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natita [175]
3 years ago
6

A doll house uses a scale factor of 1 over 12 . The perimeter of a square room in the doll house is 36 inches . What is the leng

th of the full size room ?
show work
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0
K= 1/12
perimeter of doll house= 36 inches
:. length of doll house= 36inches / 4
                               = 9 inches
length of actual= length of doll house x k(inverse)
:. actual lenght= 9 inches x 12/1
                     = 108 inches
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What are the ratios for sin A and cos A? The triangle is not drawn to scale.
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Answer:

SinA = \frac{84}{85}  and  CosA=\frac{13}{85}

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

Sin A = \frac{Opposite}{Hypotenuse} , and

CosA = \frac{Adjacent}{Hypotenuse}

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}

CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}

The correct answer is  the first answer choice.

7 0
3 years ago
The null and alternative hypotheses are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tail
Dahasolnce [82]

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Step-by-step explanation:

Given : The null and alternative hypotheses are

H_0:\ p=0.2\\\\H_1:\ p

The parametric is being tested here is "p", where p stands for population proportion.

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3 years ago
Solve and show your work for each question a). B). C).
Andreyy89

Answer:

Step-by-step explanation:

a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48).                                   a

Use the formula s = sum of geometric series = -----------

                                                                                  1 - r

                                           0.48              48

which in this case is s = --------------- = ------------ = 48/99 = 16/33

                                          1 - 1/100        100 - 1

Check this result by finding 16/33 on a calculator.  Is the result equal to 0.484848484848.... ?  Yes

b) Here we have the bar over the 8 only.  0.48 with the bar over the 8 is equivalent to 0.4888888888 ...

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or 0.4 + 0.0888888888 ...      or 0.4 + ------------

                                                                1 - 1/10

                                             

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and this simplifies to 0.4 + ------------  =  0.4 + ---------

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Evaluating this last result on a calculator results in 0.488888888 ...

c)  0.48 expressed as a fraction is  48/100 = 12/25

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