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3 years ago

The length of a rectangle is five times its width. if the perimeter of the rectangle is 96 yd , find its area.

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

3 0

Rectangle has 4 sides dived 96 by 4 and then from there you have to make length be bigger than width

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6 boys on the baseball team split 9 cupcakes after the game what fraction of the cupcakes did each boy get?

NNADVOKAT [17]

Answer:

2/3

Step-by-step explanation:

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2 years ago

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Find the measure of the third angle of a triangle given the measures of two angles.<br> 34 and 88

romanna [79]

Answer:

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

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3 years ago

Find the arc length of the partial circle.

kodGreya [7K]

Answer:

Arc length of the partial circle = 3π units

Step-by-step explanation:

Given question is incomplete; please find the complete question attached.

Formula for the arc length of a circle = $\frac{\theta}{360^\circ}(2\pi r)$

Here θ is the angle formed by the sector at the center.

Angle that is formed at the center of the circle is = 360° - 90°

= 270°

So, length of the arc = $\frac{270}{360}(2\pi)(2)$

= 3π

Therefore, length of the given partial circle is 3π units.

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3 years ago

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Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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3 years ago

27.2163 rounded to the nearest hundredth

Illusion [34]

Answer:

27.22

Step-by-step explanation:

I just done it. it wasnt that hard

4 0

3 years ago