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Arisa [49]
3 years ago
13

In this problem, the tapes used were assumed to be 30.0 m long. Later, when the tapes were standardized, they were found to have

different tape lengths. Determine the correct distance measured if the measured distance was 1858.23 m, and the correct tape length was 29.97 m. Use two decimal places
Mathematics
1 answer:
romanna [79]3 years ago
3 0

Answer:

1856.37 m

Step-by-step explanation:

When the tapes were taken as 30.0 m long, the measured distance was 1858.23 m. This is equivalent to \dfrac{1858.23}{30}=61.941 tapes.

With the correct tape length now 29.97 m, the measured distance is

29.97\times61.941 \text{ m} = 1856.37177  \text{ m} = 1856.37  \text{ m} to 2 decimal places.

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The Sears Tower in Chicago is 1450 feet high. A model of the tower is 48 inches tall. What is the ratio of the
Leni [432]

Answer: choice a.

Step-by-step explanation:

1 feet = 12 inches.

Sears tower = 1450 * 12 = 17400 inches.

Now,

48 : 17400

= 2 : 725

5 0
3 years ago
The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and
Alex_Xolod [135]

Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.

<span><span>y=mx+b</span><span>y=mx+b</span></span>

Where m is the slope and b is the y-intercept.

Example

Graph the equation

<span><span>y−2x=1</span><span>y−2x=1</span></span>

rewrite in slope-intercept form

<span><span>y=2x+1</span><span>y=2x+1</span></span>

Identify the slope and the y-intercept

m = 2 and b = 1

Plot the point corresponding to the y-intercept, (0,1)

The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)

And once you have your second point you can just draw a line through the two points and extend it in both directions.

You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.

Our second point = (1, 3)

<span><span>y−2x=1</span><span>y−2x=1</span></span>

<span><span>3−2⋅1=3−2=1</span><span>3−2⋅1=3−2=1</span></span>

Our second point is a solution to the equation i.e. the line we drew is correct.

A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.

<span><span>y=mx</span><span>y=mx</span></span>

In a direct variation the nonzero number m is called the constant of variation.

You can name a function, f by using the function notion

<span><span>f<span>(x)</span>=mx+b</span><span>f<span>(x)</span>=mx+b</span></span>

f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.

A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.

The most basic function in a family of functions is called the parent function. The parent function of all linear functions is

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4 0
3 years ago
Nesreen wants to find out how often people in her town visit the cinema.
cricket20 [7]
Tbh I don’t know and I hope someone gives you the answer
3 0
3 years ago
Which statement is true? A. A triangle can be congruent to a square. B. A rectangle can be congruent to a square. C. All circles
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<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Congruent means it is the same shape and size. Therefore, A is incorrect as a triangle and a square aren't the same shape. The same applies to B. C is also incorrect as not all circles are the same size.

In short, the correct answer is option D. None of the above is true.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
3 years ago
A ​99-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Ann [662]

Answer:

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Step-by-step explanation:

x=length of board

x+2x=99

3x=99

x=33

4 0
3 years ago
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