PLEASEEEEE HELPPOO
For Individual or Group Explorations
Maximizing the Total Profit
Payles at The Christmas Store very periodically with a high ef 550.000 in December
the Christmas Stove also comes the Powe, where profits reach a high of $80,000
in Aurust and a few of $20,000 in February Assume that the profit function for
Crm Store
Save
40
20
10
1 2 3 4 5 6 7 8 9 10 11 12
Month
a) Write the profit function for The Christmas Store as a function of the month
and sketch its graph
b)
Write the profit function for The Pool Store as a function of the month and
sketch its graph.
are are length
Write the total profit as a function of the month and sketch its graph. What is
the period?
are inside the
est enth of a
Use the maximum feature of a graphing calculator to find the owner's maxi-
mum total profit and the month in which it occurs.
Find the owner's minimum total profit and the month in which it occurs.
We know that y -a sin x + bcos x is a sine function. However, the sum of
two arbitrary sine or cosine functions is not necessarily a sine function. Find an
example in which the graph of the sum of two sine functions does not look like
a sine curve.
Explain.
is tangent to one

Answers

Answer 1

Answer:

what

Step-by-step explanation:


Related Questions

A cube 4 units on each side is composed of 64 unit cubes. Two faces of the larger cube that share an edge are painted blue, and the cube is disassembled into 64 unit cubes. Two of the unit cubes are selected uniformly at random. What is the probability that one of two selected unit cubes will have exactly two painted faces while the other unit cube has no painted faces?

Answers

Answer:

P = 0.0714

Step-by-step explanation:

If two faces of the larger cube that share and edge are painted blue, it means that 28 of the 64 unit cubes are painted in at least one side and 36 cubes have no painting faces.

Additionally, from the 28 cubes painted only 4 have exactly two painted faces.

Then, to calculate the number of ways in which we can select x elements from a group of n, we can use the following equation:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, the probability that one of two selected unit cubes will have exactly two painted faces while the other unit cube has no painted faces is:

[tex]P=\frac{4C1*36C1}{64C2}=0.0714[/tex]

Because there are 64C2 ways to select 2 cubes from the 64, and from that, there are 4C1*36C1 ways to select one cube with exactly two painted faces and one cube with no painted faces.

23. Stacie is a resident at the medical facility where you work. You are asked to chart the amount of solid food that she consumes. For the noon meal, today, she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of a 2-ounce serving of green beans. Show, in decimal form, how many ounces of solid food that Stacie consumed. Round two decimal places for final answer.

Answers

Answer:

4.42 ounces

Step-by-step explanation:

Given:

The solid food Stacie has eaten in the noon meal:

1. [tex]\frac{1}2[/tex] of a 3-ounce serving of meatloaf.

2. [tex]\frac{3}4[/tex] of her 3-ounce serving of mashed potatoes

3. [tex]\frac{1}3[/tex] of a 2-ounce serving of green beans

To find:

How many ounces of solid food was consumed by Stacie (upto 2 decimal places) ?

Solution:

Let us convert the given fractions to decimal form upto 2 decimal places:

1. [tex]\frac{1}{2}\ of\ 3\ ounces[/tex] [tex]= \frac{1}{2}\times 3 =1.50\ ounces[/tex] meatloaf .

2. [tex]\frac{3}{4}\ of\ 3\ ounces[/tex] [tex]= \frac{3}{4}\times 3 =2.25\ ounces[/tex] mashed potatoes .

3. [tex]\frac{1}{3}\ of\ 2\ ounces[/tex] [tex]= \frac{1}{3}\times 2 =0.67\ ounces[/tex] green beans.

Let us add the above 3 quantities to get total solid food consumed.

Total solid food consumed = 1.50 + 2.25 +0.67 = 4.42 ounces.

So, the answer is 4.42 ounces.

Point C is on the graph of the function y = x2 – 3. Its x-coordinate is 4. Which ordered pair gives the location of point C? A.(4, 42 – 3) B.(4, 2 + 3) C.(42, 42 – 3) D.(4, 42)

Answers

Answer:

B (4, 2+3)

Step-by-step explanation:

To do this you fill in x with 4 so the equation becomes y = (4)2 - 3

You then solve to y = 8 - 3

then 8 - 3 is 5.

