Please help me!!! Will give brainliest and 12 points! Topic is Pythagorean identity find values

Please Help Me!!! Will Give Brainliest And 12 Points! Topic Is Pythagorean Identity Find Values

Answers

Answer 1

Answer:

cos θ = -(√3)/2

tan θ = -1/√3

Step-by-step explanation:

[tex]\frac{\pi }{2} <\theta <\pi \ \ \ sin \ \theta = \frac{1}{2} \\[/tex]

Part A: find cos θ:

Using Pythagorean identity

sin²θ + cos²θ = 1

cos²θ = 1 - sin²θ = 1 - (1/2)² = 1 - 1/4 = 3/4

cos θ = ±√(3/4) = ±(√3)/2

∵(π/2) < θ < π  ⇒ ∴ cos θ = -(√3)/2

Part B: find tan θ:

sec θ = 1/(cos θ) = -2/√3

Using Pythagorean identity

tan²θ + 1 = sec²θ

tan²θ = sec²θ - 1 = 4/3 - 1 = 1/3

tan θ = ±√(1/3) = ± 1/√3

∵(π/2) < θ < π  ⇒ ∴ tan θ = -1/√3


Related Questions

the product of 12 and k is 84

Answers

Answer:

12 times k equals 84

Hope this helps

-Amelia

What is the slope in the equation y= 3x +7

Answers

Answer:

3

Step-by-step explanation:

y=3x+7

y=mx+b where m=slope and b=y-intercept

240 beach chairs are on sale 85% of the chairs are sold how many are left?

Answers

36 chairs are left

Solution:

Given that, 240 beach chairs are on sale

85% of the chairs are sold

To find: remaining chairs

Total number of chairs = 240

Number of chairs sold = 85 % of total chairs

Number of chairs sold = 85 % of 240

[tex]\rightarrow 85 \% \text{ of } 240\\\\\rightarrow \frac{85}{100} \times 240\\\\\rightarrow 204[/tex]

Thus 204 chairs are sold

Remaining chiars = total chairs - sold chairs

Remaining chairs = 240 - 204 = 36

Thus 36 chairs are left

36 chairs are left

the store sold 204 chairs

George had 1 sheet of paper. He cuts it into 6 inches by 5 inches, and 3 inches by 6 inches. What were the dimension dimensions and total area of his original sheet of paper? Explain.

Answers

Answer:

The dimensions of the original sheet of paper are 8 inches by 6 inches.

The total area of the sheet of paper = 8 inches [tex]\times[/tex] 6 inches  = 48 [tex]inches^{2}[/tex]

Step-by-step explanation:

i) the two parts of the sheet of paper are 6 inches by 5 inches and 3 inches by   6 inches.

ii) therefore we see that the both parts have a 6 inch side.

iii) therefore we can say that the width of the sheet of paper is = 6 inches

iv) therefore we can also say that the length of the sheet of paper =  3  +  5 inches  = 8 inches.

v) therefore the dimensions of the original sheet of paper are 8 inches by 6 inches.

vi) therefore the total area of the sheet of paper = 8 inches [tex]\times[/tex] 6 inches

                                                                          = 48 [tex]inches^{2}[/tex]

yes or no? please help! :(

Answers

Answer:

Yes it can.

Step-by-step explanation:

We plot the data given on the graph and see whether there is any correlation.

The data is graphed in the figure attached. Looking at the graph we see that the points do seem to lie on a straight line which I have drawn as a dashed line.  

The dashed line represents the function

[tex]f(x)=-2x+40[/tex]

The function tells us that as Khaled gives more homework to his students, less students complete their homework.

Write the fraction that has a 4 in the numerator and a 6 in the denominator

Answers

Answer:

4/6

Step-by-step explanation: numerator is the top number and denominator is the bottom number so in this case 4 is the numerator and 6 is the denominator.

Final answer:

The fraction with a numerator of 4 and a denominator of 6 is 4/6, which simplifies to 2/3.

Explanation:

To write a fraction with 4 as the numerator and 6 as the denominator, we simply place 4 above 6, resulting in the fraction 4/6. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which in this case is 2. Therefore, the simplified fraction is 2/3.

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if x ≥ 0, then x + lxl = ?

Answers

Step-by-step explanation:

[tex]|a|=\left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a<0\end{array}\right\\\\x\geq0,\ \text{then}\ |x|=x\\\\x+|x|=x+x=2x\geq0[/tex]











carla needs to purchase carpet for her living room what is the area of carla's living room.

