III. If E={1, 2, 3, 4, 5, 6, 7, 8, 9, 10) A=(2, 3, 5, 7), B=(1, 3, 5, 7, 9) List the following sets: a) (AUB) b) (AnB) c) AnB' d
tresset_1 [31]
Step-by-step explanation:
A u B = { 1,2,3,5,7,9}
AnB = { 3,5,7}
B' = {2,4,6,8,10}
so AnB' = {2}
(AnB) = {1,3,4,5,6,7,8,9,10}
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Answer:
We can use the sine law to find h. First, we determine the angle between the line of sight and h:
180 - 90 - 39 = 51 degrees
The sine law states that the ratio of one triangle's angle to the opposite side's length is the same as another angle to its opposite side's length, so we can solve for h as follows:
h/sin(39) = 500/sin(51)
h = 500*sin(39)/sin(51)
When we round to the nearest whole number, we get h = 405 ft.
Answer: 376.8m
Step-by-step explanation:
Total surface area of a cylinder is calculated by 2πrh+2πr2, where π is a constant, given as 3.14, h is the height= 7m and r is radius= 5m
rh = 5m x 7m = 35m while
r^2 = 5m x 5m = 25m
Slot the values into the formula:
V = 2 x 3.14 ( 35) + 2 x 3.14 (25)
V= (6.28 x 35) + (6.28 x 25)
= 219.8 + 157
V= 376.8m
I hope this helps.
11: 6(3x+4y)
13a: 5x(3-4y)
13b: they but “x” next to 4 when the expression didn’t have the “x^2” anywhere
14a: find the common factors of each number
Answer:the percentage decrease is 36.67%
Step-by-step explanation:
Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.
Percentage decrease would be expressed as
Amount by which the intake decreased/ initial intake × 100
It becomes
5.5/15 × 100 = 36.67%
