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4 years ago

Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm

Mathematics

1 answer:

Bond [772]4 years ago

4 0

Answer:

Step-by-step explanation:

Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.

$L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9$

Perimeter:

P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98

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RUDIKE [14]

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Here m = - 1, thus

y = - x + c ← is the partial equation

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3 years ago

A STORY OF UNITS

Aleks04 [339]

Answer:

<em>$40 </em>will be the total cost of the ribbon.

Step-by-step explanation:

To find the cost of ribbon to be put on the edges of rectangular banner, we need to:

1. Find the perimeter of the rectangle.

2. Multiply the perimeter with the per foot cost to find the total cost.

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$P = 2 \times \text{(length+width)}$

Here, the dimensions of rectangle are 4ft by 6ft.

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It is given that per foot cost is $2.

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<em>$40 </em>will be the total cost of the ribbon.

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4 years ago

A lines slope is 15 and its y-intercept is 2. what is its equation in slope intersept form

Amanda [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The thickness X of aluminum sheets is distributed according to the probability density function f(x) = 450 (x2 - x) if 6 < x

grandymaker [24]

Solution :

Given :

$f(x) = \left\{\begin{matrix}\frac{1}{450}(x^2-x) & \text{if } 6 < x < 12 \\ 0 & \text{otherwise}\end{matrix}\right.$

1. Cumulative distribution function

$P(X \leq x) = \int_{- \infty}^x f(x) \ dx$

$=\int_{- \infty}^6 f(x) dx + \int_{6}^x f(x) dx$

$=0+\int_6^x \frac{1}{450}(x^2-x) \ dx$

$=\frac{1}{450} \int_6^x (x^2-x) \ dx$

$=\frac{1}{450}\left[\frac{x^3}{3}-\frac{x^2}{2}\right]_6^x$

$=\frac{1}{450}\left[ \left( \frac{x^3}{3} - \frac{x^2}{2}\left) - \left( \frac{6^3}{3} - \frac{6^2}{2} \right) \right]$

$=\frac{1}{450}\left[\frac{x^3}{3} - \frac{x^2}{2} - 54 \right]$

2. Mean $E(x) = \int_{- \infty}^{\infty} \ x \ f(x) \ dx$

$=\int_{6}^{12}x . \left( \frac{1}{450} \ (x^2-x)\right)\ dx$

$=\frac{1}{450} \int_6^{12} \ (x^3 - x^2) \ dx$

$=\frac{1}{450} \left[\frac{x^4}{4} - \frac{x^3}{3} \right]_6^{12} \ dx$

$=\frac{1}{450} \left[ \left(\frac{(12)^4}{4} - \frac{(12)^3}{3} \right) - \left(\frac{(6)^4}{4} - \frac{(6)^3}{3} \right)$

$=\frac{1}{450} [4608 - 252]$

= 17.2857

5 0

3 years ago

Round the number to the place value given. 1,370,945 rounded to the ten-thousand is.

Monica [59]

Explanation:

The question requires that we round the given number to Ten-thousand

To do so, we will have to write the place values of the numbers first

Next, we find the digits before the Ten-thousand digits and then approximate the value

One of the principles to use is that

numbers from 0 to 4 are rounded to 0

while numbers from 5 to 9 are rounded to 1

In our case, The thousand digit is 0, so we round down to 0, then we add to the Ten-thousand digits and convert each of the numbers before the Ten-thousand digits to 0

Thus, we will have

$1,370,000$

Hence, the answer is 1,370,000

7 0

1 year ago

Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm​

Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm