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4 years ago

15

the width of a rectangle is 37 cenimeters. find all possible values for the length of the rectangle if the perimeter is at least

596 centimeters

1 answer:

Elena-2011 [213]4 years ago

5 0

(NOTE: I am using a capital "L" to avoid confusion with the number "1" )

Perimeter (P) ≥ 596

(NOTE: We will be using "≥" because the perimeter is AT LEAST 596)

Perimeter (P) = 2w · 2L

596 ≥ 2(37) + 2L

596 ≥ 74 + 2L

522 ≥ 2L

L ≥ 261 cm

<h2>Length ≥ 261 cm</h2>

The length is greater than or equal to 261 cm.

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

Art [367]

Answer:

The answer is " $\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}$ "

Step-by-step explanation:

Given value:

Temp-maximum= $18^{\circ}$

Temp. minimum = $3^{\circ}$

It is halfway between 10 am and 10 pm to 4 am.

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:

$T = A \cos B(t-C) + D,$ where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

$A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\$

$= \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5$

$B = \frac{2 \pi}{24}\\\\$

$= \frac{\pi}{12}$

$C = \text{ units translated to the right}= 4$

$D = y_{min} + amplitude = units \ translated \ up\\\\$

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

$T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5$

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4 years ago

PLEASE HELP THANKS YOU

kondaur [170]

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3 years ago

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Luba_88 [7]

The answer is 11 degrees

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4vir4ik [10]

The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,

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$4x=60$

$x=15$

Now we can find each angle measure.

$110-2x$

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3 years ago

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Si 46 x + 322 = 1242 cual es el valor de x?

erma4kov [3.2K]

Answer:

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