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3 years ago

12 foot ladder leaning against a wall how far does the ladder reach

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

Answer:

144 inches

Step-by-step explanation:

There are 12 inches in a foot

multiply 12 x 12 (the ladder)

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Use substitution to solve the systems of equations. y=x+1.75 4x-2y=4

jolli1 [7]

Since y already equals something, x + 1.75, we can put its equivalent x + 1.75 in its place in the other equation.
See the image for the rest of the solution steps.

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3 years ago

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First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

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4 years ago

Find a common denominator for the following fraction pairs

Vaselesa [24]

A) The least common denominator is 12. Both 4 and 3 go into 12 evenly.
b) The least common denominator is 40. Both 5 and 8 go into 40 evenly.

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3 years ago

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A salesman will earn a commission of 1/10 of the total amount sold.if he sells a car with a price of 24,000 what is his commissi

nydimaria [60]

Answer:

Step-by-step explanation:

1/10=0.1

if the total sales is 26,000

the commission will be 26,000*0.1=2,600 dollars

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3 years ago

Simplify:9-1÷2÷27^2÷3

sammy [17]

First let's calculate the exponents.

$27^2 : 729 = 9-1\div \:2\div \:729\div \:3$

Now we should multiply and divide.

$1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}$

Now we should add and subtract.

$9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}$

Convert the improper fractions into mixed numbers.

$8\frac{4373}{4374}$

Answer :

$8\frac{4373}{4374}$

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3 years ago

12 foot ladder leaning against a wall how far does the ladder reach​

12 foot ladder leaning against a wall how far does the ladder reach