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3 years ago

The length of a rectangle is 12 less than the width find the length and width of the rectangle if the area is 160 square meters

Mathematics

1 answer:

Svet_ta [14]3 years ago

5 0

Answer:

the width is 13.11meter and the length is 1.11meter

Step-by-step explanation:

let the width be x and the length be x-12

area = 160 = l×b = x×x-12

x×x-12 = 160

x^2 = 172

x= 13.11

thus, the width is 13.11 and the length is 1.11

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77julia77 [94]

Answer:

The integral $\int F \bullets ds$ is 0.

Step-by-step explanation:

A parameterization of curve C can be:

X (t) = cost 0 <= t <= pi

Y (t) = sint 0 <= t <= pi

r (t) = costi + sintj

r '(t) = -sinti + costj

$Fds = [-costsin^3t + sintcos^3t] dt$

The integral $\int F \bullets ds$ is given by:

$\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt$

$= \int _0^{\pi }-sin ^3tcostdt + \int _0^{\pi }sintcos^3tdt = 0$

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3 years ago

Simplify:<br> (x2 + 5x + 6)/ (x + 3)

frozen [14]

This shows all the work to get it right.

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3 years ago

ariana starts with 100 milligram of a radioactive substance the amount of the substance decreases by 20% each week each number f

Anuta_ua [19.1K]

The required expression is 100 - 0.2w

Step-by-step explanation:

Given,

Amount of radioactive substance = 100 mg

The substance decreases by 20% each week.

To find the remaining amount of the in w weeks.

Now,

Each week 20% = 0.2 of the substance will be decreased.

So, in w weeks 0.2×w of the the substance will be decreased.

Hence,

The remaining substance = 100 - 0.2w

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4 years ago

Read 2 more answers

The number y divided by 2

Goshia [24]

Answer:

what number is y?

it would be x no?

Step-by-step explanation:

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3 years ago

A company selling light bulbs claims in its advertisements that its light bulbs’ average life is 1000 hours. In fact, the life s

Ket [755]

Answer:

The probability that a randomly chosen light bulb will last less than 900 hours is 0.1587.

Step-by-step explanation:

The life span of these light bulbs is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours

Mean = $\mu = 1000 hours$

Standard deviation = $\sigma = 100 hours$

We are supposed to find the probability that a randomly chosen light bulb will last less than 900 hours.i.e. P(x<900)

So, $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{900-1000}{100}$

Z=-1

P(x<900)=P(z<-1)=0.1587

Hence the probability that a randomly chosen light bulb will last less than 900 hours is 0.1587.

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3 years ago