Making the coordinates (4, 5) and in this case with the answers (4, 2+3)

Answer:

A. (4, 4^2 – 3)

a scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown below. the scale is 1 inch = 4 feet. what is the area of the actual playground? *

Answers

Answer:

3200ft^2

Step-by-step explanation:

1 inch = 4ft

so 20 inches = 80ft

and 10 inches = 40ft

Area = 80ft*40ft

Area = 3200ft^2

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. This system of equations models the situation. x + y =125 5x + 8y = 775

Answers

Answer:

The number of car they did quick wash is 75 and the number of car they did premium washes is 50 .

Step-by-step explanation:

The number of cars they washed is equals to 125 cars. They made a total of $775 from the wash. The wash is in two category the quick washes which is $5 and the premium washes which is $8.

Let

number of car for quick washes = x

number of car for premium washes = y

Base on the equation given below

x + y =125 .........(i)

5x + 8y = 775 .......(ii)

Let us find x and y

from equation (i)

y = 125 - x

inserting the value of y in equation (ii)

5x + 8(125 - x) = 775

5x + 1000  - 8x = 775

-3x = -225

divide both sides by -3

x = -225/-3

x = 75

insert the value of x in equation (i)

75 + y =125

y = 125 -75

y = 50

The number of car they did quick wash is 75 and the number of car they did premium washes is 50 .

Answer:

The Answer is A

Please leave an Exellent rating and press THANKS!

At an assembly, 180 students sit in 9 equal rows. How many students sit in each row?

Answers

Answer:

20 students per row

Step-by-step explanation:

person per each row=180/9=20

Answer:

20

Step-by-step explanation:

Take the number of students and divide by the number of students

180/9

20

There are 20 students in each row

A study is done to see if the average age a "child" moves permanently out of his parents' home in the United States is at most 23. 43 U.S. Adults were surveyed. The sample average age was 24.2 with a standard deviation of 3.7. The p-value is

Answers

Answer:

The p-value is 2.1%.

Step-by-step explanation:

We are given that a study is done to see if the average age a "child" moves permanently out of his parents' home in the United States is at most 23. 43 U.S. Adults were surveyed.

The sample average age was 24.2 with a standard deviation of 3.7.

Let [tex]\mu[/tex] = true average age a "child" moves permanently out of his parents' home in the United States.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 23      {means that the average age a "child" moves permanently out of his parents' home in the United States is at most 23}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 23      {means that the average age a "child" moves permanently out of his parents' home in the United States is greater than 23}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                            T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average age = 24.2

            s = sample standard deviation =3.7

            n = sample of U.S. Adults = 43

So, the test statistics =  [tex]\frac{24.2-23}{\frac{3.7}{\sqrt{43} } }[/tex]  ~  [tex]t_4_2[/tex]

                                    =  2.127

The value of t-test statistics is 2.127.

Now, the p-value of the test statistics is given by;

         P-value = P( [tex]t_4_2[/tex] > 2.127) = 0.021 or 2.1%

Which expression is equivalent to 486 – 9 + 6 + 33 × 2?

Answers

Answer:

549

Step-by-step explanation:

Remember PEMDAS (this is the order of operations).

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

So, lets do multiplication first.

33*2 = 66

So, our new expression is 486 - 9 + 6 + 66.

Remember that addition and subtraction are reversible.

486 - 9 = 477

477 + 6 = 483

483 + 66 = 549

Answer:

404

Step-by-step explanation:

P-parenthesis

E-exponents

M-multiplication

D-division

A-addition

S-subtraction

486-9+6+33*2

486-9+6+66

486-81=404

A fair die is rolled two times. What is the probability that both rolls are 6?

