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jok3333 [9.3K]
3 years ago
9

Micah made a scale model of the Empire State building.The building has an actual height of 381 meters. Micah’s model used a scal

e in which 1 cm represents 50 meters. what is the height in centimeters of Micahs model?
Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

<em>Answer:</em>

<em>1cm = 50 </em>

<em>2 cm = 50 x 2 </em>

<em>3cm = 50 x 3 </em>

<em>and the inverse:50m = 50/50 = 1cm </em>

<em>100m = 100/50 = 2cm </em>

<em>150m = 150/50 = 3cm </em>

<em>381m = 381/ </em>

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Answer:

hypotenuse is 22.47 m

Step-by-step explanation:

The length of both legs of a right angle triangle are 8m and 21 m

We need to find the hypotenuse

To find hypotenuse we use Pythagorean theorem

Hypotenuse is AC  and other two legs are AB  and BC

AC^2 = AB^2 + BC^2

Hypotenuse ^2 = 8^2 + 21^2

hypotenuse = \sqrt{8^2 + 21^2}

= \sqrt{64 + 441}

= \sqrt{505}

= 22.47

So the length of the hypotenuse is 22.47 m

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Steven is walking around the perimeter of a circular swimming pool
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62.83

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2 years ago
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Rewrite this expression using the distributive property.<br> (3x2 + 4x-7)(x-2)
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3 years ago
VEEL
Andre45 [30]

Answer:

a_n=-3(3)^{n-1} ; {-3,-9, -27,- 81, -243, ...}

a_n=-3(-3)^{n-1} ; {-3, 9,-27, 81, -243, ...}

a_n=3(\frac{1}{2})^{n-1} ; {3, 1.5, 0.75, 0.375, 0.1875, ...}

a_n=243(\frac{1}{3})^{n-1} ; {243, 81, 27, 9, 3, ...}

Step-by-step explanation:

The first explicit equation is

a_n=-3(3)^{n-1}

At n=1,

a_1=-3(3)^{1-1}=-3

At n=2,

a_2=-3(3)^{2-1}=-9

At n=3,

a_3=-3(3)^{3-1}=-27

Therefore, the geometric sequence is {-3,-9, -27,- 81, -243, ...}.

The second explicit equation is

a_n=-3(-3)^{n-1}

At n=1,

a_1=-3(-3)^{1-1}=-3

At n=2,

a_2=-3(-3)^{2-1}=9

At n=3,

a_3=-3(-3)^{3-1}=-27

Therefore, the geometric sequence is {-3, 9,-27, 81, -243, ...}.

The third explicit equation is

a_n=3(\frac{1}{2})^{n-1}

At n=1,

a_1=3(\frac{1}{2})^{1-1}=3

At n=2,

a_2=3(\frac{1}{2})^{2-1}=1.5

At n=3,

a_3=3(\frac{1}{2})^{3-1}=0.75

Therefore, the geometric sequence is {3, 1.5, 0.75, 0.375, 0.1875, ...}.

The fourth explicit equation is

a_n=243(\frac{1}{3})^{n-1}

At n=1,

a_1=243(\frac{1}{3})^{1-1}=243

At n=2,

a_2=243(\frac{1}{3})^{2-1}=81

At n=3,

a_3=243(\frac{1}{3})^{3-1}=27

Therefore, the geometric sequence is {243, 81, 27, 9, 3, ...}.

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Answer:

I THINK ITS THE 3rd on

Step-by-step explanation:

you see the part where it says 6x8 then 6x3 and he part where it says 6x4 she didnt add the 2

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