What is the equation of the following line written in general form

Answer:

40 sqrt 3

Step-by-step explanation:

To find the other side of the triangle:

The triangle is a 30 60 90 right triangle

So...

The other side of the triangle is 4

Area of the trapezoid:

Area of the rectangle+ Area of the triangle:

6* 4root 3+ 4 root3* 4

Answer: 40 sqrt 3

Answer:

44.3

Step-by-step explanation:

1. try to find A

10-(4 radical 3 squared plus b squared equal 64)=A

The equation in parentheses is the pythagorean theorem to find "b" of the triangle

A is 2 radical 13

The base is 10

The height is 4 radical 3

Use the formula and you get the answer.

Answer:

Five less than 1/3 a number n is 3.

[tex]\frac{1}{3}n-5=3[/tex]

Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)

2x+4>3+(-7)

2x+4>3-7

Answer:

y= -5/4+ 20

Step-by-step explanation:

1. switch x and y

2. multiply both sides by 5

3. divide both sides by -4

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

Answer:

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

[tex]\bar x[/tex] = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < [tex]\bar x[/tex] < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

Answer:

A = 15 yd^2

Step-by-step explanation:

The area of a triangle

A = 1/2 bh where b is the base length and h is the height

A =1/2 (10) * 3

A = 15 yd^2

Answer:

15 yd squared

Step-by-step explanation:

Multiply the base by the height and divide by 2. So 10x3 is 30 and 30 divided by 2 is 15.

Answer:

2

Step-by-step explanation:

The equation is p = 8/v.

If p = 4, then p = 4 = 8/v

Inverting both sides, we get  

                           1/4 = v/8

Multiplying both sides by 8, we get:

                              2 = v

If the value of p is 4, then the value of V will be 2. Then the correct option is C.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

p = 8/V

If the value of p is 4, then the value of V will be

4 = 8 / V

V = 8 / 4

V = 2

Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.

5x*4x=20x^2

5x*4=20x

2*4x=8x

2*4=8

Combine them all together and you get 20x^2 + 28x +8

I hope this helps.

Answer:

20x^2 + 28x + 8

Step-by-step explanation:

you use the box method shown in the picture to multiply then combine like terms

Answer:

A.2304

B.5625

C.6776

Step-by-step explanation:

The easiest way to show you is by using calculator. If you can't, try  using Khan Academy if you want.

Answer:

24 pens are blue

Step-by-step explanation:

32 pens in total and 3/4 of it are blue.

32 ÷ 4 = 8

8 × 3 = 24

24 of the 32 pens are blue pens

Answer:

Lena has 24 blue pens!

Step-by-step explanation:

In this type of problem, you simply have to multiply 3/4 by 32. And you will get the correct answer:

1). 3/4 * 32 = 24

Hope this Helps))) ^‿^

Answer:

any number except -20

Step-by-step explanation:

[tex]|-k-2|<18[/tex]

[tex]-k-2<18[/tex]                              [tex]-k-2>18[/tex]

[tex]-k<18+2[/tex]                               [tex]-k>18+2[/tex]

[tex]-k<20[/tex]                                      [tex]-k>20[/tex]

Multiply by -1 to make the k positive. This will alter all the terms which means 20 will become negative. NOTE: When multiplying or dividing by negative numbers, the inequaliy sign flips.

[tex]k>-20[/tex]                                           [tex]k<-20[/tex]

k must be either greater than -20 but not including it or fewer than -20 but not including it; therefore, any number between negative infinity and -21 and -19 and postive infinity

Answer:

75 pounds

Step-by-step explanation:

To solve this problem, find 3/4 of 100.

To multiply fractions, multiply the numerators by each other and the denominators by each other.

3/4 * 100/1

Evaluating 3*100 and 4*1, the fraction becomes 300/4.

Now, divide 300 by 4 to get the final answer. 300/4 = 75. Therefore, 75 pounds of the students weight is water.

Answer:

75 lbs

Step-by-step explanation:

3/4 * 100

3 * 100/4

3 *25

75 lbs is water

Answer:

for diamond or spade: 1/2= 0.5 = 50%

Step-by-step explanation:

13/52 = 1/4 to diamond, heart, club or spade

1/4= 0.25

0.25*100% = 25%

If we need to choose diamond or spade,

1/4 for diamond, 1/4 for spade

diamond or spade:   1/4+ 1/4=1/2

1/2 = 0.5 = 50%

Answer:

2/4

0.50

50%

Step-by-step explanation:

If its a diamond or spade then it is it is basically written as 2/4 since there is 4 suits and your trying to pull 2 out of the four. 50% converts to 2/4 and you can turn 50% to decimal by putting a decimal point and a 0 to get 0.50

Answer:

quadrilateral

Step-by-step explanation:

bc they all have 4 sides...... some one correct me if I am wrong ......bit not in a rude way

Answer:

2/7, 7/13, 5/9, 10/11

Step-by-step explanation:

I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.

