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tia_tia [17]
2 years ago
15

Find the value of a in the parallelogram.

Mathematics
1 answer:
S_A_V [24]2 years ago
3 0
6a-4 = 3a+54
3a = 58
a = 58/3
a= 19.333
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(-7) × (-5) = _____
vitfil [10]
(-7) × (-5) = 35
2 × (-8) = -16
(-11) × 4= (-44)
-8× 8 = (-64)
(-9) × (-9)= 81
(-17) × (-2) =34
(-10) ÷ -2 = 5
44 ÷ (-11)= (-4)
8 0
2 years ago
Read 2 more answers
A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula
Ilia_Sergeevich [38]

Answer: A. A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}

              B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

A=\pi.r^{2}

So to find the rate of the area:

\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}

\frac{dA}{dr} =2.\pi.r

Using r(t)=3-\frac{363}{(t+11)^{2}}

\frac{dr}{dt}=\frac{726}{(t+11)^{3}}

Then

\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]

\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}

Multipying and simplifying:

\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}

The rate at which the area is increasing is given by expression A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}.

B. At t = 5, rate is:

A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}

A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}

A'(5)=\frac{2408693760\pi}{4294967296}

A'(5)=1.76268

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0
2 years ago
32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
Ne4ueva [31]

Answer: 12.5

You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."

subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"

6 0
3 years ago
Anybody Wanna talk? Im bored and kinda down ( This mite get taken down so dose anybody?
Brums [2.3K]

Answerscuse me this a school app i am T

Step-by-step explanation:

reporting

<h3>jk</h3>
8 0
2 years ago
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a piece of art is in the shape of an equilateral triangle with side of 6 inches what is the area of the art
Nitella [24]
Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2

so if base is 6 then height is (6√3)/2=3√3

area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches
8 0
3 years ago
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