A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answer:

First let's calculate the area of the bottom part

diameter is 34 m

so the radius (r) is 1/2 * 34 m = 17 m

bottom part is 1/2 of a circle

circle surface area formula is πr²

so surface area of our bottom part is 1/2 * πr²

1/2 * πr² = 1/2 * 3,14 * 17² = 453,73

so it's 453,73 m²

Triangle part consists of 2 smaller rectangular triangles

surface area for rectangular triangle is 1/2 * a * h

in our case a = r = 17 m and h = 30m

so one smaller rectangular triangle is 1/2 * r * h = 1/2 * 17 * 30 = 255

so it's 255 m²

and because our entire triangle part consists of 2 smaller rectangular triangles it's area is 2 * 255 m² = 510 m²

Surface area of the entire figure is a sum of 510 m² and  453,73 m²

510 m² +  453,73 m² =  963,73 m²

Answer:

I think the option B is the answer -9/4 divided by (-2/3)

I hope this might help u

Answer:

  350

Step-by-step explanation:

Answer:

A.  y = |x + 4| - 2.

Step-by-step explanation:

The graph of y = |x| is V shaped and passes through the origin and the slope  is 1 (like the given graph).

y = |x + 4) moves the V shaped graph 4 units to the left so the tip of the V is at x = -4.

Now subtracting 2 from this graph will bring the graph to the point where x = -4 and y = -2.

So the given function is y = |x + 4| - 2.

Answer:

Allan needs 35 liters to travel 420km

Answer:

The answer should be: 35 liters of fuel

Step-by-step explanation:

Answer:

I don't know I need the answer choices

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

5*2/5= 10*1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=mx+b

so inset the first point into the equation

-3 for x and 7 for y.

7=m(-3)+b

y=mx+b

1 for x and -1 for y

-1=m(1)+b

now put them together and solve for m and b.

-1=m+b

7=-3m+b

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

-1-b=m

7=-3m+b

inset m into the equation

7=-3(-1-b)+b

7=3+3b+b

4=4b

b=1

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

insert b back in for -1=m+b

-1=m+1

m=-2

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

Now insert it back into y=mx+b

y=(-2)x+1

so this line contains those points that were given

Hope this helps :)

8 inch radius:

area: 200.96

circum: 50.25

12 yd rad:

area: 452.16

circum:75.36

20 ft dia:

area: 314

circum:62.8

36 dia:

area:1017.36

circum: 113.04

Answer:

Step-by-step explanation:

no its not

its 68.75

Answer:

It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.

Step-by-step explanation:

We use the following relation to solve this question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

Finding the distance:

Charlotte walks home from school every day at a rate of 4 miles per hour. It takes her 30-minutes to reach home.

This means that [tex]t = 0.5, v = 4[/tex]. Time is 0.5 because as the velocity is in miles per hour, the time has to be in hours. We use this to find d.

[tex]v = \frac{d}{t}[/tex]

[tex]4 = \frac{d}{0.5}[/tex]

[tex]d = 4*0.5 = 2[/tex]

The distance is of 2 miles.

Her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour.

We have to find t, in hours, for which [tex]v = 6, d = 2[/tex]. So

[tex]v = \frac{d}{t}[/tex]

[tex]6 = \frac{2}{t}[/tex]

[tex]6t = 2[/tex]

[tex]t = \frac{1}{3}[/tex]

A third of an hour. In minutes, this is a third of 60, that is 60/3 = 20 minutes.

How many fewer minutes does it take Noah than Charlotte to reach home from school each day?

Noah: 20 minutes

Charlotte: 30 minutes

30 - 20 = 10

It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.

Answer:

B & D

Step-by-step explanation:

B & D

Answer:

2nd table

Step-by-step explanation:

Answer:

1/40

Step-by-step explanation:

Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y   -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4  = 0

-67y^2 +270y +  4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and  -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

Answer:

84

Step-by-step explanation:

To divide two fractions we turn the second fraction upside down and multiply two fractions

21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1

This can be written as 84

Answer:

[tex]Probability = \frac{1}{9}[/tex]

Step-by-step explanation:

Given

Toppings: Pico de gallo, Onions and Steak

Required

The probability of getting Onions and Steak

The probability is calculated using:

[tex]Probability = P(Onion)\ and\ P(Steak)[/tex] --- because the events are independent

[tex]P(Onion) = \frac{n(Onion)}{Total}[/tex]

[tex]P(Onion) = \frac{1}{3}[/tex]

[tex]P(Steak) = \frac{n(Steak)}{Total}[/tex]

[tex]P(Steak) = \frac{1}{3}[/tex]

So, we have:

[tex]Probability = P(Onion)\ and\ P(Steak)[/tex]

[tex]Probability = P(Onion)\ *\ P(Steak)[/tex]

[tex]Probability = \frac{1}{3} * \frac{1}{3}[/tex]

[tex]Probability = \frac{1}{9}[/tex]

italian society entered a new era of artistic and academic achievement

Answer:

2. the interquartile range is 20

3. 80 is the median.

Step-by-step explanation:

have a nice day.

Answer:

a complementary good

Step-by-step explanation:

Howard spends $70,000 per year on 5 suits. When his income reaches $200,000, he purchases 15 suits per year. Suits are classified as a normal good based on this information.

To learn more about normal good, refer to:

https://brainly.com/question/12671549

#SPJ2

Answer:

$31.50

Step-by-step explanation:

First find 5 percent of 30 which is 5 divided by 100 multiplied by 30 then add the answer to 30 to get the answer to the question

Answer:

Talking 65 minutes, $ 6.50 must be paid.

Step-by-step explanation:

Since your cell phone plan is by the minute, and each minute of use cost $ 0.10, to create a relation that represents the amount spent, A, per minute, m, of call time, and then use the relation to find the amount spent if you talk 65 minutes, the following calculations must be performed:

0.10 x M = A

0.10 x 65 = A

6.50 = A

Thus, talking 65 minutes, $ 6.50 must be paid.

Answer:

8

Step-by-step explanation:

5 + 3 = 8

Answer:

23.04

Step-by-step explanation:

length×width

4.8×4.8

correct me if im wrong:)

Answer:

One.  The point at which the parabola and the line intersect.

I'll do problem 3 to get you started.

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Part 1) Finding the mean:

The mean is found by adding up all the numbers and dividing by n, where n is the number of items in the set.

We sum the numbers to:

5+8+5+9+6+15+9+3+8+7+10+12 = 97

Then we divide over n = 12

mean = sum/n = 97/12 = 8.083333 approximately

This rounds to 8.08

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Part 2) Finding the standard deviation:

I'm assuming your teacher is talking about the population standard deviation, as opposed to the sample standard deviation.

First subtract each value from the mean. It helps to make a table as shown in the attachment below.

Column A is the original data set. Column B is when we subtract each data item x from the mean M.

Column C is where we square each item in column B.

Adding up everything in column C leads to 118.916666666667 which is approximate. This value is highlighted in the table diagram. Divide this over n = 12 to get 9.90972222222222 which is also approximate

The last step is to apply the square root to that and we get 3.1479711279

This rounds to 3.15

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Part 3) Finding the min:

From here on out, we have fairly simple calculations and don't need to involve a spreadsheet or any complicated formulas.

The min value is the smallest value of the set. So that would be 3

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Part 4) Finding the value of Q1, first quartile:

Sort the items in ascending order, ie from smallest to largest.

You should get this set: {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15}

There are n = 12 items here, so the median is between slot 12/2 = 6 and slot 7. The values in slot 6 and 7 are the two copies of '8'. That must mean the median is (8+8)/2 = 8.

Now break up the set into two equal halves

L = {3, 5, 5, 6, 7, 8} = lower half of six items

U = {8, 9, 9, 10, 12, 15} = upper half of six items

The median of set L is exactly the value of Q1, so that would be (5+6)/2 = 11/2 = 5.5; note how this is exactly between the two middle most values of 5 and 6.

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

Part 5) Finding the median:

We found that earlier in part 4. The median is 8.

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Part 6) Finding the value of Q3, third quartile:

Focus on set U = {8, 9, 9, 10, 12, 15}, which was the upper set of values, ie values larger or equal to the median.

The middle two values here are the '9' and '10'. The median is at the midpoint of these values: (9+10)/2 = 19/2 = 9.5

We have Q3 = 9.5

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Part 7) Finding the max:

The max is the largest item in the original set

Refer to the sorted set {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15} and we see that 15 is the max.

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Part 8) Finding the IQR (interquartile range):

Subtract the values of Q3 and Q1 to get the IQR

IQR = Q3 - Q1

IQR = 9.5 - 5.5

IQR = 4

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Part 9) Finding the range:

The range is a similar idea as the IQR; however, we'll subtract the max and min this time.

Range = max - min = 15 - 3 = 12

The range is 12.

The range, IQR and standard deviation all help us determine the spread of the data. The larger the value gets, the more spread out the data is.

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Summary:

Side note: The phrase "five number summary" refers to the five values of: min, Q1, median, Q3, max. All of which are needed to form a box-and-whisker plot.