What is 8 weeks 4days + 10 weeks 6 days?

Answers

Answer 1

Answer:

19 weeks and 3 days.

Step-by-step explanation:

8+10=18

4+6=10

18 weeks and 10 days is equal to 19 weeks and 3 days.


Related Questions

Which of the following is true? Forecast errors cannot be negative. Forecast errors are negative when the forecasted rate exceeds the realized rate. Absolute forecast errors are negative when the forecasted rate exceeds the realized rate. None of the above

Answers

Answer: None of the above.

Step-by-step explanation:

Forecast error is the difference which occurs between the actual observation and a given one over a period of time.

Forecast errors can sometimes be negative, this is due or caused by the difference which arises from the actual and given figures. Forecasting errors help to improve forecasting feedbacks which helps drive better results.

To prepare for a marathon run Sue ran 16 miles before she blistered her heel, and she walked 1 additional mile. Her running speed was 16 times as fast as her walking speed. She was running and walking for 4 hours. FIND Sues running speed.

Answers

Answer:

  8 miles per hour

Step-by-step explanation:

Let s represent Sue's running speed in miles per hour. Then her total exercise time was ...

  time = distance/speed

  4 = (16/s) + (1/(s/16)) . . . . . using distance in miles and time in hours

  4 = 16/s +16/s = 32/s . . . . simplify

  s = 32/4 = 8 . . . . . . . . . . . multiply by s/4

Sue's running speed was 8 miles per hour.

You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages. You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.x1 = Runs Score/Times at Batx2 = Doubles/Times at Batx3 = Triples/Times at Batx4 = Home Runs/Times at Batx5= Strike Outs/Times at BatEstimate the Batting Average when Run Score = 0.123, Doubles = 0.040, Triples = 0.0045 , Home Runs = 0.009 and Strike Outs = 0.189DATA:Batting Average RS/Times at Bat Doubles/Times at Bat Triples/times at bat HR/Times at Bat SO/Times at Bat0.283 0.144 0.049 0.012 0.013 0.0860.276 0.125 0.039 0.013 0.002 0.0620.281 0.141 0.045 0.021 0.013 0.0740.328 0.189 0.043 0.001 0.03 0.0320.29 0.161 0.044 0.011 0.07 0.0760.296 0.186 0.047 0.018 0.05 0.0070.248 0.106 0.036 0.008 0.012 0.0950.228 0.117 0.03 0.006 0.003 0.1450.305 0.174 0.05 0.008 0.061 0.1120.254 0.094 0.041 0.005 0.014 0.1240.269 0.147 0.047 0.012 0.009 0.1110.3 0.141 0.058 0.01 0.011 0.070.307 0.135 0.041 0.009 0.005 0.0650.214 0.1 0.037 0.003 0.004 0.1380.329 0.189 0.058 0.014 0.011 0.0320.31 0.149 0.05 0.012 0.05 0.060.252 0.119 0.04 0.008 0.049 0.2330.308 0.158 0.038 0.013 0.003 0.0680.342 0.259 0.06 0.016 0.085 0.1580.358 0.193 0.066 0.021 0.037 0.0830.34 0.155 0.051 0.02 0.012 0.040.304 0.197 0.052 0.008 0.054 0.0950.248 0.133 0.037 0.003 0.043 0.1350.367 0.196 0.063 0.026 0.01 0.0310.325 0.206 0.054 0.027 0.01 0.0480.244 0.11 0.025 0.006 0 0.0610.245 0.096 0.044 0.003 0.022 0.1510.318 0.193 0.063 0.02 0.037 0.0810.207 0.154 0.045 0.008 0 0.2520.32 0.204 0.053 0.017 0.013 0.070.243 0.141 0.041 0.007 0.051 0.2640.317 0.209 0.057 0.03 0.017 0.0580.199 0.1 0.029 0.007 0.011 0.1880.294 0.158 0.034 0.019 0.005 0.0140.221 0.087 0.038 0.006 0.015 0.1420.301 0.163 0.068 0.016 0.022 0.0920.298 0.207 0.042 0.009 0.066 0.2110.304 0.197 0.052 0.008 0.054 0.0950.297 0.16 0.049 0.007 0.038 0.1010.188 0.064 0.044 0.007 0.002 0.2050.214 0.1 0.037 0.003 0.004 0.1380.218 0.082 0.061 0.002 0.012 0.1470.284 0.131 0.049 0.012 0.021 0.130.27 0.17 0.026 0.011 0.002 00.277 0.15 0.053 0.005 0.039 0.115Possible Answers:A. 0.223B. 0.057C. 0.043D. 0.229

Answers

Answer:

The estimated value of the Batting Average is 0.229.

Step-by-step explanation:

In this case regression analysis is to performed to determine if there is a significant linear relationship for Batting Averages with Runs Score, Doubles, Triples, Home Runs and Strike Outs.

The independent and dependent variables are as follows:

y = Batting Averages

x₁ = Runs Score/Times at Bat

x₂ = Doubles/Times at Bat

x₃ = Triples/Times at Bat

x₄ = Home Runs/Times at Bat

x₅= Strike Outs/Times at Bat

The regression analysis can be performed in Excel.

Consider the regression output attached.

The regression equation is as follows:

[tex]y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}[/tex]

Now estimate the Batting Average when Run Score (x₁) = 0.123, Doubles ( x₂) = 0.040, Triples (x₃) = 0.0045 ,  Home Runs ( x₄) = 0.009 and Strike Outs (x₅) = 0.189 as follows:

[tex]y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}[/tex]

   [tex]=0.183+(0.447\cdot 0.123)+(0.991\cdot 0.040)+(0.622\cdot 0.0045)\\+(0.274\cdot 0.009)-(0.285\cdot 0.189)\\\\=0.229021\\\\\approx 0.229[/tex]

Thus, the estimated value of the Batting Average is 0.229.

what is the gfc of 16 and 8​

Answers

Answer:

Greatest common factor of 16 and 8 is 8 .....

One of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 gallons of fuel in this tank to leave the atmosphere. What percentage of the fuel capacity does the shuttle still have?

Answers

Answer:

15%

Step-by-step explanation:

The tank's capacity is 200,000 gallons.

170,000 gallons were used.

200,000 - 170,000 = 30,000

30,000 gallons of fuel are still there.

percent = part/total * 100%

percent = 30,000/200,000 * 100% = 15%

CAN SOMEONE HELP ME ASAP







A. 5
B. 53‾√53
C. 10
D. 103√3

Answers

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 30 = n/ 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

Three students are working to find the solution set of this system of equations:
3y = 6x + 6
y = 2x + 2
Use the drop-down menus to complete the statements about each of their methods.


Pedro Dropdown 1: Intersect, Do not Intersect, Are the same line.

Pedro Dropdown 2: One, Zero, Infinitely many

Amy Dropdown: is, is not

Matt Dropdown 1: Sometimes, Never, Always

Matt Dropdown 2: One, Zero, Infinitely Many

Answers

Answer:

Pedro Dropdown 1: they Do not Intersect, they Are the same line

Step-by-step explanation:

3y = 6x + 6

y = 2x + 2

3y-6x = 6... Equation one

y-2x = 2... Equation two

Dividing equation one by 3 gives

Y -2x = 2. Which is same thing with equation 2

So I think the two are same line and do not intersect.

Answer:

Pedro: are the same line, infinitely many

Amy: is

Matt: always, infinitely many

Step-by-step explanation:

PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.

AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.

MATT:  When the equation 3y = 6x + 6  is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.

Ron is weighs 140 kg, and the doctor said that he must to start losing weight. How long will it take for Ron to get to 105 kg if he loses 500g per week?

Answers

Answer:

70 weeks

Step-by-step explanation:

500g = .5kg

140 - .5w = 105

35 = .5w

70 = w

Translate the following statements into symbolic form using capital letters to representaffirmative English statement.
If Maria Cantwell promotes alternative energy,then if Patty Murray supports wilderness areas, then Dianne Feinstein's advocating gun control implies that Susan Collins does so,too.

Answers

Answer:

Step-by-step explanation:

There are two distinct statements but put together, it is:

- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.

For Susan Collins, she advocates gun control too.

So the symbolic or algebraic representation is:

(SC = DF): (MC ~ AE), (PM ~ WA)

OR

(GC = GC): (MC ~ AE), (PM ~ WA)

Where ":" represents "such that" or "given that"

" ~ " represents "support or promotion of"

It can now be read thus;

Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.

Answers

Answer:

Step-by-step explanation:

The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as

Perimeter = 1/2 × 2πr = πr

Since radius, r = 3, then

Perimeter of semi circle = 3 × 3.14 = 9.42 inches

Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches

Area of semi circle = 1/2 × πr²

Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²

Area of triangle = 1/2 × base × height

Area of triangle = 1/2 × 6 × 4 = 12 inches²

Area of composite shape = 14.13 + 12 = 26.13 inches²

The perimeter and area of the composite shape is:

B. Perimeter = 19.42 inches; Area = 26.13 square inches

Recall:

Area of a circle = πr²

Perimeter of circle = 2πr

Area of triangle = 1/2(bh)

The composite shape given is composed of a triangle and a semicircle.

Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle

Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches

Area of the composite shape = area of semicircle + area of triangle

Area = 1/2(3.14 × 3²) + 1/2(6 × 4)

Are = 14.13 + 12

Area of the composite shape = 26.13 square inches.

Therefore, the perimeter and area of the composite shape is:

B. Perimeter = 19.42 inches; Area = 26.13 square inches

Learn more about area and perimeter of composite shapes on:

https://brainly.com/question/6317134

What’s the difference between the polynomials ?

Answers

Answer:

7x^2-4x+3y^2      ( the ^ means the exponent EX: 5^2 is 5 squared. )

Step-by-step explanation:

Remove the parenthesis (a) = a

12x^2-11y^2-13x- (5x^2-14y^2-9x)

-(5x^2 - 14y^2 - 9x)

Distribute parenthesis

-(5x^2) - (14y^2) - (-9x)

Apply minus - plus rules

-5x^2 + 14y^2 + 9x

= 12x^2 - 11y^2 - 13x - 5x^2 + 14y^2 + 9x

Simplify

12x^2-11y^2-13x-5x^2+14y^2+9x

Group like terms

12x^2-5x^2-13x+9x-11y^2+14y^2

Add similar elements

7x^2-13x+9x-11y^2+14y^2

Add similar elements ( - 13x + 9x = -4x )

7x^2-4x-11y^2+14y^2

Add similar elements 11y^2 + 14y^2 = 3y^2

7x^2-4x+3y^2

If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes.

Answers

Answer:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

Step-by-step explanation:

The sample space is the set of all possible outcomes in the experiment of rolling a six-sided die and then drawing a playing card and checking its color.

There are 6 possible outcomes for the die roll and two for the color of the card, which yields a total of 12 possible outcomes. The sample space is:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

The Test Scores for a Statistics course are given in the Excel below.

The data (X1, X2, X3, X4) are for each student.
X1 = score on exam #1
X2 = score on exam #2
X3 = score on exam #3
X4 = score on final exam

Your professor wants to know if all tests are created equal.

What is the F-Stat?

EXAM1 EXAM2 EXAM3 FINAL
73 80 75 65.86667
93 88 93 80.16667
89 91 90 78
96 98 100 84.93333
73 66 70 61.53333
53 46 55 43.76667
69 74 77 64.56667
47 56 60 49.83333
87 79 90 75.83333
79 70 88 71.06667
69 70 73 61.1
70 65 74 61.1
93 95 91 79.73333
79 80 73 65.86667
70 73 78 64.13333
93 89 96 83.2
78 75 68 63.7
81 90 93 79.3
88 92 86 76.7
78 83 77 68.9
82 86 90 76.7
86 82 89 75.83333
78 83 85 75.83333
76 83 71 64.56667
96 93 95 83.2

A.
4.521

B.
5.532

C.
3.331

D.
4.87
2

Answers

Answer:

4.521 ( A )

Step-by-step explanation:

The determine the F-STAT employ the use of one way anova in excel to solve the problem. the way to solve  this using one way anova by excel  is

enter the data given in excel after entering the Data , click on Data analysis, click One way anova, Select data,click on label in first row, then click ok

Attached is the image of the excel solution

Simplify: 1. 4x−(1−2x)+(2x−7) 2. (3−0.4a)−(10−0.8a)

Answers

Answer:1.8(x -1)

2.0.4a -7

Step-by-step explanation:

Which is true about all quadratic equations that contain a difference of squares? Only the value of c is a perfect square. Only the value of a is a perfect square. The value b=0. The value |b|=2[tex]\sqrt{a} \sqrt{c}[/tex]

Answers

Answer:

b = 0

Step-by-step explanation:

The standard form of a regular quadratic equation is ax² + bx + c and the standard form of the difference of squares is ax² - c. This means that b = 0 because there is no x term.

How much would 25 acres cost selling it 1500 per acre?

Answers

Answer:

Step-by-step explanation:

$37,500

1500 times 25.

Draw an array to find 21÷3

Answers

Answer:

21÷3 =9

3×9=21

Therefore the answer is 9 .

Step-by-step explanation:

Hope it works out!

I can't figure this question out I've tried multiple times but only 2/3. Help, please.

Answers

Answer:

yes it is 2/3

Step-by-step explanation:

the nutrition facts label from a 12 oz can of soft drink is shown below. Note that a serving of the soft drink is defined as 8 oz, so this can contains 1.5 servings of the drink. The nutritional information relates to the amounts per serving, not the amounts in the can.

Answers

The correct answer is C. 65

Explanation:

The serving size of the soft drink is 8oz, besides this, the amount of sugar for this serving size according to the label is 26 grames. Now, to calculate the amount of sugar in 20oz, one of the simplest methods is to use a rule of three, because three values are known, and one is missing. The process is shown below:

1. Write the known values and use x to represent the unknown values

8 oz  =  26 grames of sugar      

20 oz  =  x

2. Use cross multiplication (this means multiply 8 x 6) and divide it into the remaining value

[tex]x = \frac{26 x 20}{ 8}[/tex]   or  x = 26 x 20 / 8

3. Solve the equation

[tex]x =\frac{520}{8}[/tex]      or x = 520 / 8

[tex]x = 65[/tex]

Answer:65

Step-by-step explanation:

Bi-Ready
Sofia
The area of a rectangle is square foot. The width of the rectangle is 2 feet. What is the length
the rectangle?

Answers

Answer:

The length of the rectangle is [tex]\dfrac{ 1}{3} \text{ feet}[/tex] .

Step-by-step explanation:

The complete question is: The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?

Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.

As we know that the area of the rectangle is given by;

  Area of rectangle =  Length of rectangle [tex]\times[/tex] Width of rectangle

                                   Or

                       A  =  L [tex]\times[/tex] W

Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.

SO,        [tex]\frac{7}{9} = \text{L} \times 2\frac{1}{3}[/tex]

             [tex]\frac{7}{9} = \text{L} \times \frac{7}{3}[/tex]

              [tex]\text{L} = \frac{7\times 3}{9\times 7}[/tex]

              [tex]\text{L} = \frac{ 1}{3} \text{ feet}[/tex]

Hence, the length of the rectangle is [tex]\frac{ 1}{3} \text{ feet}[/tex] .

Find the measure of the indicated angle to the nearest degree please. Thanks.

Answers

Answer:

? = 35°

Step-by-step explanation:

Let the angle be x

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

7 is the hypotenuse

4 is the opposite

sin x = 4/7

x = sin-¹ 4/7

x = 34.85

x = 35° to the nearest degree

Hope this helps you

y = 2x^4 convert to polar form

Answers

Answer:

The  polar form  is  sinθ  = 2 r³cos⁴θ

Step-by-step explanation:

Explanation:-

Given function y = 2 x⁴

Parametric Form  x = r cosθ ....(i)

                     and y = r sinθ ....(ii)

            squaring  x² = r² cos ²θ

                            y² = r² sin²θ

         adding   x² +  y² = r² cos ²θ+r² s in²θ

                                    =  r²( cos ²θ+s in²θ)

                                   =  r²( 1)

                     x² +  y² =    r²

Given function y = 2 x⁴

Now convert into polar form

                        r sinθ  = 2 (r cos θ )⁴

                         r sinθ  = 2 (r )⁴cos θ )⁴

                           sinθ  = 2 r ³cos⁴θ

A ship traveled at an average rate of 25 miles per hour going west. It then traveled at an average rate of 19 miles per hour heading north. If the ship traveled a total of 145 miles in 7 hours, how many miles were traveled heading west?

Answers

Answer:  19.5 miles or 108.75 miles

Step-by-step explanation:

Let ship traveled to the west x hours and then to the north y hours. Total 7 hours.  So we can write 1st equation

x+y=7                                                          (1)

The ship traveled to the west x hours with speed 25 miles/h - the distance 25*x

The ship traveled to the north y hours with speed 19 miles/hour - the distance   19*y

Note that the angle between north and west directions is 90 degrees.

So if the initial traveling point is A, the final travelling point ic C and the point ,  where ther the ship has changed the travelling direction from West to North is B.

So we have the right triangle ABC, where B angle is right=90 degrees.

AB side=25*x,  BC side= 19*y and AC side 145 miles.

According to Pithagor theorem we can write

AC^2=AB^2+BC^2

21025=625*x^2+ 361*y^2                       (2)

Solve the system of equations (1) and (2)

y=7-x

625*x^2+361*(7-x)^2=21025

625*x^2+361*(49-14x+x^2)=21025

625*x^2+17689-5054*x+361*x^2=21025

986*x^2- 5054*x-3336=0   dividing on 2 we'll get

493*x^2-2527*x-1668=0

D=3096433 sqrt(D)=appr 1760

x1=(2527-1760)/493/2= appr  0.78 h  

x2=(2527+1760)/493/2=appr 4.35 h  

So the problem has 2 solutions :

heading west the ship traveled  or 0.78*25= 19.5 miles

Or 4.35*25= 108.75 miles

Answer:

let w = time heading west at 25 mph

the total time is 7 hrs, therefore

(7-w) = time heading north at 19 mph

Distance = speed * time

25w + 19(7-w) = 145

25w + 133 - 19w = 145

25w - 19w = 145 - 133

6w = 12

w = 12/6

w = 2 hrs traveling west

therefore

2 * 25 = mile going west

Confirm this solution, 7 - 2 = 5 hrs going north

19 * 5 = 95mi

25 * 2 = 50mi

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

total dist 145 mi

Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1). Question 2 options: A) (ƒ ∘ g)(–1) = 6 B) (ƒ ∘ g)(–1) = –4 C) (ƒ ∘ g)(–1) = 4 D) (ƒ ∘ g)(–1) = –6

Answers

Answer:

answer B

Step-by-step explanation:

hello,

[tex]f(x)=x+1\\g(x)=5x \ \ so\\(fog)(-1)=f(g(-1))=f(-5)=-5+1=-4[/tex]

so the winner is the answer B

hope this helps

Answer:

D)  

(ƒ ∘ g)(–1) = –4

Step-by-step explanation:

Rewrite the following statement in the form ∀x ______, if _______ then _______ (where each of the second two blanks are sentences involving the variable x) Every valid argument with true premises has a true conclusion.

Answers

Answer:

"Vx: if x is a valid argument with true premises then x has a true conclusion"

In a symbol form

Vx ( P(x) ⇒ 2(x) )

Step-by-step explanation:

The Following statement in the form  âˆ€x ______, if _______ then _______ is a valid argument and this because any valid argument with "true premises" has a "true conclusion" as well

we will rewrite this statement in a universal condition statement form

assume x is a valid argument with true premises

then the following holds true

p(x) : x is a valid argument with true premises

q(x) : x has true conclusion

applying universal conditional statement

"Vx, if x is a valid argument with true premises then x has a true conclusion"

In a symbol form

Vx ( P(x) ⇒ 2(x) )

can someone answer this

Answers

Answer:

Step-by-step explanation:

axis: x= 2

vertex: (2,3)

Uytteday.com, student/dashboard/home
Probability Models - Tutorial - Level G
If we want to know if my shuffler is playing an equal
number of slow jams, dance music, and jazz songs,
what do we need to collect data on exactly?​

Answers

Answer:

Ima need the answer too

Step-by-step explanation:

Answer:

the genre

Step-by-step explanation:

Please answer this correctly

Answers

The correct answer is 5.5988 x [tex]10^{-3}[/tex] = 0.0055988

Explanation:

In mathematics and related areas, it is common the expression [tex]10^{n}[/tex] (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.

Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x [tex]10^{3}[/tex] is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x [tex]10^{-3}[/tex] indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)

PLEASE HELP! Two complementary angles measure (12x - 18) and (5x +23). What is the measure of the smaller angle? (1) 5 (2) 42 (3) 48 (4) 90

Answers

Answer:

5

Step-by-step explanation:

firstly, what are complementry angles.complementary angles are angles that su

m up to 90°

(12x-18)+(5x+23)=90

collecting like terms

12x+5x+23-18=90

17x-5-90=0

17x-95=0

17x=95

divide through by 17

x=5

The measure of the smaller angle when complementary angles are given is 42 degree.

Complementary AnglesWhat are complementary angles?

Complementary angles are two angles whose total is 90 degrees in geometry. In other terms, complimentary angles are two angles whose sum is 90 degrees. 60° and 30°, for instance.

Calculation for the value of x in the given angles:

The first angle of the triangle is (12x - 18).

The measure of the second angle of the triangle is (5x + 23).

As both angles are complementary, their sum would be equal to 90 degree.

(12x - 18) + (5x + 23) = 90

12x -  18 + 5x + 23 = 90

17x = 85

x = 5

Calculation for the angles.

Substitute the value of x = 5 in the given angles.

(1) 12x - 18 = 12×5 - 18

    = 42 degrees

(2) 5x + 23 = 5×5 +23

    = 48 degrees

Therefore, the smaller angle is found to be 42 degrees.  

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The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?

Answers

Answer:

1/3 feet.

Step-by-step explanation:

The length = area / width

= 7/9 / 2 1/3

= 7/9 / 7/3

= 7/9 * 3/7

= 3/9

= 1/3 feet,

Convert 2 1/3 into an improper fraction

Now divide 7/9 with 7/3

Answer: 1/3

Check: 1/3*7/3=7/9
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