Answers

Answer:

92 ft squared

Step-by-step explanation:

6*7=42

5*10=50

42+50=92 ft squared

Answer:

120

Step-by-step explanation:

hope this helps :) have a good day

A general term used to refer to the buying and selling of homes is
O
A. real estate
O
B. the trade market
O c. the housing market
O D. MLS

Answers

A general term used to refer to buying and selling of homes is the house market.

Final answer:

The term 'real estate' is generally used to describe the buying and selling of homes, covering both new home construction, which impacts real GDP, and the resale of existing homes, which is a significant component of the housing market.

Explanation:

The general term commonly used to refer to the buying and selling of homes is real estate. This term encompasses the market for new homes, which are part of real gross domestic product (real GDP), as well as the resale of existing homes. While the buying and selling of existing homes is not counted in real GDP, it is a significant part of the housing market. Real estate can be influenced by factors such as supply and demand, economic conditions, and demographics. The American Association of Realtors suggests that when there is a six months' supply of houses, the market is considered to be in equilibrium, which can help determine whether housing prices are likely to rise or fall.

Eric Schneider's bank statement shows a previous balance of $974.95. He made deposits of $246.00 and
$98.48. He wrote checks for $721.00 and $35.35. He has a $3.00 service charge and earned $0.75 in interest.
What is his present balance?
a. $506.83
c. $560.08
b. $486.08
d. $560.83

Answers

Answer:

D

Step-by-step explanation:

$974.95 + $246.00 + $98.48 - $721.00 - $35.35 - $3.00 + $0.75 = $560.83

Final answer:

Eric Schneider's present balance is calculated by adding his previous balance and deposits, subtracting the checks written and service fees, and then adding any interest earned. The result is $560.83.

Explanation:

In order to find Eric Schneider's present bank balance, we need to add the money he deposited to his previous balance, subtract any checks he wrote and service charges, and add any interest earned. So, to break this down:

Start with his previous balance of $974.95.Add the deposits: $974.95 + $246.00 + $98.48 = $1319.43Subtract checks written and service charge: $1319.43 - $721.00 - $35.35 - $3.00 = $560.08Add interest earned: $560.08 + $0.75 = $560.83

So, Eric Schneider's new balance is $560.83 (option d).

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A grocery store bought milk for $2.80 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 12 half gallons. If the remaining milk is sold for $4.00 per half gallon, how many half gallons did the store buy if they made a profit of $60.00?

Answers

Final answer:

The store bought 90 half gallons of milk.

Explanation:

To find the number of half gallons of milk the store bought, we can set up an equation using the given information.

Let x be the total number of half gallons of milk bought by the store.

The store bought each half gallon of milk for $2.80, so the total cost of x half gallons of milk is 2.80x dollars.

After the refrigerator malfunction, 12 half gallons of milk were ruined. So the remaining milk is x - 12 half gallons.

The remaining milk is sold for $4.00 per half gallon, so the total revenue from selling the remaining milk is 4(x - 12) dollars.

The profit made by the store is given as $60.00, so the equation becomes:

4(x - 12) - 2.80x = 60

Simplifying the equation: 4x - 48 - 2.80x = 60

Combining like terms: 1.20x - 48 = 60

Adding 48 to both sides: 1.20x = 108

Dividing both sides by 1.20: x = 90

Therefore, the store bought 90 half gallons of milk.

An animal shelter spends $4.50 per day to care for each cat and $8.00 per day to care for each dog. Savannah noticed that the shelter spent $123.00 caring for cats and dogs on Tuesday. Savannah found a record showing that there were a total of 25 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday​

Answers

Answer: There were 22 cats and 3 dogs at the shelter on Tuesday.

Step-by-step explanation:

Let be "c" the number of cats at the shelter on Tuesday and  "d" the  number of dogs at the shelter on Tuesday.

Set up a System of equations:

[tex]\left \{ {{c+d=25} \atop {4.5c+8d=123}} \right.[/tex]

You can use the Elimination Method to solve the System of equations.

