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2 years ago

Fill in the scale dimensions in the table to the nearest thousandth.

Mathematics

1 answer:

kondor19780726 [428]2 years ago

5 0

To convert the inches portion of the measurement to feet, divide the inches by 12. Then add that number to the feet. Multiply the sum by 0.25 to get the number of inches on the scale drawing.

When you have this many to do, a spreadsheet or calculator is helpful.

br: 2.625 by 2.750

lr: 6.250 by 4.667

kit: 3.375 by 2.000

dr: 3.000 by 2.500

The dimensions are listed here in the order given in the problem statement. Your answer is requested to be shortest dimension first, so you will need to reverse the numbers for all but the first one.

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3 / m + 4 - 4 / m = 6 (i) Show that this equation can be written as 6m^2 + 25m+16= 0

Evgen [1.6K]

Answer:

Proved Below

Step-by-step explanation:

$\sf \frac{3}{m+4} - \frac{4}{m} = 6\\LCM = m(m+4)\\Multiplying \ both \ sides \ by\ m(m+4)\\3m - 4(m+4) = 6m(m+4)\\3m-4m-16 = 6m^2+24m\\-m-16 = 6m^2+24m\\Adding\ m\ to\ both\ sides\\-16 = 6m^2+24m+m\\-16 = 6m^2+25m\\Adding \ 16 \ to \ both \ sides\\0 = 6m^2+25m+16\\OR\\6m^2+25m+16 = 0$

Hence, Proved that $\sf \frac{3}{m+4} - \frac{4}{m} = 6$ is equivalent to $\sf 6m^2+25m+16 = 0$ .

6 0

3 years ago

Read 2 more answers

Line AC is tangent to circle O at point C<br> What is the measure of OAC?

Nuetrik [128]

AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.

7 0

3 years ago

Use the table below to answer this question:

In-s [12.5K]

In the interval from x=-1 to x=2, x increases by 3. In that same interval, y increases by 6 from -3 to +3. The average rate of change is
.. average rate of change = (increase in y)/(increase in x) = 6/3 = 2

The average rate of change is 2 over the given interval.

8 0

3 years ago

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of

Juli2301 [7.4K]

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

5 0

3 years ago

The graph below represents a population

Nataliya [291]

Answer:

Average rate of change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

Step-by-step explanation:

We need to find the average rate of change for the function for the interval

(6, 12]

The formula used to calculate Average rate of change is:

$Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}$

We are given a=6 and b=12

Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000

and when x=12, y=6000 so, f(b)=6000

Putting values in formula and finding Average rate of change:

$Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{6000-3000}{12-6}\\Average \ rate \ of \ change=\frac{3000}{6}\\Average \ rate \ of \ change=500$

So, average rate of change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

6 0

3 years ago