Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer:
1/3
Step-by-step explanation:
Answer:
x1 y1 x2 y2
(2 5) (-1 -4)
slope m = (y2-y1)/(x2-x1)
( -4 -5 )/( -1 -2 )
( -1/ -1 )
m= -1/-1
Step-by-step explanation:
pls Mark me as brainleast and folow me
The answer is x=2
show you step-by-step
step 1:simplify both sides of the equation.
(4)(x)+(4)(2)=6x+4
4x+8=6x+4
step 2:subtract 6x from both sides.
4x+8-6x=6x+4-6x
-2x+8=4
step 3: subtract 8 from both sides
-2x+8-8=4-8
-2x=-4
step 4: divide both sides by -2
-2x/-2= -4/-2
x=2
that helps you
