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RideAnS [48]
2 years ago
5

This 3 by 3 grid shows nine 1 cm x 1cm squares and uses 24 cm of wire.

Mathematics
1 answer:
stealth61 [152]2 years ago
8 0

Answer:

  E  840 cm

Step-by-step explanation:

For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...

  (20 cm)(2 × 21) = 840 cm

_____

<em>Additional comment</em>

In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.

In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).

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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9
Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

y=A\sin[\omega(x-\alpha)]+C

where, A =  amplitude; \omega=\dfrac{2\pi}{period} ,  α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= C=\dfrac{73+97}{2}=85   [midline is average of upper and lower limit.]

A=  97-85 = 12

Phase shift: \alpha=10

Period = 24 hours;

\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}

Substitute all values in sinusoidal function, we get

y=12\sin[\dfrac{\pi}{12}(x-10)]+85

Put y= 82, we get

82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03

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3 0
3 years ago
Please help ASAP!!!!!!!!!
algol [13]

Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle:   Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees.  The side "opposite" this 80-degree angle is the height of the triangle:

   

                               height      

sin 80 degrees = ---------------

                                    6

and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

                                                       A = 23.64 units^2, or A = 23.6 units^2

3 0
3 years ago
Leigh bought a conical candle wax mold. The height of the mold is 16.2 inches and the radius of the inside of the top of the con
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C

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3 years ago
A population of size 320 has a proportion equal to .60 for the characteristic of interest. What are the mean and the standard de
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Step-by-step explanation:

Given population has a size of 320.

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The answer is c.) 0.6 and 0.14

6 0
3 years ago
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