Ask question

Ask question

All categories

3 years ago

6

The perimeter of a rectangular garden is 37.5 feet. The width is x, and the length is 15 ft. What is the width, in feet, of the

garden. (Perimeter is the distance around a two-dimensional shape)

2 answers:

Rudiy273 years ago

7 0

Answer:

YES i agree

Step-by-step explanation:

tatyana61 [14]3 years ago

5 0

15*2 equals 30. 37.5-30=7.5. 7.5/2=3.75 feet

You might be interested in

What is 6P4<br> permutations and combinations

labwork [276]

Answer:

360

Step-by-step explanation:

Here we are required to find $_^{6}\textrm{P}_{4}$

It is a problem of Permutation and we must understand the formula for finding permutations.

The general formula for finding the permutation is given as below:

$_^{m}\textrm{P}_{n}=\frac{m!}{(m-n)!}$

Hence

$_^{6}\textrm{P}_{4}=\frac{6!}{(6-4)!}$

$_^{6}\textrm{P}_{4}=\frac{6!}{2!}$

Where

$m!=m\times(m-1)\times\(m-2)\times\cdot\cdot\cdot\codt\cdot3\times2\times1$

$6!=6\times5\times4\times3\times2\times1$

$2!=2\times1$

Hence

$_^{6}\textrm{P}_{4}=\frac{6\times5\times4\times3\times2\times1}{2\times1}$

$_^{6}\textrm{P}_{4}=6\times5\times4\times3$

$_^{6}\textrm{P}_{4}=360$

3 0

3 years ago

Read 2 more answers

. The density of an object is its mass per unit of volume. Imagine two objects in which the larger one actually weighs less than

ser-zykov [4K]

Part A.

The log can be modeled by a cylinder.

The board can be modeled by a rectangular prism.

8 0

3 years ago

Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1

Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

$x'=\frac{dx}{dt}$

a) x’=t–sin(t), x(0)=1

$dx=(t-sint)dt$

Apply integral both sides:

$\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k$

where k is a constant due to integration. With x(0)=1, substitute:

$1=0+cos0+k\\\\1=1+k\\k=0$

Finally:

$x=\frac{t^2}{2} +cos(t)$

b) x’+2x=4; x(0)=5

$dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\$

Completing the integral:

$-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}$

Solving the operator:

$-\frac{1}{2}ln(4-2x)=t+k$

Using algebra, it becomes explicit:

$x=2+ke^{-2t}$

With x(0)=5, substitute:

$5=2+ke^{-2(0)}=2+k(1)\\\\k=3$

Finally:

$x=2+3e^{-2t}$

c) x’’+4x=0; x(0)=0; x’(0)=1

Let $x=e^{mt}$ be the solution for the equation, then:

$x'=me^{mt}\\x''=m^{2}e^{mt}$

Substituting these equations in <em>c)</em>

$m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i$

This becomes the solution <em>m=α±βi</em> where <em>α=0</em> and <em>β=2</em>

$x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)$

Where <em>A</em> and <em>B</em> are constants. With x(0)=0; x’(0)=1:

$x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}$

Finally:

$x=\frac{1}{2} sin(2t)$

7 0

3 years ago

Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3

trasher [3.6K]

Answer:

1.3845

Step-by-step explanation:

i used this formula in the screenshot

and you can also try using calculator websites

3 0

2 years ago

16+6-6x-4=-7x+3+7<br>how to solve for x

Alla [95]

Answer:

x = -8

Step-by-step explanation:

16+6-6x-4=-7x+3+7

Combine like terms

18 -6x = -7x+10

Add 7x to each side

18-6x+7x = -7x+7x+10

18+x = 10

Subtract 18 from each side

18+x-18 = 10-18

x = -8

5 0

3 years ago

Read 2 more answers