The steps are:

1. Multiply the first equation by -8.

2. Add the equations.

3. Solve for the variable "c".

Then:

[tex]\left \{ {{-8c-8d=-200} \atop {4.5c+8d=123}} \right.\\....................\\-3.5c=-23\\\\c=22[/tex]

4. Substitute the value of "c" into the first original equation.

5. Solve for the variable "d" in order to find its value.

Then, you get:

[tex]22+d=25\\\\d=25-22\\\\d=3[/tex]

A patient is prescribed 450 mg of penicillin to be taken. The pharmacy has supply the solution that contains 750 mg of penicillin per 5.0 mL solutions how many milliliters of the solution should be given to the patient for each dose

Answers

Answer:

The pharmacy should give 3.0 mL solution to the patient

Step-by-step explanation:

Given,

750 mg of penicillin in 5 mL solutions

Hence, amount of penicillin in 1 mL of solution= [tex]\frac{750}{5}[/tex] = 150 mg/ mL

So, amount of solution for 450 mg of penicillin= [tex]\frac{450}{150}[/tex] = 3.0 mL

The total area, in square feet, of a rectangular stage that has been widened by x feet is represented by 1,900 + 76x. Use the distributive property to factor the expression. What does each factor in the equivalent expression tell you about the stage?

Answers

Answer:

The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.

Step-by-step explanation:

The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.

Now, factorizing the expression for the area we get,

A = 1900 + 76x

A = 76(25 + x)

Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)

$12 for 6 bagels; $9 for 24 bagels

Answers

Answer:

This is not a direct variation

Step-by-step explanation:

if 12 dollars for 6 bagels is true then each bagel is $2

if 9 dollars for 24 bagels then each bagel is $0.38

What is 3 feet less than the Legnth
three less than the length

Answers

Answer:

Therefore, 3 feet less than the Legnth is

[tex]Length - 3[/tex]  OR

[tex]L - 3[/tex]

Step-by-step explanation:

What is 3 feet less than the Legnth  ?

Solution:

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as,

' + ' Plus Sign

' - ' Minus Sign

' × ' Multiplication Sign

' ÷ ' Division Sign, etc.

Here let Length be the variable denoted as 'L'

So .3 feet less means Subtract 3,

'Than the Length' means from the Length,

Then the Expression will be

[tex]Length - 3[/tex]  OR

[tex]L - 3[/tex]

Therefore, 3 feet less than the Legnth is

[tex]Length - 3[/tex]  OR

[tex]L - 3[/tex]

estimate 15.89+5.557 by first rounding each number to the nearest tenth

Answers

round each number up or down ( 15.89 to 15.9 and 5.557 to 5.6) and the add. the rounded answer would be 21.5.

Answer: 21.5

Step-by-step explanation:

Rounding 15.89: Find the number in the tenth place  8  and look one place to the right for the rounding digit  9 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 . = 15.9

Rounding 5.557: Find the number in the tenth place  5  and look one place to the right for the rounding digit  5 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .  = 5.6

Sum up 15.9+5.6 and get 21.5

The average value of a certain type of automobile was 14,220 in 1993 and depreciated to 9,780 in 1997.
Let y be the average value of the automobile in the year x, where x=0 represents 1993. Write and graph a linear equation that models the value of the automobile in terms of the year x.

Answers

The linear equation that models the value of the automobile in terms of the year x is y = -1,110 x + 14,220

Step-by-step explanation:

The average value of a certain type of automobile was 14,220 in 1993 and depreciated to 9,780 in 1997

y be the average value of the automobile in the year xx = 0 represents 1993

We need to write and graph a linear equation that models the value of the automobile in terms of the year x

The form of the linear equation is y = mx + b, where b is the initial value (value y at x = 0), and m is the rate of change

∵ The average value the of automobile was 14,220 in 1993

∵ x = 0 represents 1993

∴ The point which represent the data is (0 , 14,220)

- b is the value of y at x = 0

∴ b = 14,220

∵ The average automobile was 9,780 in 1997

- To find x subtract 1993 from 1997

∵ 1997 - 1993 = 4

∴ x = 4

∴ The point which represent the data is (4 , 9,780)

∵ m = Δy/Δx

∴ [tex]m=\frac{9780-14220}{4-0}[/tex]

∴ m = -1,110

- Substitute the values of m and b in the form of the equation

∴ y = -1,110 x + 14,220

The linear equation that models the value of the automobile in terms of the year x is y = -1,110 x + 14,220

The graph is attached below

Each square unit represents 1000 in the graph

Learn more:

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A linear function is a function that changes at a constant rate.

