3 years ago

HELP ME *** if you give the wrong answer you will be reported

Mathematics

1 answer:

viva [34]3 years ago

8 0

Answer:

Step-by-step explanation:

<u><em>The image and a pre-image after dilation with coefficient 1 are congruent.</em></u>

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Amount of water after splash = 25(4/5) = 20L

Amount of water after Tina adds water = 20L + 7L = 27L

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Evgesh-ka [11]

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3 years ago

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

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

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

Rate at which area is increasing is 1.08 m²/s.

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3 years ago

Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved already. Which options below will allow her

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She is given $205 and spends $57.

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IrinaK [193]

The answer is -8/15. This is a for sure correct answer.

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