Answer: it’s 2.1
Step-by-step explanation:
Amplitude + y value 3+-0.9=2.1
Your welcome :)
Answer:
58 degrees
Step-by-step explanation:
(x+45)+(x+66)=95
2x+45+66=95
2x+111=95
2x=95-111
2x=-16
x=-16/2
x=-8
x+66=-8+66=58
Answer:
N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80
Step-by-step explanation:
Because of vertical angles, 5x+20 = 3x+66.
5x=3x+46
2x = 46
x = 23
Sum of angles in a circle is 360
360-135-135=180
ABE = CBD because vertical angles.
180 / 2 = 90
16.
Sum of angles in triangle is 180
180=123-x-2-x-3
x = 31
123, 29, 28.
17.
Sum of angles in triangle is 180
180-72-28 = 80
K = 80
80 is the answer i hope i helped g
Answer:
a)
in
b) 28 in
c) 784 in²
Step-by-step explanation:
Let the length be 'L'
and the radius be 'r'
Thus, according to the question
L + 2πr = 84 in
L = 84 - 2πr ............(1)
Volume of the cylinder, V = πr²L
substituting the value of L from 1, we get
V = πr²(84 - 2πr)
or
V = 84πr² - 2π²r³
for points of maxima, differentiating the above equation and equating it to zero

or
2(84)πr - 3(2)π²r² = 0
or
2πr(84 - 3πr) = 0
or
r = 0 and 84 - 3πr = 0
or
⇒ 3πr = 84
or
⇒ r =
in
since, the radius cannot be zero therefore, r = 0 is neglected
Therefore,
a) The radius of the largest cylindrical package =
in
b) from (2)
L = 84 - 2πr
or
⇒ L = 
or
⇒ L = 84 - 56 = 28 in
The length of the largest cylindrical package = 28 in
c ) The volume of the largest cylindrical package ,V = πr²L
= 
= 784 in²