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3 years ago

Can you help me with this task please?

Mathematics

2 answers:

Vinil7 [7]3 years ago

3 0

Answer:

83 is prime

97 is prime

92 is composite - The pairs are (1,96) (2,46) (4,23)

Step-by-step explanation:

KengaRu [80]3 years ago

3 0

Prime
Prime
Composite

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3 years ago

Solve for x <br><br> (5x-1) 8x

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Answer:

x = 7

Step-by-step explanation:

Given is the figure of a kite.

Opposite sides are equal... (given)

Since, measures of the angles opposite to equal sides are equal.

Also, diagonals of a kite interests at right angles.

Therefore,

$8x \degree + (5x - 1) \degree + 90 \degree = 180 \degree \\ \\ (8x + 5x - 1) \degree = 180 \degree - 90 \degree\\ \\(13x - 1) \degree = 90 \degree\\ \\ 13x - 1 = 90 \\ \\ 13x = 90 + 1 \\ \\ 13x = 91 \\ \\ x = \frac{91}{13} \\ \\ x = 7$

Therefore,

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2 years ago

How much smaller is the sum of the first 1000 natural numbers than the sum of the first 1001 natural numbers?

aleksandr82 [10.1K]

ANSWER

1001

EXPLANATION

The sum of the first n - natural numbers is

$S_n= \frac{n}{2} (2a + d(n - 1))$

The sum of the first 1000 terms is

$S_{1000}= \frac{1000}{2} (2(1) + 1(1000 - 1))$

$S_{1000}=500 (1001)$

$S_{1000}=500500$

The sum of the first 1001 terms is

$S_{1001}= \frac{1001}{2} (2(1) + 1(1001 - 1))$

$S_{1001}= 1001 \times (501)$

$= 501501$

The difference is

$501501 - 500500= 1001$

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