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3 years ago

Is 9,13,16 a right triangle

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

We can check by using the

pythagorean theorem or a² + b² = c².

Substitute your values in for a, b, and c.

(9)² + (13)² = (16)²

~simplify

81 + 169 ≠ 256

81 + 169 is 250 but 16² is 256.

So, this in not a right triangle.

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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

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

8 0

3 years ago

5. A community neighborhood wants to

Nastasia [14]

Answer:

51 trees

Step-by-step explanation:

Start at one end of the 50-foot line segment.

At position 0 ft, put one tree.

Then 1 ft from 0 ft, put tree number 2.

One more foot over, at position 2 ft from the start, put tree number 3.

Notice that each tree number is one more than the number of feet.

That means at 50 ft from the stat, you put tree number 51.

Answer: 51 trees

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3 years ago

Tim rents a car. He qualifies for a credit card that will pay for collision insurance on rental cars, if he pays the card off mo

sergey [27]

It would be $57 weekly, and when you multiply that by 4, you get $228/month

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3 years ago

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Please Help! I will give you a lot of points and the brainiest

Maurinko [17]

Answer:

De Morgan's Theorem, T12, is a particularly powerful tool in digital design. The theorem explains that the complement of the product of all the terms is equal to the sum of the complement of each term. Likewise, the complement of the sum of all the terms is equal to the product of the complement of each term.

Step-by-step explanation:

Step by step you got it just beleive

4 0

3 years ago

Which situation can be represented by the expression 5−8

Iteru [2.4K]

Answer:

The answer is C.)

Step-by-step explanation:

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