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Elena L [17]
3 years ago
8

An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the b

edroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft
Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

C. 14 ft by 21 ft

Step-by-step explanation:

First you want to set up an equation:

3 1/2" over x' = 1/4" over 1'

7/2 = 1/4x

14' = x

Next, do the same thing for the other side of the drawing (5 1/4")

5 1/4" over y' = 1/4" over 1'

21/4 = 1/4y

21' = y

So the answer is 14 ft by 21 ft (C)

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Find sin(x/2), cos(x/2), and tan(x/2) from the given information.
Nimfa-mama [501]

The values of sin (x/2) = 4/√17,   cos (x/2) = 1/√17 and  tan (x/2) = 4.

<h3>What is Trigonometry?</h3>

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

Here, cos x = -15/17  (given)

we know, cos x = 2cos²x/2 - 1

                cos²(x/2) = (cos x + 1)/2

                  cos²(x/2) = (-15/17 + 1)/2

                 cos²(x/2) = 1/17

                 cos (x/2) = 1/√17

then, sin (x/2) = √(1- cos²(x/2))  

          sin (x/2) = √(1 - 1/17)

          sin (x/2) = √16/17

          sin (x/2) = 4/√17

and tan (x/2) = sin (x/2) / cos (x/2)  

       tan (x/2) = \frac{4/\sqrt{17} }{1/\sqrt{17} }

       tan (x/2) = 4

Thus, the values of sin (x/2) = 4/√17,   cos (x/2) = 1/√17 and  tan (x/2) = 4.

Learn more about Trigonometry from:

brainly.com/question/22698523

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6 0
2 years ago
What is 0.25 in scientific notation ?
andriy [413]
The scientific notation of 0.25 is 2.5 x 10⁻¹

Scientific notation is used to handle numbers that are very big or very small.

It has 3 parts, the coefficient, the base and the exponent.

There must be 1 digit before the decimal point in the coefficient. 
10 is always the base
the exponent signifies the number of places the decimal has moved from its original location to the location before 1 digit. Positive exponent signifies that the decimal point is shifted to the right. Negative exponent signifies that the decimal point is shifted to the left.

In the above scientific notationl

2. 5 is the coefficient
10 is the base
-1 is the exponent. the decimal point shifted one place to the left.
4 0
3 years ago
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Which one is correct
Natasha_Volkova [10]

Answer: 1st one, porpostional

Step-by-step explanation:

4 0
3 years ago
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1/4 divided by 7/16 give an example of real world situation that might involve this expression
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Answer:

Step-by-step explanation:

if you have 1/4 of a rope and you need to give 7/16 to your friend how much rope did you give to your friend?

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4 years ago
Which number gives you an irrational product when you multiply it by 2
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<h2>Explanation:</h2><h2></h2>

An irrational number is a number that can't be written as a simple fraction while a rational number is a number that can be written as the ratio of two integers, that is, as a simple fraction. So in this case we have the number 2 which is ration, and we can multiply it by an irrational number n such that the product is an irrational number. So any irrational number will meet our requirement because the product of any rational number and an irrational number will lead to an irrational number. For instance:

\bullet \ 2\sqrt{2} \\ \\ 2 \ is \ rational \\ \\ \sqrt{2} \ is \ irrational \\ \\ 2\sqrt{2} \ is \ irrational \\ \\ \\ \bullet \ 2\pi \\ \\ 2 \ is \ rational \\ \\ \pi \ is \ irrational \\ \\ 2\pi \ is \ irrational

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3 years ago
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