Answer:
8
Step-by-step explanation:
The question is on number of subsets
Number of subset is given by 2^n
n=3 in our question, A,B,C
2^n = 2^3 =8
They are; { }, A, B, C, AB, AC, BC, ABC
Me being a junior in high school and not knowing middle school math
Answer:
CODE: 1977.98
Step-by-step explanation:
A.
(To get the closest answer, round the circumference to the nearest ten thousandth.)
C = 2(3.14)r Circumference formula: C = 2πr
C = 2(3.14)(3)
C = 18.84
B.
A = (3.14)r²
A = (3.14)(3)²
A = (3.14)(9)
A ≈ 28.26
C. (It's asking for the circumference.)
C = 2(3.14)r
C = 2(3.14)(58)
C ≈ 364.24
D. (It's a linear pair, which is 180 degrees.)
4x + 2x = 180
6x = 180
x = 30
m∠ABD = 4x
m∠ABD = 4(30)
m∠ABD = 120°
E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)
x + 7 = 3x - 21
28 = 2x
14 = x
F. (x = 14)
m∠JHK = 3x - 21
m∠JHK = 3(14) - 21
m∠JHK = 42 - 21
m∠JHK = 21°
G. (Supplementary - two angles that add up to 180 degrees.)
180 - 84
= 96°
CODE: E(C - D) - F(G - B) - A
CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84
CODE: 14(244.24) - 21(67.74) - 18.84
CODE: 3419.36 - 1422.54 - 18.84
CODE: 1977.98
question 9
a) 2 x 3 = 6m^2
b) diameter = 2m and radius = 1m
c) πr^2 is the equation, so 3.14 x 1^2 = 3.14m^2
and the semi circle is half of that, 1.57m^2
d) 6 + 1.57 = 7.57m^7
question 10
30 x 70 = 2,100m^2
πr^2 so 3.14 x 15^2 = 706.5m^2
2,100 + 706.5 = 2,806.5m^2
i hope this is correct :D