If this answer is correct, please make me Brainliest!

Answer:

From least to greatest, 2/7-7/13-5/9-10/11

Step-by-step explanation:

It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.  

7              5

___ and ___ so now you multiply the denominators together to get 117

13             9

so the fractions will become

7*9          5*13

___ and ___   and when u multiply them together you get 63 for 7/13 and 65

117            117

for 5/9, so 5/9 is bigger

Answer:

c

Step-by-step explanation:

I say c because i couldn't decide between c or d.

Step-by-step explanation:

In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?

A) 156  this is most likely correct

B)204  This one may be correct

C)238  X

D)282  X

hope

Based on the calculations, the measure of angle CAD is equal to: C. 238°.

A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. Thus, a right angle has a measure of 90 degrees.

Angle DBC = 90 - Angle BDC

Angle DBC = 90 - 29

Angle DBC = 61°.

Angle DC = 2 × (Angle DBC)

Angle DC = 2 × 61

Angle DC = 122°.

Now, we can determine the measure of angle CAD:

Angle CAD = 360 - Angle DC

Angle CAD = 360 - 122

Angle CAD = 238°.

Read more on right angle here: https://brainly.com/question/10184402

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Answer:

Left group: [tex]2x^{5\\}[/tex]     Right group: 3

Step-by-step explanation:

Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )

21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.

Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex]  =  2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)

Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].

Answer:

5/12 - 1/6

Step-by-step explanation:

-1/2( -5/6+1/3)

Distribute

-1/2*-5/6  -1/2*1/3

5/12 - 1/6

I scanned for a pair of x coordinates that match and a pair of y coordinates that match.  That would be a right triangle whose sides are parallel to the axes.    It's possible our right triangle is more complicated, but let's start here.

Nope, it doesn't look like our right triangle is oriented to the axes.  Let's do the Pythagorean Theorem.

1) A(-1, -3), B(4, -3), C(2, -1)

AB² = (4 - -1)² + (-3 - -3)² = 25

AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13

BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8

25 ≠ 13 + 8, not a right triangle

2) A(-2, 2), B(1, -4), C(4, 2)

AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45

AC²= (4 - -2)² + (2 - 2)² = 36

BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45

not a right triangle, but isosceles

3) A(-1, 1), B(3, 5), C(4, -4)

AB² = 4² + 4² = 32

AC²= 5² + 5² = 50

BC²= 1² + 9² = 82

BC² = AC² + AB²,  THIS IS A RIGHT TRIANGLE

4) A(-1, 3), B(-4, -3), C(-4, 1)

AB² = 3² + 6² = 45

AC²= 3² + 2² = 13

BC²= 0² + 4² = 16

not a right triangle

Answer: 3) A(-1, 1), B(3, 5), C(4, -4)

Answer:

8 over 20

Step-by-step explanation:

i guessed

Answer:

6 Over 10

Step-by-step explanation:

I did the math and got 100% on my Unit Test.

Answer:

The volume of the new tent will be 3/2 times the volume of the original

Step-by-step explanation:

The original tent is a triangular prism, which missing dimensions of the tent are:

Volume of the original tent:

V = 1/2*b*h*l

The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.

Volume of the new tent:

V' = 1/2*b*h'*l

Dividing V' by V:

V'/V = (1/2*b*h'*l)/(1/2*b*h*l)

V'/V =h'/h

Replacing with data:

V'/V =6/4

V' = 3/2*V

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge

Answer:

b. B.) -1/2a - b = h

Step-by-step explanation:

combine 1/2b and h

Answer:

here's an equation that has a degree of 2

[tex]4x^2-37x+19[/tex]

or

(x+3)(x-1)

=(x^2+2x-3)

The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has been collecting video games for a year. The table below shows how many games she has received over the year.

                          Amount of video games

Birthday                             4

Holidays                            8

School trades                    6

Then the total number of the video games will be

⇒ 4 + 8 + 6

At the end of the year, she went to a store and sold half of her video games.

⇒ (4 + 8 + 6) / 2

⇒ (4 + 8 + 6) : 2

Then the expression C is correct.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

3/4

Step-by-step explanation:

Answer:

I believe it is 3/4

Step-by-step explanation:

Simplest form right?

9/3=3

12/3=4

Answer:

option A

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

There is the same opposite arch for both angles so they should be equal.

Hope this is helpful!

Answer:

Margin of Error = 1.0% to the nearest tenth of a percent.

Step-by-step explanation:

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.

Critical value = 1.960

Standard error = σₓ = √[p(1-p)/n]

p = 87% = 0.87

n = sample size = 4530

σₓ = √[0.87×0.13)/4530]

= 0.0049966876

Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.

Hope this Helps!!!