The equation of the linear function is [tex]y = -1110x + 14220[/tex]

The given parameters are:

x = 0, y = 14220 ---- in 1993x = 4, y = 9780 ---- in 1997

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives

[tex]m = \frac{9780 - 14220}{4- 0}[/tex]

Simplify

[tex]m = \frac{-4440}{4}[/tex]

This gives

[tex]m = -1110[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

This gives

[tex]y = -1110(x -0) + 14220[/tex]

Expand

[tex]y = -1110x + 14220[/tex]

Hence, the equation of the linear relationship is [tex]y = -1110x + 14220[/tex]

See attachment for the graph

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How do you find 4t-4=48

Answers

11

Step-by-step explanation:

subtract 4 from 48 which gives you 44

then divide 4 by 44 to leave t alone

that would give you 11

t equals 11

Find the simultaneous solution of the following pairs of equations using an algebraic method: x=1+2y 2x+y=17. Please also give an explanation why.

Answers

The solution is x = 7 and y= 3

Solution:

Given pairs of equation are:

x = 1 + 2y ------- eqn 1

2x + y = 17 ------- eqn 2

We have to use algebraic method

Algebraic method involves substitution and elimination method

Let us use the substitution method

From equation 1, we can see that x is equal to 1 + 2y. If we substitute this for y in equation 2, we have:

2(1 + 2y) + y = 17

Solve for brackets

2 + 4y + y = 17

Combine the like terms which has same variable

2 + 5y = 17

5y = 17 - 2

5y = 15

Divide both sides of equation by 5

y = 3

So the value of y is 3. This value of y can be substituted into either equation 1 or 2 to find the value of x

Substitute y = 3 in eqn 1

x = 1 + 2(3)

x = 1 + 6

x = 7

So the solution is x = 7 and y = 3

Use long division to find the quotient below.
(2x² – 5x - 3) = (x-3)
O A. x+1
O B. 2x-1
O C. 2x+1
O D. x-1

Answers

Answer:

c 2x+1

Step-by-step explanation:

What translation was used on ABCD to produce A'B'C'D'?


(x, y)→(x + 4, y + 3)


(x, y)→(x - 4, y + 3)


(x, y)→(x + 4, y - 3)


(x, y)→(x - 3, y + 4)

Answers

Answer:

B. [tex](x,y)\rightarrow (x-4,y+3)[/tex]

Step-by-step explanation:

To get from point A to point A', you need to move 4 unite to the left and 3 units up.

To get from point B to point B', you need to move 4 unite to the left and 3 units up.

To get from point C to point C', you need to move 4 unite to the left and 3 units up.

To get from point D to point D', you need to move 4 unite to the left and 3 units up.

Hence, the translation rule is

[tex](x,y)\rightarrow (x-4,y+3)[/tex]

4/6 times what equals 1/6

Answers

Answer:

Although our example says the correct answer is 2/3 x 1/2, remember, with multiplying ... If we divide both 525 and 700 by 175, we can see that 525/700 is equal to 3/4.

Step-by-step explanation:

Final answer:

To solve '4/6 times what equals 1/6', you need to find the reciprocal of 4/6 and multiply it by 1/6. The reciprocal of 4/6 is 6/4, and when you multiply this by 1/6, you get 1/4. Thus, 4/6 times 1/4 equals 1/6.

Explanation:

The question asks for the unknown value that when multiplied by 4/6 gives the result of 1/6. To find the unknown value, you would set up the equation:

[tex]\(\frac{4}{6} \times x = \frac{1}{6}\)[/tex]

To find the value of x, you can divide both sides of the equation by 4/6. In other words, you are looking for the reciprocal of 4/6 that, when multiplied by 1/6, gives 1. The reciprocal of 4/6 is 6/4. Thus, when you perform the division, you get:

[tex]\(x = \frac{1}{6} \times \frac{6}{4}\)[/tex]

To simplify, you multiply the numerators and the denominators:

[tex]\(x = \frac{1 \times 6}{6 \times 4}\)[/tex]

[tex]\(x = \frac{6}{24}\)[/tex]

Since 6 and 24 have a common factor of 6, you can simplify the fraction:

[tex]\(x = \frac{1}{4}\)[/tex]

Therefore, 4/6 times 1/4 equals 1/6.

