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3 years ago

Match each term with its definition.

Mathematics

1 answer:

Anna71 [15]3 years ago

5 0

Answer:

I don't see any words or anything did u attach something ???

Step-by-step explanation:

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In a set of five consecutive integers, the smallest integer is more than $\frac23$ the largest. What is the smallest possible va

Goryan [66]

Answer:

Step-by-step explanation:

Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...

(x-2)/(x+2) > 2/3

3x -6 > 2x +4 . . . . cross multiply

x > 10 . . . . . . . . . . .add 6-2x

The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.

The smallest sum is 55.

4 0

3 years ago

Read 2 more answers

A force of 4 pound acts in the direction of 48degree to the horizontal. The force moves an object along a straight line from the

Dafna11 [192]

Answer:

<u>Work Done = 27.66 Joules</u>

Step-by-step explanation:

The work done is:

$W=F*d*Cos \theta$

Where

F is the fore

d is the distance moved

$\theta$ is the angle

The force is "4"

The distance is the distance from (1,7) to (8,10)

The distance is the square root of change in y coordinates, squared and sum of change in x coordinates, squared. Hence, distance is:

$\sqrt{(10-7)^2+(8-1)^2}\\=\sqrt{3^2+7^2}\\\sqrt{58}$

The angle is gotten by the formula:

$Cos\phi = \frac{Force in x direction}{Distance}\\Cos\phi = \frac{8-1}{\sqrt{58}}\\Cos\phi=\frac{7}{\sqrt{58}}\\\phi = Cos^{-1}\frac{7}{\sqrt{58}}\\\phi = 23.21$

So, now:

$\theta = 48 - 23.21 = 24.79$

Work Done = $F*d * Cos\theta = 4 * \sqrt{58} * Cos(24.79)$

<u>Work Done = 27.66 Joules</u>

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3 years ago

Y = -3/4x - 2

oksian1 [2.3K]

Answer:

One Solution

Step-by-step explanation:

Trust me

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natka813 [3]

Answer:

I don’t know

Step-by-step explanation:

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Solving multi-step equations 14v+6=2(5+7v)-6

Sphinxa [80]

The answer is no solution, if my math is correct.

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