:</u></em>
b = 5.29
b ≈ 5
Hey there !
The vertex of the parabola is B. ( 2, 2)
Hope this helps !
Length of the box = 25 - 2x
Width of the box = 14 - 2x
Height of the box = x
a.) Volume of the box = x(25 - 2x)(14 - 2x) = x(350 - 50x - 28x + 4x^2) = 4x^3 - 78x^2 + 350x
Therefore, the function that models the volume of the box is V(x) = 4x^3 - 78x^2 + 350x
b.) 4x^3 - 78x^2 + 350x ≥ 240
4x^3 - 78x + 350x - 240 ≥ 0
x = 0.834, 5.438
The values of x for which the volume is greater than 240 in^3 is 0.834 ≤ x ≤ 5.438
c.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 156x + 350 = 0
x = 2.882910931
Therefore, maximum volume = 4(2.882910931)^3 - 78(2.882910931)^2 +350(2.882910931) = 453.798 in^3
The correct answer was 8 / 17
Because
AB^2 + 60^2 = 68^2
AB^2 = 4624 - 3600 = 1024
AB = 32
Sin S = Opp/Hyp = 32/68 = 8 / 17
(Picture)
https://static.k12.com/nextgen_media/assets/8118983-NG_GMT_O_01_U11_Quiz_DP024_54_008.jpg
(Pythagorean Theorem Calculator)
https://ncalculators.com/number-conversion/pythagoras-theor
