If sin(x) = − 20/29 and x is in quadrant III, find the exact values of the expressions without solving for x. (a) sin(x/2) (b) cos(x/2) (c) tan (x/2)

The given equation is in point slope form, which means that follows this structure:

Where x1 and y1 are the coordinates of one point on the line. According to this, the point that is on the graph is (-2/3, 17).

The extra amount that Adam will have to pay in comparison to Melissa is $300.

Adams and Melissa have taken out a $15,000 loan for a new car. They have to repay the loan in four years.

Melissa has to pay an interest rate of 3% per year while Adam has to pay an interest rate of 3.5% per year.

Melissa's monthly payments are $321 while Adam's monthly payments are $325.

We have to find the extra amount that Adam will have to pay in comparison to Melissa.

Let's calculate the amount Melissa will pay in 4 years

Interest = P × R × T

Interest = 15000 × 3/100 × 4

Interest = $1800

Total amount Melissa will have to pay in 4 years = Principal + Interest

Total amount Melissa will have to pay = $15,000 + $1,800

                                                                = $16,800

Let's calculate the amount Adam will pay in 4 years

Interest =  P × R × T

Interest = 15000 × 3.5/100 *× 4

Interest = $2100

Total amount Adam will have to pay in 4 years = Principal + Interest

Total amount Adam will have to pay = $15,000 + $2,100

                                                             = $17,100

Difference in the amount that Adam and Melissa will pay = Amount Adam will pay - Amount Melissa will pay

Difference = $17,100 - $16,800

Difference = $300

Therefore, the extra amount that Adam will have to pay in comparison to Melissa is $300.

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Answer:

Vowels: E,O,E

Constants: G,M,T,R,Y

Step-by-step explanation:

Vowels: A,E,I,O,U

Constants: Any thing else

GEOMETRY

Vowel: E,O,E

Constants: G,M,T,R,Y

Hope this helps!

Answer:

Step-by-step explanation:

Vowels, in general, are {a, e, i, o, u}, and all 21 of the remaining letters are consonants, with y treated as either a vowel or a consonant.

In the word GEOMETRY, the vowels are {e, o} but also {y|, and

the consonants are {g, m, t, r}

Please note:  the word "constants" does not apply here.  It's "consonants."

Answer:

if ur asking for the square root of it :

square root of √121 is 11

√121

√11×11

√11²

11

hope it helps

Step-by-step explanation:

Answer:

The answer is 80°

Step-by-step explanation:

Here, we know that the sum of all interior angles of hexagon is equal to 720°

So,

x + x + 140 + 140 + 140 + 140 = 720

2x + 560 = 720

2x + 560 – 560 = 720 – 560

2x = 160

2x/2 = 160/2

x = 80°

Thus, The value of x is 80°

For Verification

x + x + 140 + 140 + 140 + 140 = 720

80 + 80 + 140 + 140 + 140 + 140 = 720

720 = 720

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

They have traveled 234 miles when they completed 72 percent of the trips distance ​

from the question, we have the following parameters that can be used in our computation:

Distance = 325 miles

Distance completed = 72%

Using the above as a guide, we have the following:

Distance completed = 72% * Total distance

Substitute the known values in the above equation, so, we have the following representation

Distance completed = 72% * 325 miles

Evaluate

Distance completed = 234 miles

Hence, the distance completed = 234 miles

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Answer:

The last one is the answer.

Answer:

0.015252

Step-by-step explanation:

Multiply the two together using a calulator and you will get the same answer as me.

Have a great day!

Answer:

Option 'b' i.e. -11/20 is the correct option.

Thus,

\(\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}\)

Step-by-step explanation:

Given the expression

\(\frac{1}{5}-\frac{3}{4}\)

Determining the difference of the fractions

\(\frac{1}{5}-\frac{3}{4}\)

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

\(\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}\)

Apply the fraction rule:  \(\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}\)

          \(=\frac{4-15}{20}\)

Add the number: 4-15 = -11

           \(=\frac{-11}{20}\)

Apply the fraction rule:  \(\frac{-a}{b}=-\frac{a}{b}\)

            \(=-\frac{11}{20}\)

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

\(\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}\)

Ashley and her four friends will need 5 hours and 19.57 minutes to make 1575 bags if Ashley takes 2/3 of a minute and each friend takes 75% longer.

The first sexagesimal fraction of an hour, or one-fifth of an hour, or 60 seconds, is known as the minute. On rare occasions, due to leap seconds, a minute in the UTC time zone has 61 seconds (A negative leap second might be inserted, producing a minute of 59 seconds; however, this has never occurred in more than 40 years under this system.) The minute can be used with SI units even if it isn't a SI unit. Minute or minutes is represented by the SI unit min (without a dot). Occasionally, people would slangy refer to minutes of time by the prime symbol.

