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forsale [732]
3 years ago
10

An architect's scale drawing of a new school is 8.4 inches long. The scale used in the drawing is 2 inches = 8 feet.

Mathematics
1 answer:
Brut [27]3 years ago
3 0

Answer:

33.6f eet

Step-by-step explanation:

if

2=8 then

8.4x8= 67.2/2= 33.6 feet

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Below is the graph of a trigonometric function. It intersects its midline at (3.7, 5) and again at (5.9, 5).
Flauer [41]

Answer:

4.4

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

\sf f(x)= A \sin(B(x+C))+D

where:

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The <u>period</u> is the horizontal distance between consecutive peaks, which is the same as <u>twice the horizontal distance between the intersection of the curve and the mid-line</u>.

Given consecutive points of intersection between the curve and the mid-line:

  • (3.7, 5)
  • (5.9, 5)

Therefore, the horizontal distance between these two points is:

5.9 - 3.7 = 2.2

⇒ Period = 2.2 × 2 = 4.4

-------------------------------------------------------------------------------------

To create the equation for the function.

From inspection of the given graph:

  • Amplitude (A) = 6
  • Mid-line is y = 5
  • Vertical shift (D) = +5

Period = 2π/B = 4.4  ⇒  B = 5π/11

Phase Shift (C) = -3.7

Substituting the values into the standard form:

\implies \sf f(x)= 6 \sin\left(\dfrac{5}{11}\pi(x-3.7)\right)+5

\implies \sf f(x)= 6 \sin\left(\dfrac{5}{11} \pi x-\dfrac{37}{22}\pi \right)+5

8 0
2 years ago
Linda
Nataliya [291]

Answer: 6

Step-by-step explanation:

The circumference is always x2 of the radius

4 0
4 years ago
Which of the following graphs depicts the graph of the given system of equations
vaieri [72.5K]

Answer: it is the x multiplied by the y axis


Step-by-step explanation:


8 0
3 years ago
Solve for x 2(3x+5)=22
galben [10]

Answer:

Step-by-step explanation:

multiply 2 with right hand equation

6x+10=22

6x=22-10

6x=12

x= 12/6

x=2 answer

8 0
4 years ago
Read 2 more answers
Select all the distribution shapes for which it is most often appropriate to use the mean .
goblinko [34]

The distribution shape that tells us for which it is best to use the mean is the skewed.

<h3>What is the mean?</h3>

This is the term that is used to refer to the average score that exists in a data set.

In the question, these are the reasons why the other options are not correct

When we say Bimodal we are talking about the 2 modes that are in a symmetric distribution. This has nothing to do with the mean

The bell shape has to do with how the normal distribution is when it is drawn. It would create a bell shape hence the mean is not useful.

symmetric has to do with the fact that there are mirror images when the vertical line is drawn in the distribution.

Uniformed shapes tells us that the classes are made up of the same frequency all through.

The skewed shape is what tells us if the median is more or if it is less.

Hence we have the answer that the distribution shapes for which it is most often appropriate to use the mean is the skewed.

Read more on the mean here

brainly.com/question/17847237

#SPJ1

4 0
1 year ago
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