Answer:
I do not understand she question do you mean the sum of their income is 2640
if so, then the answer is 440 to be x income
Step-by-step explanation:
x income = 20% or 1/5 of y income
y income = 5 of x income
we know that the sum of their income = 2640
which means that
x + y = 2640 =
1/5y + y = 2640
6y/5 = 2640
cross multiply to give us
6y = 5(2640)
6y = 13200
divide through by 6 to give us,
6y/6 = 13200/6
y = 2200
since we know that x income is 20% y income,
therefore, x income =
20/100 * 2200
= 440
therefore,
x income = 440
y income = 2200
Answer:
12.
Step-by-step explanation:
First arrange in ascending order:
2 5 8 10 14 17 21
The median is 10.
the lower quartile is the middle number of 2 5 and 8 which is 5.
Similarly the upper quartile is 17.
IQR = 17 - 5 = 12.
(a) If
is the mass (in mg) remaining after
years, then
(b)
(c)
Answer:
C) triangular prism
Step-by-step explanation:
The net represents a three-dimensional shape. The figure that the net represents is a rectangular prism.
I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