Answers

Answer:

1/36

Step-by-step explanation:

the fair die has 6 equal parts which means its the total

the probability of rolling a 6 is 1/6

the probability of rolling another 6 is 1/6

so u multiply 1/6 times 1/6 which is 1/36

hope this helps

Hey there

To make it perfectly clear, consider the sample space for rolling a die twice. There are 36 equally likely possible outcomes, 6 of which define the event "rolling the same number two times in a row". Then, the probability of this event occurring is 636, which is equal to 16.Hope this hope

A graph shows an x- and y-axis. The data line is in the shape of a "vee." The begins above the x-axis and to the left of the y-axis, extends below the x-axis to a point on the y-axis, and ascends above the x-axis to the right of the y-axis. Which statement describes the relationship between x and y? As x increases, y decreases. As x increases, y increases. As x increases, y increases and then decreases. As x increases, y decreases and then increases.

Answers

Answer:

  As x increases, y decreases and then increases

Step-by-step explanation:

You need only understand your own description of the graph:

  begins above the x-axis, extends below the x-axis, and ascends above the x-axis

This is a description of decreasing, then increasing:

  As x increases, y decreases and then increases

Answer:

C. As x increases, y increases and then decreases.

Step-by-step explanation:

Just took the Unit Test and got it correct on Edge.

Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (f o g)(-5)

Answers

It’s probably-67 on the top of my head

If the payment is not made on the credit card by the end of the grace period,
which of the following will occur?

Answers

Answer: C. Interest will be charged

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interest will be charged is your answer!

Solve the equation and give the solution 6x – 3y = 3 –2x + 6y = 14

Answers

Answer:

x=3.9 or 39/10 and   y=3.13333 or 47/15

Step-by-step explanation:

Since both expressions (6x-3y) and (3-2x+6y) are equal to 14, separate the equations:

       6x-3y=14 and 3-2x+6y=14

Simplify the equations

       6x-3y=14 and -2x+6y=11

Now, line the equations up and pick a variable (either x or y) to eliminate

        6x-3y=14

        -2x+6y=11

In this case, let's eliminate y first. To do so make the y values in both equations the same but with opposite signs. Make both be 6y but one is +6y and the other -6y

Multiply (6x-3y=14) by 2 to get:

      12x-6y=28

Line the equations up and add or subtract the terms accordingly

      12x-6y=28

      -2x+6y=11

This becomes:

     10x+0y=39

Isolate for x

   x= 39/10 or x= 3.9

Now substitute the x value into either of the original equations

    6x-3y=14

    6(3.9)- 3y=14

Isolate for y

   23.4-14=3y

   3y= 9.4

  y= 3.1333 (repeating)  or y= 47/15

       

Answer: x = 39/10, y = 94/30

Step-by-step explanation:

6x - 3y = 3 - 2x + 6y,

Now solving this becomes

6x + 2x -3y - 6y = 3

8x - 9y = 3 ------------------- 1

3 - 2x + 6y. = 14

-2x + 6y = 14 - 3

-2x. + 6y = 11

Now multiply both side by -1

2x. - 6y = -11 ----------------- 2

Solve equations 1 & 2 together

8x - 9y. = 3

2x - 6y = -11

Using elimination method

Multiply equation 1 through by 2 ,and equation 2 be multiplied by 8

16x - 18y = 6

-16x - 48y = -88 ------------------------- n, now subtract

30y = 94

Therefore. y = 94/30.

Now substitute for y in equation 2

2x - 6y = -11

2x - 6(94/30) = -11

2x - 94/5 = -11

Now multiply through by 5

10x - 94 = -55

10x = -55 + 94

10x = 39

x = 39/10

A rectangular garden is 20 ft longer than it is wide. Its area is 3500 ft?. What are its dimensions?
Its width equals
Preview
and its length equals

Answers

Answer:

width of the garden is 50 ft and the length is 70 ft

Step-by-step explanation:

Solution:-

- We will denote the width and and the length of the rectangular garden as:

   Width: x

   Length: x + 20

- We are given the area ( A ) of the garden is 3500 ft^2. We are to determine for what dimensions is the area A = 3500 ft^2.