Please help me I’m desperate for help.........due tomorrow multiple choice

Answers

Answer:

6. The equation needs to be correct for every pair (x, y) of values from the table. If we want to find the right equation, we simply plug a pair from the table and see if it fits. Let's take the first pair (1, -2) and plug it in the equation a):

-2 = 1+2 ---> obviously not correct

Now let's do the same for equation b):

-2 = 3+3 ---> again incorrect

Equation c):

-2 =1-11 --> incorrect

And equation d):

-2 = 2-4 ---> correct

It's important to know that we could've chosen any pair from the table to check the equation. However, sometimes one pair can fit into more than one equation. In that case, we have to plug in other pairs as well to see which equation is the right one.

7. Scale factor, simply put, shows how many times one value of the figure changed when mapping onto another.  

We are given the triangle ABC. Let's say the side of each of these little squares in 1 unit. That way, we conclude that the length AB is 4 units and BC is 3 units.

Now, let's look at the triangle A'B'C'. Length of the A'B' is 12 units and B'C' is 9 units.

Now to find the scale factor we simply have to find how many times are the sides of the mapped triangle greater then the triangle ABC:

AB/A'B' = BC/B'C' = 3

So, the scale factor is 3.

8. Note that the plumber charges two fees:

- base fee is a constant fee, for all appointments, regardless of the repair needed and hours spent.

- repair fee is a fee paid only if the repair is needed and is dependent on the number of hours spent repairing (more hours greater the fee)

So, in our equation

y = 25x + 30

y represents the total cost and x represents hours.

Now, we can see that this 25x part of equation represents repair fee, because it depends on x (for every hour spent, one pays another $25).

That means that 30 from our equation represents the base fee, the amount everyone will be charged regardless of the need for repair.

9. A relationship is linear if it's graph is a straight line, which means that its rate of change is constant. That means that the change in values of x of the two adjacent points, divided by the change of y is always the same number. That means that:

(x2 - x1)/(y2-y1) = (x3 - x2)/(y3 - y2) = (x4 - x3)/(y4 - y3) etc.

Let's test this.

Our first point is (0, 1) and next one is 1, 2). So, our first change of rate is:

(1-0)/(2-1) = 1/1 = 1

Let's find the rate of change for the next two adjacent pairs:

(x2, y2) = (1, 2)

(x3, y3) = (2, 4)

So, the rate of change is:

(2-1)/(4-2) = 1/2  

It's obvious that the rate of change isn't always the same, which means this relation isn't linear.

One reading at an Arctic research station showed that the temperature was -35° C. What is this temperature in degrees Fahrenheit?

Answers

Answer: [tex]-31\ \°F[/tex]

Step-by-step explanation:

Degrees Celsius and Degrees Fahrenheit are defined as units of measurement of temperature.

In order to make the conversion from Degrees Celsius to Degrees Fahrenheit, you need to follow these steps:

Step 1: You must multiply the temperature in degrees Celsius by [tex]\frac{9}{5}[/tex] (or you can multiply it by 1.8).

Step 2: Then you must add 32 to the product obtained.

In this case, according to the information given in the exercise, you know that the reading at an Arctic research station showed that the temperature was [tex]-35\°C[/tex]

Therefore, applying the steps indicated before, you get that that temperature in degrees Fahrenheit is:

[tex]T_{(\°F)}=(-35)(\frac{9}{5})+32\\\\T_{(\°F)}=-31\ \°F[/tex]

Lamar took out a loan for $2500 and was charged simple interest at an annual rate of 9.3%. The total interest he paid on the loan was $186 . How long was the loan for, in days? Assume that there are 365 days in a year, and do not round any intermediate computations.

Answers

292 days

Solution:

Step 1: Given data:

Principal = $2500

Annual rate = 9.3%

Simple interest paid = $186

Step 2: To find the number of year for the loan paid.

Simple interest = [tex]\frac{Principal\times rate\times year}{100}[/tex]

[tex]186=\frac{2500\times9.3\times years}{100}[/tex]

Do cross multiplication.

⇒ 186 × 100 = 2500 × 9.3 × years

⇒ [tex]\frac{186\times100}{2500\times9.3}=years[/tex]

⇒ [tex]years=\frac{4}{5}[/tex]

Step 3: To find how long the loan was paid in days:

1 year = 365 days

Multiply years by 365

⇒ [tex]days=\frac{4}{5}\times365[/tex]

⇒ days = 292

Hence, the loan was paid in 292 days.

