Answer:
Step-by-step explanation:
LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:
height^2 = 8.26^2 + 20^2 = 468.23
height = 21.64cm
LA = 5*1/2*12*21.64
= 649.2cm^2
SA, Surface Area, is the sum of LA and base area.
Base area = 5*1/2*12*8.26 = 247.8cm^2
SA = 649.2 + 247.8 =897cm^2
Volume, V = 1/3 * base area * height
= 1/3 * 247.8 * 20
= 1652cm^3
Total number of cards = 52
Total number of kings or queens = 8
P(King or Queen) = 8/52 = 2/13
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Answer: The probability is 2/13.
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Answer:
-1(-12w - 6)
Step-by-step explanation:
trust me ;)
Answer
16
Explanation
4x+4=2x+36
-4. -4
4x=2x+32
-2x -2x
2x=32
x=16
Answer:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n
