Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
Answer:
m<AFE = 128°.
Step-by-step explanation:
<u>Step 1: Find the value of x</u>
<em>Angle EFD + Angle DFC = Angle EFC</em>
5x + 6 + 19x - 15 = 17x + 19
24x - 9 = 17x + 19
7x = 28
x = 4
<u>Step 2: Find all angles</u>
<em>Angle AFB=Angle EFD= 5x + 6</em>
5(4) + 6 = 26°
Angle DFC = 19x - 15
19(4) - 15 = 61°
<u>Step 3: Find angle AFE</u>
<em>Line BD is a straight line and all angles on a straight line are equal to 180°.</em>
<em>Angle AFB + Angle AFE + Angle EFD = 180°</em>
26 + BFC + 26 = 180°
BFC = 180 - 52
BFC = 128°
<em>Therefore, m<AFE is equal to 128°.</em>
!!
ax^2 + bx + c
x^2 + 12x + 3 = 7
x^2 + 12x = 4
Take b, half it, then square it--
x^2 + 12x + 36 = 40
That equation becomes
(x+6)^2 = 40
+ 6 = ± (square root of 40)
= 0.324555
= −12.3246
Answer:
93
Step-by-step explanation:
So, you know the angles of a triangle added together is 180.
180-52-35=93
