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Alex73 [517]
3 years ago
15

Between which pair of numbers is the exact product of 379 and 8.

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0
Product means multiplication, so I would multiply 379 and 8.
379 x 8 = 3032
<span>3032 is directly in between 3031 and 3033</span>
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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat
Lelechka [254]
<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

                             A = 0.5 ab SinC

Here we need to find how area changes with  a and b fixed and C is changing,

                       \frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}

We have

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                 b = 9 m

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Substituting

                 \frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s

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Answer:

(B) Subtract 3x from both sides of the equation, and then divide both sides by 2.

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Step-by-step explanation:

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If we have the equation 3x + 2 = 5x, our first goal is to get rid of the x term on one side.

To do this we can subtract 3x from both sides. This leaves our equation to 2=2x. To find x, we want to divide both sides by 2 since 2x divided by 2 is just x. Our goal is to isolate x.  This leaves x=1.

<em>I couldn't read Number 2 fully - I'm sorry :c</em>

<em></em>

Number 3:

Given the equation 3(x+0.2)=2.2, we want to isolate x on one side.

To do this, we first apply the distributive property to the left side.

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Now subtract 0.6 from both sides:

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And divide both sides by 3.

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This rounds to 0.53.

Hope this helped!

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