Calculations:

For a bag, Ashley needs about 2/3 of a minute.

= Ashley prepare bag in 1 minute = 3/2  

Her friends takes 75%  Longer to prepare a bag

time taken by her friends =  2/3  + (75/100)(2/3)

= (2/3)( 1  + 3/4)

= (2/3)(7/4)

= 7/6  Minutes

Her one friend prepare bag in 1 minute =  6/7

Bag prepared by Ashley & her 4 friend in 1 Minute

=  3/2  +  4*6/7

=  (21 + 48)/14

= 69/14  Bag

69/14   Bag prepared in 1 minute

1 Bag prepared in    14/69   minutes

1575  bags prepared  in   1575  * 14/69

= 319.57 minutes

= 5 hrs  19.57 Minutes

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Answer:

B) Alternate Interior Angles Theorem

Step-by-step explanation:

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. In the above diagram, m∠3 ≅ m∠6

Answer:

105°

Step-by-step explanation:

X and 75 has to add up to 180

so 180 - 75 = 105°

Answer:

Step-by-step explanation:

option B

Complementary angles add up to 90°

m∠A + m∠B = 90

30 + 2x + 10 = 90

       2x + 40 = 90

To find the value of x, we have to isolate x. To isolate x, first we have subtract 40 from both sides.

2x = 90 -40

2x = 50

Now, divide both sides by 2

x = 50/2

x = 25°

∠B = 2x + 10

      = 2*25 + 10

    = 50 + 10

∠B = 60°

P(X = 4, Y = 2) = 0.055131

P(X = Y) = 0.35607

From the information given:

X represent no of Canon SLR

The PMF is given as:

X   :    0         1        2           3        4

p(x) :  0.1       0.2   0.3     0.25   0.15

p = P(customers that purchase the camera & also purchase an extended warranty.

As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.

\(\frac{Y}{X}\) ~ Bin ( n= x , p =0.55) y

     = 0.1 ........ x and X = 0,1,2,3,4.

The condition probabilities Y given X is:

\(P (\frac{Y = 0}{X = 0} ) =1\)

\(P (\frac{Y = 0}{X = 1} ) = 0.45 and P (\frac{Y = 1}{X = 1} ) =0.55\)

\(P (\frac{Y = 0}{X = 2} ) = 0.2025 and P (\frac{Y = 1}{X = 2} ) =0.495, P (\frac{Y = 2}{X = 2} ) =0.3025\)

\(P (\frac{Y = 0}{X = 3} ) = 0.091125 and P (\frac{Y = 1}{X = 3} ) =0.334125, \\P (\frac{Y = 2}{X = 3} ) =0.408375 and P (\frac{Y = 3}{X = 3} ) = 0.166375\)

\(P (\frac{Y = 0}{X = 4} ) = 0.0.041006 and P (\frac{Y = 1}{X = 4} ) =0.0.200475, P (\frac{Y = 2}{X = 3} ) =0.367538\)

\(P (\frac{Y = 3}{X = 4} ) = 0.299475 and P (\frac{Y = 4}{X = 4} ) =0.091506\)

Now, the joint P.D (probability Dist.) of X & Y is expressed as:

\(P (\frac{Y = y}{X = x} ) = P (\frac{Y = y. X = x}{X = x} )\)

\(P( X = x , Y = y) = P(\frac{Y = y}{X =x} ) * P(X =x)\)

The Joint P.D is;

                      Y                                                                      Total

             0              1                    2             3          4

X     0     0.1            0                  0              0         0                  0.1

      1      0.09        0.11              0               0         0                 0.2

  2    0.06075  0.1485      0.09075          0         0                 0.3

  3    0.022781 0.083531 0.102094   0.041594  0                0.25

  4    0.006151  0.030071  0.055131  0.044921  0.013726    0.15

Total  0.279682 0.372103  0.247974  0.086515 0.013726       1

(a)

P(X=4,Y=2)

From the table above:

P(X=4,Y=2)

 = 0.055131

(b)

P(X= Y)

= (P = 0 , Y = 0) + P( X =1, Y =1) + P( X=2, Y=2) + P(X=3,Y=3) + P(X=4,Y=4)

= 0.1 + 0.11 + 0.09075 + 0.041594 + 0.013726

= 0.35607

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She did sell the newspapers for $.25 each at age 80. The equation is referred to as a linear equation in one variable if only one variable is present in the linear equation.

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The information provided in the issue is;

One newspaper will set you back $.25.

Other newspapers are $.40 each.

The 100 newspapers were purchased for $28.00.

x is the quantity of newspapers sold for $.25 each.

Y stands for the other newspaper's number.

The total of both newspapers is one hundred.

x+y=100

y=100-x

25x+ 40y=28.00

25x+40(100-x)=2800

25x+4000-40x=2800

-15x+4000=2800

-15x=-1200

x=80

She therefore sold 80 newspapers for $.25 each.

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Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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The equation of the line that passes through points (5, -3) and (-3, -3) is y = -3

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

Equation of straight line is y = mx + c

where m = slope and c = y-intercept

at x = 5, y = -3 so that

-3 = 5m+ c-------------1

at x = -3, y = -3

-3 = -3m + c-------------2

subtract equation 2 from equation 1

0 = 8m

m = 0

substitute m = 0 in equation 1

-3 = 5(0) + c

c = -3

so that equation of line is y = -3

In conclusion the equation of line is y = -3

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Answer:

£330

Step-by-step explanation:

The total ratio between Paul and Malachy is 2 + 3 = 5.

The amount that Paul will receive is:

2/5 * 2750 = £1100

The second ratio is between Paul, his wife and their son in the ratio 5:4:1. The total ratio between Paul, his wife and their son is:

5 + 4 + 1 = 10

The amount that Paul's wife will receive is:

4/10 * 1100 = £440

The amount that their son will receive is:

1/10 * 1100 = £110

Therefore, the amount that the wife will receive over the son is:

440 - 110 = £330

Step-by-step explanation:

Kx = u - y

Divide both sides by k

X = u - y

K

I think that's the answer

Hope it helps:)

Answer:

Step-by-step explanation:

a.v = 10 * 5 * 7 = 350cm^3

b.because 1m^3=1000dm^3=1000000cm^3

so 1cm^3=0.000001m3

350cm^3=0.00035m^3

Answer:

19/3 (6 1/3)

Step-by-step explanation:

Hey there! I'm happy to help!

Let's write this equation out.

2/3+1/3x=2x

We want to get all of the variables on the left side and all the numbers on the right side so we can see what number x is equal to. First, Let's subtract 2/x from both sides.

2/3+1/3x-2x=0

We subtract 2/3 from both sides.

1/3x-2x=-2/3

We combine our x values.

-5/3x=-2/3

We divide both sides by -5/3.

x=-5

Have a wonderful day and keep on learning! :D

The solution of the system of equation by converting them into matrix is equal to ( x  y ) = ( -3  2/19 ).

Convert the system of equations to a matrix equation,

( -3  5  2  3 ) (x y ) = ( 5  0 )

To solve for ( x y ) multiply both sides by the inverse of the coefficient matrix by ( -3  5  2  3 ),

find the inverse,

( a  b c d )^(-1) = ( 1/ ad -bc ) (d  -b  -c  a )

where ad - bc is the determinant of the matrix.

In this case, the determinant is,

(-3)(3) - (5)(2)

= -19

so the inverse is,

( -3 5 2 3 )^(-1)

= (1 /-19)( 3  -5  -2  -3 )

= ( -3/19  5/19  2/19  3/19  )

Multiplying both the sides of the matrix equation by the inverse we get,

(x y ) = ( -3/19  5/19  2/19  3/19  )(5  0)

⇒( x  y ) = ( -3  2/19 )

Therefore , the solution of the system of equation using matrix is equal to  ( x y ) = ( -3  2/19 ).

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Answer:

Definition of right angel

Step-by-step explanation:

right angels is 90

Answer:

A. 2x - (4x + 3) = 12

Step-by-step explanation:

A. 2x - (4x + 3) = 12

B. -4(4y+)+y=3

C. 2 (4x+3) - y

D. -4x+4 x-3=3

Given equation:

-4x+y = 3. (1)

2x - y = 12. (2)

From (1)

y = 3 + 4x

Substitute y = 3 + 4x into (2)

2x - y = 12 (2)

2x - (3 + 4x) = 12

Or

2x - (4x + 3) = 12

2x - 4x - 3 = 12

- 2x = 12 + 3

- 2x = 15

x = 15/-2

x = -7.5

Substitute x = -7.5 into (1)

-4x+y = 3 (1)

-4(-7.5) + y = 3

30 + y = 3

y = 3 - 30

y = -27

Answer:

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

Go to Khan Academy for more.

Step-by-step explanation:

Answer:

The way in which factors are grouped in a multiplication problem, does not change the product.

Step-by-step explanation:

my brain ;p

Dana's brother wore sneakers for 35 days out of the 49 days observed by Dana.

If the ratio of the number of days her brother wore sneakers to school to the number of days he wore loafers to school was 5 to 2, we can assume that he wore sneakers for 5x days and loafers for 2x days, for some positive integer x.

We know that the total number of days observed by Dana is 49, so we can set up the following equation to solve for x:

5x + 2x = 49

Simplifying the left side of the equation, we get:

7x = 49

Dividing both sides by 7, we get:

x = 7

Therefore, her brother wore sneakers for 5x = 5(7) = 35 days out of the 49 days observed by Dana.

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