Which function is equivalent to f(x) =2x² - 8x + 3?
g(x) = 2(x - 4)² - 13
g(x) = 2(x - 4)² + 19
g(x) = 2(x - 2)² + 11
g(x) = 2(x - 2)² - 5

Answers

[tex]g(x) = 2(x-2)^2-5 \text{ is equivalent to } 2x^2-8x+3[/tex]

Solution:

Given expression is:

[tex]f(x) = 2x^2-8x+3[/tex]

We have to find the equivalent expression

[tex]\mathrm{Write}\:2x^2-8x+3\:\mathrm{in\:the\:form:\:\:}x^2+2ax+a^2[/tex]

[tex]f(x) = 2x^2-8x+3[/tex]

[tex]\mathrm{Factor\:out\:}2[/tex]

[tex]2\left(x^2-4x+\frac{3}{2}\right)[/tex]

[tex]\mathrm{Add\:and\:subtract}\:\left(-2\right)^2\:[/tex]

[tex]2\left(x^2-4x+\frac{3}{2}+\left(-2\right)^2-\left(-2\right)^2\right)[/tex]

Simplify the above equation

[tex]2(x^2-4x + \frac{3}{2} + 4 -4)\\\\2(x^2-4x +4 + \frac{3}{2} - 4)\\\\2(x^2-4x +4 -\frac{5}{2}) ------- eqn 1[/tex]

Using the algebraic identity,

[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

Therefore,

[tex]x^2-4x+4=\left(x-2\right)^2[/tex]

Substitute the above in eqn 1

[tex]2((x-2)^2-\frac{5}{2})[/tex]

Simplify the above equation by multiplying 2 with terms inside the bracket

[tex]2(x-2)^2 -5[/tex]

Thus the equivalent expression is [tex]g(x) = 2(x-2)^2-5[/tex]

Walter's steps and reasoning for solving an equation are shown below: Given: three halves times x plus ten equals forty Steps Reasons 1. three halves times x plus ten equals forty 1. Given 2. three halves times x plus ten minus ten equals forty minus ten 2. Addition Property of Equality 3. three halves times x equals thirty 3. Simplify 4. three halves times x times two thirds equals thirty times two thirds 4. Multiplication Property of Equality 5. x = 20 5. Simplify Choose which reason is incorrect. Reason 1 Reason 2 Reason 3 Reason 4

Answers

Answer:

From Walter's steps we have that Step2: Reason 2 is incorrect.

The correct reason is Subtraction property of equality (we are using this property only not addition property of equality )

Step-by-step explanation:

Given equation is three halves times x plus ten equals forty

It can be written as below

[tex]\frac{3}{2}x+10=40[/tex]

To solve the given equation :

Step1 Reason1 : [tex]\frac{3}{2}x+10=40[/tex]

Step2 Reason2: Subtracting 10 on both sides of the above equation we get

[tex]\frac{3}{2}x+10-10=40-10[/tex] which is Subtraction property of equality

Step3 Reason3: [tex]\frac{3}{2}x=30[/tex]

Step4 Reason4: Multiply the above equation into [tex]\frac{2}{3}[/tex] on both sides we get

[tex]\frac{3}{2}x\times \frac{2}{3}=30\times \frac{2}{3}[/tex]

which is the Multiplication Property of Equality

Step5 Reason5: Simplify the above equation we get

 [tex]x= \frac{60}{3}[/tex]

Therefore x=20

From Walter's steps we have that Step2: Reason 2 is incorrect.

The correct reason is Subtraction property of equality (we are using this property only not addition property of equality )

Answer:

b

Step-by-step explanation:

Rachel is making a planter box. If her box measures 345 inches long and 543 inches wide, how many inches of board will she needs?

Answers

Rachel needs 1776 inches of board

Solution:

Given that, Rachel is making a planter box

Her box measures 345 inches long and 543 inches wide

Length = 345 inches

Width = 543 inches

To find: Inches of board she needs

So we need to find the perimeter of the board

The board is usually of rectangular shape

Perimeter of rectangle is given as:

Perimeter = 2(length + width)

Perimeter = 2(345 + 543)

Perimeter = 2(888)

Perimeter = 1776

Thus she needs 1776 inches of board



The square of a number exceeds that number by 12. What are the two possible solutions?

Answers

Answer:

-3 or 4

Step-by-step explanation:

If I am wrong I am sorry :[

pls brainlest

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