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Ugo [173]
3 years ago
11

Give five elements of the following sets.

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

Find the answer below.

Step-by-step explanation:

1. A = {mountain, valley, plateau, plains and hills}

  • A landform refers to a geomorphic or natural feature of the Earth's surface, which typically makes its terrain.

2. B = {23, 29, 31, 37 and 41}

  • A prime number can be defined as any number that is greater than one (1) and can only be divided by itself or one (1). In this case, they are greater than 20 but less than 50.

3. C = {2, 4, 8, 10 and 12}

  • An even number can be defined as any number that can be divided by two (2) without any remainder. In this instance, they should be between one (1) and twenty (20).

4. D = {2/3, 1/2, 3/4, and 1/5}

  • A fraction that is less than one (1) refers to a proper fraction. Therefore, proper fractions must have the value of their numerator to be less than the value of their denominator.

5. E = {ant, angel, angle, anaconda, and ark}

  • A noun can be defined as the name of any place, people, animal or things. In this context, the nouns should all start with the letter "a."
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Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . .A) 45B) 42C) 48D) 25
Leni [432]

SOLUTION

From the sequence give

–3, 1, 5, 9, . . .

The first term, a = -3

The common difference, d = 4 (gotten by adding 4 to the next term).

The number of terms required n = 6.

Formula for sum of an arithmetic sequence is given by

S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack

Substituting these values into the equation above we have

\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}

Hence, the answer is 42, option B

3 0
11 months ago
What is the LCM of 28,40, and 144
Simora [160]

Answer:

2 x 2 x 7 = 28 2 x 2 x 2 x 5 = 40 2 x 2 x 2 x 2 x 3 x 3 = 144 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 504... ... The LCM of the given two numbers using prime factorization is 36 ...

Step-by-step explanation:

8 0
3 years ago
CosA.cos2A.cos4A=sin8A/8sinA​
alexgriva [62]

I assume you're supposed to establish the identity,

cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)

Recall the double angle identity for sine:

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Then you have

sin(8A) = 2 sin(4A) cos(4A)

sin(8A) = 4 sin(2A) cos(2A) cos(4A)

sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)

==>   sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)

as required.

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3 years ago
Cara plants 5 seeds in 2 minutes, while Wade plants 3 times as many seeds in half the time. How many seeds can they both plant t
Svetradugi [14.3K]

Answer:

together they can plant 175 seeds in 10 minutes

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3 years ago
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The base of this prism is______________ triangle.
Elena L [17]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
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