An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each one working alone to do the job

Answer:

simplified it is 75 the square root of 75 is 8.66025403784

Step-by-step explanation:

Answer:

m∠A = 25° and m∠C = 25°

Step-by-step explanation:

The sum of all three angles in a triangle must add up to 180°.  Since the measure of angle B is 130°, the sum of the other two angles have to be 50°.  

Also, the triangle is isosceles, meaning two of the sides are equal in length.  For those sides, their corresponding angles must also be equivalent.  In this case, it's the two smaller angles.  Since we have 50° between the two angles, A and C, divide 50 by 2 to get 25° for both angle measurements.  

The statement that must be true is m ∠A = 25° and m ∠C = 25°. The correct option is the second option m ∠A = 25° and m ∠C = 25°

From the question, we are to determine which of the statements must be true

From the given information,

m ∠B = 130°

Since the triangle is an isosceles triangle, the base angles must be equal

That is,

m ∠A = m ∠C

But, angles in a triangle sum up to 180°

Then,

∠A + ∠B + ∠C = 180°

This becomes

2 × ∠A + 130° = 180°

2 × ∠A = 180° - 130°

2 × ∠A = 50°

∠A = 50° ÷ 2

∠A = 25°

Since ∠A = ∠C

Therefore,

∠C = 25°

Hence, the statement that must be true is m ∠A = 25° and m ∠C = 25°. The correct option is the second option m ∠A = 25° and m ∠C = 25°

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5% of $80 is $4.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, ____% of $80 = $4

Let x be the percent,

x% of 80 = 4

x = 4*100/80 = 5

Hence, 5% of $80 is $4.

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Answer:

Second test

Step-by-step explanation:

Given that :

FIRST TEST

Mean (m) = 325

Standard deviation (s) = 100

Score (x) = 425

SECOND TEST

Mean (m) = 50

Standard deviation (s) = 6

Score (x) = 65

Express both scores as standardized scores:

Zscore = (x - m) / s

First Score :

Zscore = (425 - 325) / 100

Zscore = 100/100 = 1

SECOND SCORE :

Zscore = (65 - 50) / 6

Zscore = 15 / 6 = 2.5

Student performed better on second test :

Zscore second > Zscore first

9514 1404 393

Answer:

  41

Step-by-step explanation:

The product of segment lengths from the point of intersection to the circle is the same for both chords.

  QC·QE = QD·QF

  2x(21) = (x+4)(30)

  14x = 10(x +4) . . . . . divide by 3

  4x = 40 . . . . . . . . . . subtract 10x

  x = 10 . . . . . . . . . . . .divide by 4

  2x +21 = EC = 2(10) +21 . . . . . find EC

  EC = 41

Answer:

Step-by-step explanation:

Lol since there's 2 P's and 11 letters in MISSISSIPPI. Odds are 2/11.

Answer:

Step-by-step explanation:

0.76923076923

Answer:

ok

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

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Answer:

Step-by-step explanation:

Volume of model v = 20 in³

The volume is the product of 3 dimensions

If each dimension will increase 4 times, then the volume of the product will be:

Answer:

52/20

Step-by-step explanation:

Common sense and simple math

Answer:

The 95%  confidence interval is

           [tex] 5.92  <   \mu  <  7.284 [/tex]

Step-by-step explanation:

From the question we are told that

  The data is  6.5   6.7    7.2    6.4    7.3

Generally the sample  mean is mathematically represented as

         [tex]\= x = \frac{\sum x }{n}[/tex]

=>      [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]

=>      [tex]\= x = 6.6[/tex]

Generally the standard deviation is mathematically represented as

         [tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]

=>      [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]

=>      [tex]\sigma = 0.6512[/tex]

Gnerally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>       [tex]df = 6 -1[/tex]

=>       [tex]df = 5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 5  } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  2.571  *  \frac{0.6512}{\sqrt{6} }[/tex]

=>    [tex]E = 0.6835 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x  -E <   \mu  <  \= x  +E[/tex]

=>     [tex]6.6  - 0.6835 <   \mu  <  6.6  +  0.6835[/tex]

=>     [tex] 5.92  <   \mu  <  7.284 [/tex]

Answer:

cscs

Step-by-step explanation:

aasdadx

Answer:

Step-by-step explanation:

Sally owes 7 dollars to Matthew. She opens her piggy bank and takes out 7 dollars. Now, how much money does she owe to Matthew?

-7 + 7 = 0

-7 + 7 is the same as  7 - 7

You can clearly see that 7-7 is 0.

Answer:

You are in debt of $7. You pay the bank $7. How many money do you owe now?

9 is the answer I hope this helped

Answer:

14

Step-by-step explanation:

Answer:

22 people

Step-by-step explanation:

49 - 5 = 44 cupcakes

44 ÷ 2 =  22 people

Answer:4 minutes

Step-by-step explanation:

16/4 is 4

36/9 is 4

64/16 is 4

Answer:

A. [tex]t = \frac{d}{r}[/tex]

Step-by-step explanation:

Given

[tex]d = rt[/tex]

Required

Determine the time

From the question, we understand that:

[tex]d = distance[/tex]

[tex]r = rate[/tex]

[tex]t = time[/tex]

This question implies that we make t the subject of formula.

[tex]d = rt[/tex]

Divide both sides by r

[tex]\frac{d}{r} = \frac{rt}{r}[/tex]

The equation becomes:

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

Reorder the equation.

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

The correct option is (a) [tex]t = \frac{d}{r}[/tex]

Answer:

100/4

Step-by-step explanation:

Just took the test on iready it was right.

Answer: POQ = 125

Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>

First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.

I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.

I accidentally gave myself a one star rating, that sucks.

Answer:

24ft²

Step-by-step explanation:

4ft×2ft=8ft²

8ft×2ft=16ft²

16ft²+8ft²=24ft²

Answer:

y=1.5

Step-by-step explanation:

if (y = 3) is  (x = 10) and (y = ?) is (x = 5) we see that x is half of the first equation in the second. This means we divide both variables in the first equation by half to get the second. [(x = 10) / 2 = (x = 5)] therefor, [(y = 3) / 2 = (y = 1.5)]. Making your answer 1.5.

Hope this helps :)

Answe - 0. 5692

Step-by-step explanation:

the step is only to let 1 be 10000 and then subtract 4308 from 10000 and it u have any confusion then u can also check it by adding the answer with 4308

and that's it.

If u think it's helpful then plz share to ur friends too.

The difference is 0.5692.

Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.

Decimal number system describes the base 10 number system.

Here we have to find the difference of 1 - 0.4308.

Here, the number is 0.4308, which is a decimal number.

Write 1 as the decimal number as 1.0000

Subtracting as done as usual whole numbers, we get,

1.0000 - 0.4308 = 0.5692

Hence the difference of the given numbers is 0.5692.

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Answer:

1.

4x-5x+3-8

-x-5

2.

3x^2+8x^2-2x+7x

11x^2-5x

3.

4x+9x+2y+3y^2

3y^2+5y+13x

4.

-5x-7x-2

-5x+-7x-2

-12x-2

5.

6(3x-5)-9x

6(3(4)-5)-9(4)

6(12-5)-36

6(7)-36

6

Answer:

40%

Step-by-step explanation:

First, find how many of the first 200 were in color:

200(0.2)

= 40

Then, find how many of the next 300 were in color:

300(0.4)

= 120

Find how many of the last 100 were in color:

100(0.8)

= 80

Then, add these all together to find how many were in color:

40 + 120 + 80

= 240

Then, divide 240 by 600 to find the percent that were in color:

240/600

= 0.4

So, 40% of the 600 advertisements were in color