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2 years ago

Find three consecutive numbers whose sum is 1020

Mathematics

2 answers:

krok68 [10]2 years ago

6 0

what's up? the answer to this is 339+340+341

best of luck with your studies

LUCKY_DIMON [66]2 years ago

6 0

Answer: 339 + 340 + 341 = 1020

Step-by-step explanation:

3X + 3 = 1020
3X + 3 - 3 = 1020 - 3
3X = 1017
3X/3 = 1017/3
X = 339

Which means that the first number is 339, the second number is 339 + 1 and the third number is 339 + 2. Therefore, three consecutive integers that add up to 1020 are 339, 340, and 341.

339 + 340 + 341 = 1020

_Hope that helped_

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If tanA=a then find sin4A-2sin2A/ sin4A+2sin2A

anygoal [31]

Answer:

The value of the given expression is

$\frac{sin4A-2sin2A}{sin4A+2sin2A}=-a^2$

Step by step Explanation:

Given that $tanA=a$

To find the value of $\frac{sin4A-2sin2A}{sin4A+2sin2A}$

Let us find the value of the expression :

$\frac{sin4A-2sin2A}{sin4A+2sin2A}=\frac{2cos2Asin2A-2sin2A}{2cos2Asin2A+2sin2A}$ ( by using the formula $sin2A=2cosAsinA$ here A=2A)

$=\frac{2sin2A(cos2A-1)}{2sin2A(cos2A+1)}$

$=\frac{(cos2A-1)}{(cos2A+1)}$

$=\frac{(-(1-cos2A))}{(1+cos2A)}$ (using $sin^2A+cos^2A=1$ here A=2A)

$=\frac{-(sin^2A+cos^2A-(cos^2A-sin^2A))}{sin^2A+cos^2A+(cos^2A-sin^2A)}$ (using $cos2A=cos^2A-sin^2A$ here A=2A)

$=\frac{-(sin^2A+cos^2A-cos^2A+sin^2A)}{sin^2A+cos^2A+(cos^2A-sin^2A)}$

$=\frac{-(sin^2A+sin^2A)}{cos^2A+cos^2A}$

$=\frac{-2sin^2A}{2cos^2A}$

$=-\frac{sin^2A}{cos^2A}$

$=-tan^2A$ ( using $tanA=\frac{sinA}{cosA}$ here A=2A )

$=-a^2$ (since tanA=a given )

Therefore $\frac{sin4A-2sin2A}{sin4A+2sin2A}=-a^2$

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3 years ago

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Answer:

A 1,296

B 1,369

36 answer

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3 years ago

The perimeter of a rhombus is 560 meters and one of its diagonals has a length of 76 meters. Find the area of the rhombus.

borishaifa [10]

The perimeter is the sum of the side lengths of a shape. A diagonal is a line segment joining two vertices of a polygon or polyhedron when those vertices are not on the same edge. We calculate as follows:

Perimeter = 4a
560 = 4a
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A=(1/2)d√(4a^2 - d^2)
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3 years ago

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Anvisha [2.4K]

Answer:

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Step-by-step explanation:

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3 years ago