2 years ago

What is the area of the figure? Show your work.

Mathematics

1 answer:

Levart [38]2 years ago

4 0

Answer:

50m^2

Step-by-step explanation:

cut the shape into half. Now you should have a rectangle and a right triangle. Then do 5•7=35 so 35m for the rectangle. Now do the triangle! 10-7=3 so the base is 3 so do 3•5=15m so add them together 15m+35m=50m^2

ALSO IF YOU NEED TO KNOW THE ANGLE X IS: 60*
Hope this helps! ;-)

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Tom runs a car dealership that currently

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Answer:

The largest number of vehicles he can put in one area is 28

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3 years ago

Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.

Jlenok [28]

$y''+2y'+y=2t^2-t+3e^{-2t}$

The characteristic equation is

$r^2+2r+1=(r+1)^2=0\implies r=-1$

so the characteristic solution is

$y_c=C_1e^{-t}+C_2te^{-t}$

For the particular solution, we can try looking for a solution of the form

$y_p=at^2+bt+c+de^{-2t}$
$\implies{y_p}'=2at+b-2de^{-2t}$
$\implies{y_p}''=2a+4de^{-2t}$

Substituting into the ODE, we have

$(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}$
$at^2+(4a+b)t+(2a+2b+c)+de^{-2t}=2t^2-t+3e^{-2t}$
$\implies\begin{cases}a=2\\4a+b=-1\\2a+2b+c=0\\d=3\end{cases}\implies a=2,b=-9,c=14,d=3$

So the general solution to the ODE is

$y=y_c+y_p$
$y=C_1e^{-t}+C_2te^{-t}+2t^2-9t+14+3e^{-2t}$

4 0

3 years ago

A cone has a diameter of 10 inches. If its height is twice its radius, about what is the volume of the cone in cubic inches? Use

GuDViN [60]

Answer:

C) 261.67 inch³

Step-by-step explanation:

radius = 10/2 = 5

height = 10

Volume = ⅓×pi×r²×h

= ⅓×3.14×5²×10

= 261.6666666667

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3 years ago

The data below represents the ages of the first ten people in line at the movie theater.

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It could be a box plot or a Histogram

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3 years ago

A batter’s probability of getting a hit is 1/3. In his next 5 times at bat, what is the probability that he will get at least 4

Marianna [84]

1 and 1/3 is the answer.

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4 years ago