- Recall that the area ( A ) of a rectangle is the product of length and width as follows:

                      A = Length * width

                      A = x*( x + 20 )

                      3500 = x^2 + 20x

                      x^2 + 20x - 3500 = 0

- Use the quadratic formula to determine the value of ( x ):

                     [tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-20 +/- \sqrt{20^2 - 4*-3500} }{2}\\\\x = \frac{-20 +/- 120 }{2} = -10 +/- 60\\\\x = -70 , 50[/tex]

- Ignore the negative value of ( - 70 ft ). Physical impractical to have a negative value. Hence, the width of the garden is 50 ft and the length is 70 ft

Find the measures of the angles in the figure.

Answers

Answer:

[tex]120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o[/tex]

which agrees with the first answer in the list of possible options.

Step-by-step explanation:

We can use the fact that the addition of all four internal angles of a quadrilateral must render [tex]360^o[/tex]. Then we can create the following equation and solve for the unknown "h":

[tex]2h+2h+h+h = 360^o\\6h=360^o\\h=60^o[/tex]

Therefore the angles of this quadrilateral are:

[tex]120^o,\,120^o,\,60^o,\,\,\,and\,\,\,60^o[/tex]

Answer:60,60,120,120

Step-by-step explanation:All qualdrilaterals equal to 360, so if you add all of the different numbers you should get 360

find the exact value of sin 0

Answers

Answer:

12/13

Step-by-step explanation:

First we must calculate the hypotenus using the pythagoran theorem

5²+12² = (MO)² MO = [tex]\sqrt{5^{2}+12^{2} }[/tex] MO = 13

Now let's calculate sin0

sin O = 12/13

So the exact value is 12/13

Answer:

C.) 12/13

Step-by-step explanation:

In a right angle triangle MN = 12, ON = 5 and; angle N = 90°

Now,

For hypotenuse we will use Pythagorean Theorem

(MO)² = (MN)² + (ON)²

(MO)² = (12)² + (5)²

(MO)² = 144 + 25

(MO)² = 169

MO = √169

MO = 13

now,

Sin O = opp÷hyp = 12÷13

In order to sustain itself in its cold habitat, a Siberian tiger requires 25 pounds of meat per day.
How much meat would seven Siberian tigers need for the month of April?
Select one:
a. 750 pounds
b. 175 pounds
c. 5425 pounds
d. 5250 pounds​

Answers

Answer:

the answer is 750 because there are 30 days in the month of april and you just need to multiply it by how much meat they need to have per day.

Step-by-step explanation:

30 x 25 = 750

Farid is baking muffins, The recipe calls for 3/4 cup of sugar for a full batch. Farid is making 1/2 of a batch. Write an expression for the amount of sugar Farid needs to make 1/2 of a batch of muffins. WILL GIVE BRAINLIEST, THANKS, AND FIVE STARS PLZ HELP ME

Answers

Answer:

y = 3/8x

or

3/8 cups of sugar for every 1/2 batch of muffins

Step-by-step explanation:

Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:

[tex]\frac{3}{4} (\frac{1}{2} )= \frac{3}{8}[/tex] cups of sugar.

Answer:

[tex]\frac{x}{2} = \frac{3y}{8}[/tex]

Step-by-step explanation:

Let the batch be x and the amount of sugar be y

Condition:

x = [tex]\frac{3}{4} y[/tex]

Multiplying both sides by 1/2

[tex]\frac{1}{2} x = \frac{3}{4}y * \frac{1}{2}[/tex]

[tex]\frac{x}{2} = \frac{3y*1}{4*2}[/tex]

[tex]\frac{x}{2} = \frac{3y}{8}[/tex]

So, For 1/2 batch of muffins, Farid need 3/8 cups of sugar.

What is the cost of a $1, 200 washing machine after a discount of ⅕ the original price?

Answers

Answer:

$960

Step-by-step explanation:

A shortcut method.

If you get a discount of 1/5, then that means you would end up paying 4/5 of the whole cost. That means all you have to do then is plug in what it costs, which in this case is 1200, and then multiply it by 4/5, so you end up with $960.

