Every angle in the polygon is a right angle. The area of the polygon is 426 in2

What is the length of the left side of the polygon? Show your work
Plss help

Step-by-step explanation:

Let say the unknown number we dont know is x

2x+4=6

2x=6-4

2x=2

x=2/2

x=1

So the unknown number is 1

Answer: 2/3

Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.

GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.

Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.

Factors of numerator (6): 1, 2, 3, 6

Factors of Denominator (9): 1, 3, 9

Steps to Calculate:

1. Find the GCF

2. Divide numerator and denominator by GCF

6/3 = 2

9/3 = 3

Therefore, the lowest term would be 2/3

four is the minimal because you want to draw all four to the four of a kind

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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The annual rate of interest is 0.01858

To calculate the annual rate of interest, we need to determine the interest earned in 9 months on an investment of $19,732.65. The interest earned is $275.03. Using this information, we can calculate the annual rate of interest by dividing the interest earned by the principal investment and then multiplying by the appropriate factor to convert it to an annual rate.

To calculate the annual rate of interest, we can use the formula:

Annual interest rate = (Interest earned / Principal investment) * (12 / Number of months)

In this case, the interest earned is $275.03, the principal investment is $19,732.65, and the number of months is 9.

Plugging in the values into the formula:

Annual interest rate = ($275.03 / $19,732.65) * (12 / 9)=0.01858

The annual rate of interest is 0.01858.

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Answer:

1.87

Step-by-step explanation:

Is 4 less than five in the thousands place, yes, so keep the first two decimal digits the same

Answer:

40%

I dont want step by step

Answer:

that will be 3 gallons per minute

Step-by-step explanation:

just took it on a test

Answer:

  (c)  (x +7)/3

Step-by-step explanation:

Factor each expression and cancel common factors.

 \(\dfrac{x^2+12x+35}{3x+15}=\dfrac{(x+7)(x+5)}{3(x+5)}=\boxed{\dfrac{x+7}{3}}\)

Answer:

C

Step-by-step explanation:

passed the quiz

Answer:

D-648

Step-by-step explanation:

Answer:

the is d i got it right on my test

Step-by-step explanation:

Answer:

16807

Step-by-step explanation:

7 * ((sqrt49)^4 =  7 * 7^4  = 7^5 = 16807

Answer:

-59.3 ft

Step-by-step explanation:

4.5 x 7 = 31.5

140 + 31.5 = 171.5

171.5 - 112.2 = 59.3

she is below sea level so it is negative.

Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

Explanation:

Vertical angles are always opposite one another, and they form after intersecting two lines. Vertical angles are always congruent (i.e. the same measure).

Answer:

x = 2y

Step-by-step explanation:

we don't need to do complicated trigonometric conversions. just try to express x by a term of y (or vice versa) and look.

so, starting with x = 2y.

if that is the case, then what is our equation looking like ? is it true ?

sin(2y - y)/sin(y) + cos(y - 2y)/cos(y) = 2

sin(y)/sin(y) + cos(-y)/cos(y) = 2

1 + cos(-y)/cos(y) = 2

cos(-y)/cos(y) = 1

cos(-y) = cos(y)

and yes, this is indeed true for all y. cos decreases from 1 to -1 with the increase of the absolute value of the angle from 0 to 180 degrees (meaning we could go up or down the same angle from 0, and cos would be the same), and then increases again to +1 for the increase of the absolute value of the angle from 180 to 360 degrees. and then it all starts again. and again, and again, ...

so, since the original equation is true under the assumption x=2y, this must be the correct option.

Answer:

We can use a recursive approach to solve this problem. Let's define a function $f(n)$ as the number of ways to ascend a flight of $n$ steps, where the priestess can only take one or two steps at a time.

To ascend a flight of 1 step, there is only one way to do it (take one step). Therefore, $f(1) = 1$.

To ascend a flight of 2 steps, there are two ways to do it (take two steps at once or take one step twice). Therefore, $f(2) = 2$.

For a flight of $n$ steps, the priestess can either take one step and ascend the remaining $n-1$ steps in $f(n-1)$ ways, or take two steps and ascend the remaining $n-2$ steps in $f(n-2)$ ways. Therefore, we have the recursive formula:

$$f(n) = f(n-1) + f(n-2)$$

Using this formula, we can calculate the number of ways to ascend a flight of 5 steps:

$$f(1) = 1$$

$$f(2) = 2$$

$$f(3) = f(2) + f(1) = 3$$

$$f(4) = f(3) + f(2) = 5$$

$$f(5) = f(4) + f(3) = 8$$

Therefore, there are 8 different ways for the priestess to ascend the steps. To find out if she can do this a different way each day for a week, we need to make sure that there are at least 7 different ways. Since there are 8 ways, it is possible for the priestess to ascend the steps in a different way each day for a week.

