- We know, sum of all angles of a triangle is 180°.
- Therefore, by the problem
72 + 64 + (4x+20) = 180
or, 156 + 4x = 180
or, 4x = 180 - 156
or, 4x = 24
or, x = 24 ÷ 4 = 6
<h3><em>Your </em><em>answer </em><em>is </em><em>6</em><em>.</em></h3>
Answer:
v - r
------ = a
t
Step-by-step explanation:
Starting with v = r + at, subtract r from both sides, so as to isolate the 'at' term:
v - r = r - r + at, or
v - r = at
Next, divide both sides by t, to isolate a:
v - r
------ = a
t
Answer:
(–19, 55)
Step-by-step explanation:
y = –3x – 2 equation 1
5x + 2y = 15 equation 2
using equation 1 in equation 2 we have:
5x + 2(–3x – 2) = 15
5x –6x – 4 = 15
-x = 15+4
x=-19
using equation 1:
y = -3(-19)- 2
y= 57-2
y= 55
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Answer:
Alright so basically
Step-by-step explanation:
