What is the square root of 360 rounded to the nearest thousandth

Answers

Answer 1
The square root of 360 is 18.97

Related Questions

If a coin is tossed 4 times, and then a standard six-sided die is rolled 2 times, and finally a group of four cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?

Answers

[tex]\(1138368400\)[/tex] different outcomes possible when considering all the events together.

Coin Toss: Since each toss is independent of the others, the total number of outcomes for 4 tosses is:

[tex]\(2 \times 2 \times 2 \times 2 = 2^4 = 16\)[/tex].

Die Roll: A standard six-sided die has 6 faces, each with a different number from 1 to 6. When the die is rolled once, there are 6 possible outcomes. If the die is rolled 2 times, the number of different outcomes is:

[tex]\(6 \times 6 = 6^2 = 36\)[/tex]

Card Draw: When drawing a card from the deck, there are 52 possible outcomes. If a second card is drawn without replacing the first, there are now 51 possible outcomes for the second card (since one card has already been drawn). Continuing this pattern, for the third card, there are 50 possible outcomes, and for the fourth card, there are 49 possible outcomes.

The number of different outcomes for drawing 4 cards without replacement is: [tex]\(52 \times 51 \times 50 \times 49\)[/tex].

[tex]\[ \text{Total Outcomes} = (\text{Coin Toss Outcomes}) \times (\text{Die Roll Outcomes}) \times (\text{Card Draw Outcomes}) \][/tex]

[tex]\[ \text{Total Outcomes} = 16 \times 36 \times (52 \times 51 \times 50 \times 49) \][/tex]

[tex]\[ \text{Total Outcomes} = 6^2 \times 52 \times 51 \times 50 \times 49 \][/tex]

[tex]\[ \text{Total Outcomes} = 36 \times 52 \times 51 \times 50 \times 49 \][/tex]

[tex]\[ \text{Total Outcomes} = 36 \times 31625400 \][/tex]

[tex]\[ \text{Total Outcomes} = 1138368400 \][/tex]

How do I write 19.4 in expanded form

Answers

Final answer:

To write 19.4 in expanded form, you can break down the number into its place values. The digit 1 is in the tens place, the digit 9 is in the ones place, and the digit 4 is in the tenths place. Therefore, 19.4 in expanded form is 10 + 9 + 0.4.

Explanation:

To write 19.4 in expanded form, we break down the number into its place values. The digit 1 is in the tens place, the digit 9 is in the ones place, and the digit 4 is in the tenths place. So, we can write 19.4 in expanded form as 10 + 9 + 0.4.

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A number changed to 12.6 after it was rounded to what place was the number rounded what would the answer be




Answers

Answer:  "to the nearest tenths place" .
__________________________________________

A boat traveled downstream a distance of 80 mi and then came right back. If the speed of the current was 7 mph and the total trip took 3 hours and 20 minutes, find the average speed of the boat relative to the water.

Answers

recall your d = rt, distance = rate * time.

going forth and back is 80 miles, thus upstream as well as downstream is just 80 miles.

now, bear in mind that say, the boat has a "still water" of "b", when going downstream, is not going "b" fast is going "b+7" because the current's is adding to it, likewise when is going upstream is going "b-7" because is going against the current and thus the current is eroding speed from it.

now, the whole trip took 3 hours and 20 minutes, bearing in mind that 20 minutes is 1/3 of an hour, so is 3 and 1/3 hours, or 10/3 of hours.

if say it took "t" hours going down, then going up it took the slack from 10/3 and "t", that is, it took "10/3 - t".

[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ Downstream&80&b+7&t\\ Upstream&80&b-7&\frac{10}{3}-t \end{array} \\\\\\ \begin{cases} 80=t(b+7)\implies \frac{80}{b+7}=\boxed{t}\\\\ 80=(b-7)\left(\frac{10}{3}-t \right)\\ ----------\\ 80=(b-7)\left(\cfrac{10}{3}- \boxed{\frac{80}{b+7}} \right) \end{cases}[/tex]

[tex]\bf \cfrac{80}{b-7}=\cfrac{10}{3}-\cfrac{80}{b+7}\implies \cfrac{80}{b-7}=\cfrac{10(b+7)-80(3)}{3(b+7)} \\\\\\ \cfrac{80}{b-7}=\cfrac{10b+70-240}{3(b+7)}\implies \cfrac{80}{b-7}=\cfrac{10b-170}{3(b+7)} \\\\\\ 3(b+7)80=(b-7)(10b-170)\\\\\\ 240(b+7)=(b-7)(10b-170) \\\\\\ 240b+1680=10b^2-240b+1190\implies 0=10b^2-480b-490 \\\\\\ 0=b^2-480b-49\implies 0=(b-49)(b+1)\implies b= \begin{cases} \boxed{49}\\ -1 \end{cases}[/tex]
Final answer:

By converting the total trip time to minutes, using the formula for speed (distance/time), and using a system of equations representing the total trip speed when the boat is moving downstream and upstream, we can find the average speed of the boat relative to the water.

Explanation:

To solve this problem, we first need to convert the total trip time to minutes to make calculations easier. Given in the problem, 3 hours 20 minutes equates to 200 minutes. Next, we should use the formula for speed, which is distance divided by time. We know that the total distance traveled by the boat is 80 miles downstream and 80 miles back, totaling 160 miles.

When moving downstream, the speed of the boat and the speed of the current both aid in the boat’s motion. Thus we have speed of the boat = speed of the boat in still water + speed of the current.  However, when the boat is moving upstream, the speed of the current works against the boat's motion. Thus we have speed of the boat = speed of the boat in still water - speed of the current.

By using the system of these equations and the fact that total time equals total distance divided by the speed of the boat, we can find the speed of the boat in still water, which represents the average speed of the boat relative to the water.

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Identify the expressions and the value that are equivalent to 6 times 5 squared.

Answers

Six * five squared
6*5^2
=6*25
=150

The value that is equivalent to 6 times 5 squared is 150.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical relationship or a quantity.

Expressions in mathematics can be evaluated or simplified to produce a single value or to represent a more simplified form of the original expression.

6 times 5 squared can be written in a few different ways:

6 x 5²

6 x 25

150

So the expressions that are equivalent to 6 times 5 squared are:

6 x 5²

6 x 25

The value that is equivalent to 6 times 5 squared is 150.

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If 4 bushels of rye weigh 76 lb, how much do 8.5 bushels of rye weigh?

Answers

76 / 4 = 19 lbs for 1 bushel
19 x 8.5 = 161.5 lbs for 8.5 bushels

8.5 bushels of rye weigh 161.5 lbs

Answer: 161.5 lbs

Step-by-step explanation:

Given : The weight of 4 bushes of rye = 76 lb

By applying UNITARY METHOD, the weight of 1 bush will be :-

[tex]\text{ Weight of 1 bush}=\dfrac{76}{4}\\\\\Rightarrow\ \text{ Weight of 1 bush}=19\text{lb}[/tex]

Now, the weight of 8.5 bushes = [tex]8.5\times19[/tex]

The weight of 8.5 bushes = 161.5 lbs

Therefore, the weight of 8.5 bushels of rye= 161.5 lbs

Hence, the required answer is "161.5 lbs".

IF b= -8 and a= 3 what are the steps to solve the following:

b -a - 3 =

Answers

the correct answer is -14
Let's plug in the variables. 

(-8) - 3 - 3 is the same as saying -8 + -3 + -3

So, -8 + -3 + -3 or (-8) - 3 - 3 = -14

Thus the answer is: 14

Ned has scored 84 points in the first 6 games of the basketball season. How many points per game has Ned scored?

Answers

84/6 = 14

Ned scored ~14 points a game

hope this helps

Answer:

84/6=14

Step-by-step explanation:

read the answer

On a Venn diagram, a value that represents what two circles have in common is written outside of both circles. True or false

Answers

Answer: False. 

Values that are in common with both circles will be inside both circles. These values will be in the overlapping region of the two circles. 
false. On a Venn diagram, a value that represents what two circles have in common is written inside the both circles .

A survey asked a group of people the size of their households. The results are shown in the frequency distribution.



What is the mean of the frequency distribution? Round your answer to the nearest tenth.

Household size 1 2 3 4 5
f 2 4 6 5 2

3


3.1


3.8


11.6

Answers

Answer: 3.1

Step-by-step explanation:

The mean of the frequency distribution is 3.1. Which is the correct answer would be an option (B)

What is arithmetic mean?

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the frequency distribution as :

Household size (x)         Frequency (f)                    fx      

           1                                   2                            1 × 2 = 2

           2                                   4                           2 × 4 = 8

           3                                   6                           3 × 6 = 18

           4                                   5                          4 × 5 = 20

           5                                   2                           5 × 2 = 10

Summation of fx = (Σfx) = 2 + 8 + 18 + 20 + 10 = 58

Total frequency = (Σf) = 2 + 4 + 6 + 5 + 2 = 19

⇒ Mean = Σfx/Σf

⇒ 58/ 19

⇒ 3.1

Thus, the mean of the frequency distribution is 3.1.

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Convert 1/3 and 4/5 to a decimal. Are both of them repeating or terminating?

Answers

1/3 = 0.33333 ( repeating)

4/5 = 0.8 (terminating)

What is the midpoint of the x-intercepts of
f(x) = (x – 4)(x + 4)?

Answers

Since the x intercepts are when f(x)=0, they're at x=4 and x=-4 due to that 4-4=0 and -4+4=0 and anything times 0 is 0. Next, to find the midpoint, we add the numbers and divide by 2, getting (-4-(-4))/2=0/2=0 for our x value, and since f(x)=y and that's 0 since it's a x intercept, we have (0,0)

Answer:

midpoint is (0,0)

Step-by-step explanation:

the midpoint of the x-intercepts of

[tex]f(x) = (x - 4)(x + 4)[/tex]

To find the midpoint of x intercepts, we need to find the x intercepts first

we find x intercepts by replacing f(x) with 0

[tex]0 = (x - 4)(x + 4)[/tex]

Set each factor =0 and solve for x

[tex]x-4=0 , x=4[/tex]

[tex]x+4=0, x=-4[/tex]

X intercepts are -4  and 4

Midpoint of -4 and 4 is [tex]\frac{-4+4}{2} =0[/tex]

X intercepts lies on x axis . So midpoint is (0,0)

If 5 sandwhich rolls cost 1.10 how much will 14 rolls cost

Answers

If you divide 1.10 by 5 that means each roll is about .22 so you'll multiply that by 14 and get 3.08
you need to divide 1.10 by 5 to get 22 and the you multiply it by 14 and you will get 3.08 in total.

In an attempt to reduce the growth of its population, China instituted a policy limiting a family to one child. Rural Chinese suggested revising the policy to limit families to one son. Assuming the suggested policy is adopted and that any birth is as likely to produce a boy as a girl, and the successive births are independent, explain the following:

A) What would be the average family size?

B) What would be the ratio of newborn boys to newborn girls?

Answers

A) Average family size will be 2 children + 2 parents or a total of 4 people. B) Ratio of newborn boys to girls will be 1:1 For this, I will assume that each family will continue to have girl babies until a boy is born, then they will stop having children. So let's determine the number of girls that are born. 1/2 of all families will have a girl as their first child. 1/4 of all families will have a girl as their second child. 1/8 of all families will have a girl as their third child. The average number of girl children per family will be the limit of the infinite sequence 1/2 + 1/4 + 1/8 + 1/16 + ... + 1/(2^n) where n approaches infinity. The limit to the above equation is 1. So on average there will be 1 girl per family. Now each family continues to have children until they get a boy. So each family will have 1 boy. So the average family size will be 2 children. Half the families will only have 1 boy, 1/4th will have 1 girl, and 1 boy, 1/8 will have 2 girls and 1 boy, etc. So the average family size is only 2 children. And the ratio of boys to girls will be 1 to 1 as expected if the birth of a boy is just as likely as the birth of a girl.

42in to 9 feet insimplest form

Answers

Dkjshsbdjsksmkakakakakkaka

Shawn downloads movies at a base price of $2 per movie. If he downloads 5 movies, he will get a 25% discount. How much will Shawn save on the base price if he downloads 5 movies?

Answers

Hi there!

First, you will need to multiply the amount of movies times the base price.

5 * 2 = 10

Now, 25% is a quarter and we know a quarter of 10 is 2.5.

This means that the normal price with no deal will be $10.

Subtract $2.50 and you have your answer!

10 - 2.5 = 7.5

He only has to pay $7.50 and saves $2.50!

:)

Answer:

$2.50

Step-by-step explanation

what percent of 18 is 63

Answers

350% of 18 is 63
63/18=x/100
63(100)=18(x)
6300=18x
350=x

Check Your Math
3.5*18=63
63=63
18 percent of 63 is 11.34

1. Given a segment with endpoints A and B, what figure can you construct using the steps below?
Step 1: Draw a ray with endpoint C.
Step 2: Open the compass to the length of AB.
Step 3: With the same compass setting, put the compass point on point C. Draw an arc that intersects the ray. Label the point of intersection D.
a. a perpendicular bisector
b. a congruent segment
c. an angle bisector
d. a congruent angle

2. Given a segment with endpoints A and B, what figure can you construct using the steps below?
Step 1: Put the compass point on A and draw a long arc. Be sure the opening is grater than 1/2 AB.
Step 2: With the compass on the same setting, put the compass point on B and draw another long arc. Label the points where the two arcs meet as X and Y.
Step 3: Draw XY. Label the point of intersection of AB and XY as M, the midpoint of AB.
a. a perpendicular bisector
b. a congruent segment
c. an a

Answers

number one is c. an angle bisector i think number 2 is b. a congruent segment i think

1. For that accurate reason, CD and AB will be congruent. the answer here is B) A congruent segment. 2. Option (A) is the right answer. We can construct a perpendicular bisector usind the given steps.

How to find the correct steps?

1. Form opening the compass to the length of AB you are setting the radius of the circle the compass could create to the same length of AB then by intersecting with the ray C, we have to copied the length of AB to ray C.

For that accurate reason, CD and AB will be congruent.

Therefore, The answer here is B) A congruent segment.

2. Given a segment with endpoints A and B.

By using the construction step we will draw the following figure that  represents a perpendicular bisector XY of line segment AB.

Hence, Option (A) is the right answer. We can construct a perpendicular bisector usind the given steps.

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Solve formula please

Answers

c=PI*d

divide both sides by PI to get d by itself

d = c/PI

Suppose there are two full bowls of cookies. bowl #1 has 10 chocolate chip and 30 plain cookies, while bowl #2 has 20 of each. our friend stacy picks a bowl at random, and then picks a cookie at random. we may assume there is no reason to believe stacy treats one bowl differently from another, likewise for the cookies. the cookie turns out to be a plain one. how probable is it that stacy picked it out of bowl #1?

Answers

its an even probability that she picked it out of either bowl, theyre trying to trick you by saying which bowl has more plain lol.

The that stacy picked it out of bowl #1 is 0.6

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Bowl 1 has 10 chocolate chip and 30 plain cookies, while Bowl #2 has 20 of each.

So, P[tex](H_1|E)[/tex]

= P( E| [tex]H_1[/tex]) P([tex]H_1[/tex]) / [  P( E| [tex]H_2[/tex]) P([tex]H_2[/tex] )+  P( E| [tex]H_1[/tex]) P([tex]H_1[/tex])  

= (0.75 x 0.5) / (0.75 x 0.5 + 0.5 x 0.5)

= 0.375 / (0.375 + 0.25)

= 0.6

Hence, the probability is 0.6

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Find the next three terms in the patter 9, 4, -1, -6, -11....then describe the pattern

Answers

you can notice that each time you subtract 5
9-5=4
4-5=-1
-1-5=-6
-6-5=-11
following the same pattern, the next term would be:
-11-5= -16
this is a linearily decreasing pattern (decreases with constant linear rate)

63 POINTS!!!!!
Please help fast 1.4t-0.4(t-3.1)=5.8

t= what

Answers

1.4t - 0.4t - 1.24 = 5.8

1t -1.24 + 1.24 = 5.8 + 1.24

1t = 5.8 + 1.24

t = 7.04

hope this helps

What is the approximate base area of the resulting figure?
Area of a circle: A = πr2

Answers

Answer:   [tex]78.5\ cm^2[/tex]

Step-by-step explanation:

From the given we can see that there is a  rectangle is rotated about a line bisecting its length in segment of 5 cm in each.

Since the base will be a circle, then the area of the base will be :-

[tex]\text{Area of base}=\pi r^2\\\\\\\Rightarrow\text{Area of base}=3.14\times(5)^2\\\\\\\Rightarrow\text{Area of base}=78.5\ cm^2[/tex]

Hence, the base area of the resulting figure = [tex]78.5\ cm^2[/tex]

The approximate base area of the rectangle is rotated about a line bisecting its length in segments of 5 cm in each is 78.5.

From the given, we can see that there is a  rectangle is rotated about a line bisecting its length in segments of 5 cm in each.

Since the base will be a circle, then the area of the base will be

What is the area of the base?

A=pir^2

Where r is the radius of the circle.

A=3,14(5)^2

A=78.5.

Therefore, the approximate base area of the resulting figure is 78.5.

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17 - 8.63 find the sum please thank you

Answers

subtract the numbers. You should get 8.37.

Given line L = ax + by + c = 0, b 0 What is the x-intercept? y-intercept?

Answers

Answer:

On Odyssey ware it is -c/a

Step-by-step explanation:

Final answer:

The x-intercept and the y-intercept of a line can be found by setting y and x to zero in the line equation respectively. The x-intercept is -c/a and the y-intercept is -c/b.

Explanation:

To find the x and y-intercepts of the given line equation L = ax + by + c = 0, we must set one variable to zero and solve for the other.

To find the x-intercept of a line, we can set y to zero (as this is the case when the line crosses the x-axis), we get:

L = ax + b(0) + c = 0 or x = -c/a

Therefore the getX-intercept of the line is -c/a.

Similarly to find the y-intercept of the line equation, we can set x to zero (as this is the case when the line crosses the y-axis), we get:

L = a(0) + by + c = 0 or y = -c/b

Hence, the y-intercept of the line is -c/b.

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How many liters of a 10% alcohol solution must be mixed with 90 liters of a 60% solution to get a 30% solution?

Answers

Since 10% = 0.10 by moving the decimal two spots to the left, we can say that 0.10L is the amount of alcohol with 10% concentration in L liters. Similarly, 0.60L is 60% for L liters and 0.30L is the amount of liters with 30%. If the amount of 10% alcohol solution in liters is x and the 60% in y, we get 0.10x+0.60y=0.30L due to that the liters add up to get a 30% amount of alcohol (this equation represents the amount of alcohol). Next, x+y=L. Since we know that we have 90 liters of 0.60, y=90 and we have 
0.10x+54=0.30L 
x+90=L. Plugging x+90 for L, we get 0.10x+54=0.3(x+90)=0.3x+27. Subtracting 27 and 0.1x from both sides, we get 0.2x=27. Next, we can multiply both sides by 5 (since 1/0.2=5) to get x=135 liters

Which of the following functions has the greatest y-intercept?
f(x) x y
−3 −14
−2 −6
−1 −2
0 3
1 5
2 6

or g(x) = 3 cos(2x) + 1


please include explanation

Answers

the y intercept  occurs when x = 0 so in the case of the first function  it is  y = 3

g(x)  = 3 cos 2x + 1

when x = 0  g(x)  = 3 cos 0 + 1  = 3*1 + 1 = 4

so the answer is  g(x)

Answer:

g(x) has greatest y-intercept.

Step-by-step explanation:

We are given a table of values for function f(x) as:

x   y=f(x)

−3 −14  

−2  −6

−1     −2  

0       3  

1        5  

2       6

We know that the y-intercept of a function is a point where the x-value is zero.

i.e. the input value is zero.

Hence, after looking at the table of values of the function f(x) we have the y-intercept of the function f(x) is:

y=3

Also we are given function g(x) as:

g(x) = 3 cos(2x) + 1

Hence, we calculate the y-intercept of the function g(x) by taking x=0

on taking x=0 we have:

g(0)=3 cos(0)+1

g(0)=3+1=4

Hence, the y-intercept of function g(x) is 4.

Hence, g(x) has the greatest y-intercept.

A salesperson makes a base salary of $2000 a month. Once he reaches $40,000 in total sales, he earns an additional 5% commission on the amount in sales over $40,000. Write a piecewise-defined function to model the salesperson's total monthly salary (in $) as a function

Answers

Answer:

The piecewise-defined function to model the salesperson's total monthly salary (in $) is,

[tex]f(x)=\begin{cases}2000 & \text{ if } x\leq 40,000 \\2000+0.05(x-40000) & \text{ if } x>40000\end{cases}[/tex]

Step-by-step explanation:

It is given that the salesperson makes a base salary of $2000 a month. Once he reaches $40,000 in total sales, he earns an additional 5% commission on the amount in sales over $40,000.

Let the x represents the amount of sales and f(x) represents the salary of salesperson.

It means till the sale of $40,000, the salary of the salesperson is constant, i.e., $2000.

[tex]f(x)=2000[/tex]    for   [tex]x\leq 40,000[/tex]

He will get commision of 5% on the amount in sales over $40,000.

[tex]f(x)=2000+\frac{5}{100}(x-40000)[/tex]  for  [tex]x>40,000[/tex]

Therefore the piecewise-defined function to model the salesperson's total monthly salary (in $) is,

[tex]f(x)=\begin{cases}2000 & \text{ if } x\leq 40,000 \\2000+0.05(x-40000) & \text{ if } x>40000\end{cases}[/tex]

The piecewise-defined function to model the salesperson's total monthly salary (in $) as a functionis [tex]\boxed{f\left( x \right)=\left\{\begin{gathered}2000{\text{ if }}x \leqslant 40000 \hfill\\2000 + 0.05\left( {x - 40000} \right){\text{ if }}x > 40000 \hfill\\\end{gathered}\right.}[/tex].

Further explanation:

The piecewise defined function is defined as a function that takes different values in different interval. It is defined on the sequence of intervals.

Given:

The base salary is [tex]\$ 2000[/tex].

He will earn [tex]5\%[/tex] additional commission on the amount sales over [tex]\$ 40000[/tex].

Explanation:

The base salary of a salesperson in a month is $2000.

If the salesperson reaches to $40000, he will earns 5% additional commission on the amount sales over [tex]\$ 40000[/tex].

The person get [tex]\$ 2000[/tex] if sale less than  [tex]\$ 40000[/tex].

[tex]f\left( x \right) =2000{\text{ for }}x \leqslant 40000[/tex].

The value of the function for less than $40000 is  [tex]f\left( x \right)=2000[/tex].

If he sales over 40000 the amount he will get can be expressed as follows,

[tex]f\left( x \right)=2000+\dfrac{5}{{100}}\left( {x - 40000} \right)[/tex] for[tex]x > 40000.[/tex]

The value of the function for greater than 40000 is  [tex]f\left( x \right)=2000 + \dfrac{5}{{100}}\left({x - 40000} \right)[/tex].

The piecewise-defined function to model the salesperson's total monthly salary (in $) as a functionis [tex]\boxed{f\left( x \right)=\left\{\begin{gathered}2000{\text{if }}x \leqslant 40000\hfill\\2000 + 0.05\left( {x - 40000}\right){\text{if }}x > 40000 \hfill \\\end{gathered}\right.}[/tex]

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2. Learn more about equation of circle brainly.com/question/1506955.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear Equation

Keywords: solving equation, inverse operation, isolate, variable, addition property, good guess, solution, order of operations, reverse order, two solution, linear equation.

Find the scale factor if an airplane is 87 feet long; 2 inches = 15 feet.

Answers

2/15=x/87
two inches to15ft is to x inches to 87ft

Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. Find the geometric mean of the pair of numbers. A. 20 ft B. 38.4 ft C. 55 ft D. 25 ft

Answers

Refer to the diagram below for the sketch of the position of the mirror, Michelle, and the flagpole.

Using similar triangle concept, to find the height of the flagpole, we first need to find out the scale factor of the horizontal distance. 
We write this as ratio
Mirror to Michelle : Mirror to Flagpole
            12ft             :             48ft
             1                :               4

So the ratio of the height is
Michelle : Flagpole
     1         :       4
    5ft       :      20ft

Answer: A

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