Answer:
The answer is given below
Step-by-step explanation:
A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}
B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2
C) The subsets of set T are {}, {2}, {3} and {2,3}
D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}
An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}
Answer:
Step-by-step explanation:
tan 17=h/18
h=18 tan 17
tan 38=(h+x)/18
h+x=18 tan 38
h+x-h=18 tan 38-18 tan 17
x=18(tan 38-tan 17)≈8.56
Answer:
the real answer is 1107.5 ft
3
Step-by-step explanation:
Volume of Cone:
V=\frac{1}{3}\pi r^2h
V=
3
1
πr
2
h
\text{Find radius:}
Find radius:
r=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6
r=
2
diameter
=
2
17.2
=8.6
h=14.3\hspace{40px}r=8.6
h=14.3r=8.6
Needed information
V=
V=
\,\,\frac{1}{3}\pi r^2h
3
1
πr
2
h
V=
V=
\,\,\frac{1}{3}\pi (8.6)^2(14.3)
3
1
π(8.6)
2
(14.3)
Plug in
V=
V=
\,\,1107.54545168
1107.54545168
Evaluate in calculator
V\approx
V≈
\,\,1107.5\text{ ft}^3
1107.5 ft
3
The correct answer would be A.
You got it correct! Good job. Have a nice day:)
Answer:
x = 15
Step-by-step explanation:
Simplifying
3x + (8x + 15) = 180
Reorder the terms:
3x + (15 + 8x) = 180
Remove parenthesis around (15 + 8x)
3x + 15 + 8x = 180
Reorder the terms:
15 + 3x + 8x = 180
Combine like terms: 3x + 8x = 11x
15 + 11x = 180
Solving
15 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 11x = 180 + -15
Combine like terms: 15 + -15 = 0
0 + 11x = 180 + -15
11x = 180 + -15
Combine like terms: 180 + -15 = 165
11x = 165
Divide each side by '11'.
x = 15
Simplifying
x = 15