D

Step-by-step explanation:

Probabilities are used to determine the chances of picking a marble

The probability of picking a blue marble is: x/20

The given parameters are:

\(\mathbf{Marbles = 40}\)

\(\mathbf{Red = x}\)

The probability of picking a red marble is calculated as:

\(\mathbf{Pr = \frac{Red}{Marbles}}\)

Substitute values for Red and Marbles

\(\mathbf{Pr = \frac{x}{40}}\)

He is twice as likely to randomly pick a blue marble from a bag as she is to pick a red marble

So, the probability of picking a blue marble is:

\(\mathbf{P(Blue) = 2 \times \frac x{40}}\)

This gives

\(\mathbf{P(Blue) = \frac x{20}}\)

Hence, the probability of picking a blue marble is: x/20

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Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

Answer:

it's a square with sides all equal to 5 units

Step-by-step explanation:

Answer:

\( \sf \: x = - \frac{1}{5} y + \frac{2}{5} \)

Step-by-step explanation:

5x+y=2 solve the literal{It's called linear }equation for x

5x+y=2

Step 1: Add -y to both sides.

5x+y+−y=2+−y

5x=−y+2

Step 2: Divide both sides by 5.

5x/5=−y+2/5

x=−1/5y+2/5

Fee for one Subscription = $10

Total people Took subscription right now = 100 + (30-10)

= 100+20 = 120

Total earning = 120 × $10

= $1200

\(\huge\text{Hey there!}\)

\(\text{Your given information we know so far is:}\\\textsf{The subscription feeds that Kiersten received for ONE month by each of her}\\\textsf{subscribers was \boxed{\mathsf{\$10}}. She has a total of \boxed{\mathsf{100}} people since last month, that means }\\\textsf{Kiersten should most likely be earning}\rightarrow\boxed{\mathsf{1,000}}\mathsf{\ (because \ 100\times 10 = \$1,000).}\\\\\text{Reading further more:}\\\textsf{Your new month has approximately 30 new subscribers that has joined Kiersten}\)

\(\textsf{site, and about 10 subscribers got rid of their subscription. This let us}\\\textsf{us know that subscription \underline{increased} by about \boxed{\mathsf{20}} subscriptions (because }\\\mathsf{30 - 10 = 20)}\\\\\rm{120\times10 = total \ earnings \ for\ Kiersten\ business}\\\rm{120\times10 = \$1,200}\\\\\\\huge\text{Therefore, your answer is: } \boxed{\mathsf{\$1,200}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

Matthew's claim of a 0.9% daily growth rate is much higher than the actual weekly growth rate of 6.38%. Matthew's claim is too high of a rate, and the population of ants is growing at a slower rate than he suggests.

The claim made by Matthew that the population of ants is growing at a rate of 0.9% per day is too high. Let me explain why.

To determine the rate at which the population of ants is growing, we need to consider the given function

\(P(w) = 24,000(1.063)^w\),

where w represents the number of weeks.

Matthew's claim suggests a daily growth rate of 0.9%, which means that the population would increase by 0.9% every day.

However, the given function is in terms of weeks, not days.

To compare Matthew's claim to the given function, we need to convert the daily growth rate to a weekly growth rate.

First, we need to determine the weekly growth rate that corresponds to a daily growth rate of 0.9%.

To do this, we can use the formula:

Weekly Growth Rate = (1 + Daily Growth Rate)^(days per week) - 1.

In this case, the daily growth rate is 0.009 (0.9% expressed as a decimal), and there are 7 days in a week.

Plugging these values into the formula, we get:

Weekly Growth Rate = \((1 + 0.009)^(7) - 1\)

Calculating this expression gives us a weekly growth rate of approximately 6.38%.

Comparing this to the given function,

\(P(w) = 24,000(1.063)^w\),

we can see that Matthew's claim of a 0.9% daily growth rate is much higher than the actual weekly growth rate of 6.38%.

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Answer:

c hehhe

Step-by-step explanation:

The correct initial condition for this problem is A(O) = 5000.The differential equation governing the remaining balance R(t) after t years can be derived as follows:A'(t) = k - 0.1R(t),

where k is the constant monthly payment rate of the student.According to the given information, the interest is compounded continuously, which means we can apply the continuous compound interest formula to solve for R(t):R(t) = 5000 e^{0.1t}

The initial condition for this problem is that the student borrowed $5000,

so we have R(0) = 5000.We want to determine the payment rate k that is required to pay off the loan in 5 years, so we need to solve for k such that R(5) = 0:R(5) = 5000 e^{0.5} - k*12*5 = 0

Solving for k, we get:k = 5000 e^{0.5}/60 = 28.09

Therefore, the payment rate k that is required to pay off the loan in 5 years is $28.09 per month. The correct initial condition for this problem is A(O) = 5000.

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