Use four unit multipliers to convert 170 square yards to square inches The perimeter of a square is 64 inches

Sarah stands at the corner of a rectangular field. If the field measures 180 m by 210 m, how far would Sarah need to walk to

Agata [3.3K]

Answer:

30√85 or 276.5863 meters

Step-by-step explanation:

Use pythag theorom. a^2+b^2=c^2

180^2+210^2=c^2

c=276.5863

4 0

2 years ago

When you subtract 8from 10 what is the different

Alinara [238K]

Answer:

2

Step-by-step explanation:

Difference = 10 - 8 = 2

Hope it helps you in your learning process.

8 0

3 years ago

Express 24 inches to 6 feet in simplest form.

Misha Larkins [42]

Answer:

no

Step-by-step explanation:

3 0

3 years ago

An expression is shown below.<br><br><br> What is the value of the expression?

dsp73

Answer:

Step-by-step explanation:

First you need to set up the equation 2/3+1/4/1/2, and we know that there is a stratgey for dividing fractions as well. But first, we need to find the least common fator for 2/3 and 1/4 which is twelve which would be 8/12+3/12 which is 11/12 and 11/12 dividing by 1/2 is 22/12 since all you need to do is do the keep change flip method which would give you an answer of 1 10/12 or 1 5/6

6 0

3 years ago

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

atroni [7]

Answer: $y=Ce^(^3^t^{^9}^)$

Step-by-step explanation:

Beginning with the first differential equation:

$\frac{dy}{dt} =27t^8y$

This differential equation is denoted as a separable differential equation due to us having the ability to separate the variables. Divide both sides by 'y' to get:

$\frac{1}{y} \frac{dy}{dt} =27t^8$

Multiply both sides by 'dt' to get:

$\frac{1}{y}dy =27t^8dt$

Integrate both sides. Both sides will produce an integration constant, but I will merge them together into a single integration constant on the right side:

$\int\limits {\frac{1}{y} } \, dy=\int\limits {27t^8} \, dt$

$ln(y)=27(\frac{1}{9} t^9)+C$

$ln(y)=3t^9+C$

We want to cancel the natural log in order to isolate our function 'y'. We can do this by using 'e' since it is the inverse of the natural log:

$e^l^n^(^y^)=e^(^3^t^{^9} ^+^C^)$

$y=e^(^3^t^{^9} ^+^C^)$

We can take out the 'C' of the exponential using a rule of exponents. Addition in an exponent can be broken up into a product of their bases:

$y=e^(^3^t^{^9}^)e^C$

The term e^C is just another constant, so with impunity, I can absorb everything into a single constant:

$y=Ce^(^3^t^{^9}^)$

To check the answer by differentiation, you require the chain rule. Differentiating an exponential gives back the exponential, but you must multiply by the derivative of the inside. We get:

$\frac{d}{dx} (y)=\frac{d}{dx}(Ce^(^3^t^{^9}^))$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*\frac{d}{dx}(3t^9)$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*27t^8$

Now check if the derivative equals the right side of the original differential equation:

$(Ce^(^3^t^{^9}^))*27t^8=27t^8*y(t)$

$Ce^(^3^t^{^9}^)*27t^8=27t^8*Ce^(^3^t^{^9}^)$

QED

I unfortunately do not have enough room for your second question. It is the exact same type of differential equation as the one solved above. The only difference is the fractional exponent, which would make the problem slightly more involved. If you ask your second question again on a different problem, I'd be glad to help you solve it.

7 0

2 years ago

Use four unit multipliers to convert 170 square yards to square inches The perimeter of a square is 64 inches ​

Use four unit multipliers to convert 170 square yards to square inches The perimeter of a square is 64 inches