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3 years ago

Sarah draws a square that has a side that measures 35.2 mm. What is the perimeter of the square?

Mathematics

1 answer:

max2010maxim [7]3 years ago

8 0

Answer:

140.8 cm2

Step-by-step explanation:

a spare has 4 sides so you need to times 35.2 by 4 which is 140.8

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Find the degree measure of each angle of the triangle

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Answer:

51,51 and 78

Step-by-step explanation:

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3 years ago

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Identify the slope and y-intercept for each equation below.<br> y=2x-5

sammy [17]

Answer:

Slope=2

y-intercept=-5

Step-by-step explanation:

This equation is in the form of y=mx+b

m is the slope and b is the y-intercept.

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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

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3 years ago

If (1/4) of (4/3) is subtracted from 2, what is the resulting value?

Bad White [126]

$2-\dfrac{1}{4}\cdot\dfrac{4}{3}=\\
2-\dfrac{1}{3}=\\
\dfrac{6}{3}-\dfrac{1}{3}=\\
\dfrac{5}{3}$

7 0

3 years ago