Answer:

$960

Step-by-step explanation:

1200*1/5 = 240

1200 - 240 = $960

Would appreciate brainliest!! But it's ok if not

Please help. What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

We can use the equation y = mx + b to find the equation:

Plug in the slope and the point into the equation, and we can find b:

-5 = 3(-3) + b

-5 = -9 + b

4 = b

Now, we can plug in the slope and y-intercept into the equation:

y = 3x + 4 will be our equation

Solve the equation 1/3 (x + 1) +2x =2

Answers

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            Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]\frac{1}{3} (x+1)+2x=2[/tex]

Step 1: Simplify both sides of the equation.

[tex]\frac{1}{3} (x+1)+2x=2[/tex]

[tex](\frac{1}{3}) (x) + (\frac{1}{3} ) (1) + 2x = 2[/tex] (Distribute)

[tex]\frac{1}{3} x + \frac{1}{3} + 2x = 2[/tex]

[tex]( \frac{1}{3} x + 2x ) + (\frac{1}{3}) = 2[/tex] (Combine Like Terms)

[tex]\frac {7}{3} x + \frac{1}{3} = 2\\\frac{7}{3} x + \frac{1}{3} = 2[/tex]

Step 2: Subtract 1/3 from both sides.

[tex]\frac{7}{3} x + \frac{1}{3} - \frac{1}{3} = 2 - \frac{1}{3} \\\\\frac{7}{3} x = \frac{5}{3}[/tex]

Step 3: Multiply both sides by 3/7.

[tex]( \frac{3}{7} ) * (\frac{7}{3}x) = ( \frac{3}{7}) * \frac{5}{3} \\\\x = \frac{5}{7}[/tex]

So the answer is : [tex]x = \frac{5}{7}[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Ash Lee bought a new Brunswick boat for $17,000. He made a $2,500 down payment on it. The bank's loan was for 60 months. Finance charges totaled $4,900. His monthly payment is:

Answers

Answer:  $323.33

Step-by-step explanation:

($17,000 + $4,900 - $2,500) ÷ 60 months = $323.33 per month

    ↓                ↓              ↓

 price        finance      down payment

Fill in the blank. A​ _______ variable is a variable that has a single numerical​ value, determined by​ chance, for each outcome of a procedure.

Answers

Answer:

Random variable

Step-by-step explanation:

The reason it is a random variable is because a, the definition fits, and b you can use context clues as well, such as 'determined by chance' which is another example of random! So, the answer is random, because random variables are determined by chance. Hope this helped.

Answer:

"A random variable is a variable that has a single numerical value, determined by chance, for each outcome of a procedure."

A random variable is distinct on the off chance that it takes on a countable number of quantities.

Let A = {H, T} be the set of outcomes when a coin is tossed, and let B = {1, 2, 3, 4, 5, 6} be the set of outcomes when a die is rolled. The set of outcomes when a coin is tossed twice. Write the set in terms of A and/or B. A ∩ B A × A A × B A ∪ B List the elements of the set.

Answers

Answer:it is 6 trust

Step-by-step explanation:yah know

Answer question 18 or 19 in the image thank you and please help

Answers

Answer:

19)

[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = 2^n[/tex]

Notice that in the left side, all the numbers are powers of 2.

2 = 2^1

4 = 2^2

8 = 2^3

16 = 2^4

remember that:

(a^x)*(a^y) = a^(x+y)

then the denominator in the left is:

(2*4*8*16) = 2*(2^2)*(2^3)*(2^4) = 2^(1 + 2 + 3+ 4) = 2^8

Then we have:

[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = \frac{1}{2^8} = 2^n[/tex]

[tex]1 = 2^8*2^n = 2^{8 + n}[/tex]

then 8 + n = 0

then n = -8.

18)

here we have:

x = (x/9) + (x/6) + (x/2) + 4 + (x/12) + 2

now in the left side we can use the common factor x and write it as:

x = x*( 1/12 + 1/9 + 1/6 + 1/2) + 6

x = x*(0.861) + 6

x - x*(0.861) = 6

x*(1 - 0.861) = 6

x = 6/(1 - 0.861) = 43.2

Find the solution(s) of the system of equations: x2 + y2 = 8 y = x – 4 options: (–2,–6) (2,–2) and (–2,–6) (2,–2) No solutions

Answers

Answer: x=2 y=-2

(2,-2) one solution

Step-by-step explanation:

Solve by substitution

[tex]\begin{bmatrix}x^2+y^2=8\\ y=x-4\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=x-4[/tex]

[tex]\begin{bmatrix}x^2+\left(x-4\right)^2=8\end{bmatrix}[/tex]

[tex]2x^2-8x+16=8[/tex]

[tex]\mathrm{Isolate}\:x\:\mathrm{for}\:2x^2-8x+16=8:\quad x=2[/tex]

[tex]\mathrm{For\:}y=x-4[/tex]

[tex]\mathrm{Subsititute\:}x=2[/tex]

[tex]y=2-4[/tex]        [tex]2-4=-2[/tex]

[tex]y=-2[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]

[tex]x=2,\:y=-2[/tex]

You are looking to invest in several different real estate deals. You have received ceconomic reports that explain the probability of good economic conditions will be .6 and .4 for bad economic conditions. Below is the Payoff Table, and after calculating the expected value for each decision, you determine the best "payoff deal is:
Good Economic Bad Economic
Conditions Condition (.60) Conditions (.40)
Apartment Building 50,000 30,000
Office Building $100,000 $-40,000
Warehouse 30,000 $10,000
A. Apartment Building
B. Office Building
C. Warehouse
D. None of the above.

Answers

Answer:

Real Estate Deals

The best "payoff deal:"

B. Office Building

Step-by-step explanation:

A) Payoff Table

                                  Good Economic         Bad Economic

                                     Conditions                 Conditions

Probability                          (.60)                          (.40)

Apartment Building         $50,000                    $30,000

Office Building               $100,000                   $-40,000

Warehouse                     $30,000                     $10,000

B) Calculation of Expected Values:

                             Good Economic      Bad Economic    Expected Values

                                  Conditions          Conditions

Probability                       (.60)                    (.40)

Apartment Building     $30,000             $12,000             $42,000

Office Building            $60,000            $-16,000             $44,000

Warehouse                  $18,000               $4,000            $22,000

b) The expected value for these real estate deals can be derived as the sum of the payoffs under the two economic conditions after they have been weighed with their odds of occurrence.  The office building, in this example, showed the best payoff deal as the expected payoff from it results to a payoff of $44,000, which is higher than the expected payoff from the Apartment and Warehouse.  However, it is also the riskiest, especially when bad economic conditions occur.  This also accords with the general economic risk-return pattern that higher risky investments attract higher returns.

PLZ IM ON THE CLOCK!!!!! A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store can stock no more than 80 balls total during a single month. What is the maximum profit the store can make from selling footballs and baseballs in a typical month? $457.50 $460.00 $462.50 $572.50

Answers

Answer:

460

Step-by-step explanation:

Answer:

460

Step-by-step explanation:

Which of the following triangles can be proven similar through AA?
A)
B)
C)
D)

Answers

Answer:

The options that have two angles, which are A and D prove both triangles to be similar.

Step-by-step explanation:

The postulate AA is exactly what it sounds like, and you can find the two angles, which will prove the similarity of two triangles sharing those two angles.

The reason being is if two angles are the same between the two triangles, the third can't be different.

A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 33 days.

Answers

Answer:

Below

Step-by-step explanation:

The initial length of the road was 56. 56 is the y-intercept assuming that the graph of this function is a line.

so the equation is:

y= mx+56

m is the slope of the function wich is by how much the function grows.

By analogy, m is the distance added to the road each day.

● y= 3x+56

X is the number of days.

■■■■■■■■■■■■■■■■■■■■■■■■■■

To find the length of the road after 33 days, replace x by 33.

y= 3*33+56 = 155

So after 33 days the road is 155 miles.

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