the product of 2 more than a number and 10 is 36 more than 8 times the numbe. whats the number?​

As it is already given that Roxanne walks the perimeter and the diagonal thus the total distance which she has walked is 25 feet + 70 feet = 95 feet

Given that the length of the floor = 20 feet

and the breadth of the floor = 15 feet

thus from the given dimensions we can conclude that the figure is a rectangles

So the perimeter can be calculated as 2 ( length + breadth )

thus perimeter = 2 ( 20 + 15 )

perimeter = 2 × 35 = 70 feet

the diagonal can be calculated as \(\sqrt{20^{2} + 15^{2} }\)  

thus diagonal = \(\sqrt{400 + 225}\)

= \(\sqrt{625}\)

= 25 feet

Thus as it is given that Roxanne walks the perimeter and the diagonal thus the total distance which she has walked is 25 feet + 70 feet = 95 feet

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Based on the given information, the correct option is: b. Sarah is about 25 miles from Jack and about 43 miles from Edward.

This option aligns with the angle of 25° between the direction of the shortest distance from Sarah to Jack (north) and the direction from Sarah to Edward (east). It indicates that Sarah is closer to Jack (25 miles) than she is to Edward (43 miles).

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Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

The straight-line distance and the shortest distance between point X and point Y will be 2,260 m and 2,361.78, respectively.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The distance between streets is around 80 m and the distance between avenues is around 260 m, as shown below.

The straight-line distance between point X and point Y will be given as,

⇒ (24 - 15) x 260 + (9 - 5) x 80

⇒ 2,340 + 320

⇒ 2,260 m

The shortest distance along the roads to get from point X to point Y will be given as,

D² = (2,340)² + (320)²

D² = 5,475,600 + 102,400

D² = 5,578,000

D = 2,361.78 meters

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The complete question is attached below.

Answer:

number = 24

Step-by-step explanation:

3 x 8 = 24

24 / 3 = 8

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.

If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.

By the triangle property, that sum of the two sides is always greater than the third side.

2x+2+x+3 > n

3x+5 > n  .....(1)

Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft

n+x+3 > 2x+2

n > x-1 .....(2)

From the inequality (1) and (2), we get:

x – 1 < n < 3x + 5

Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

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Answer:

\(x = p(m-n)\)

Step-by-step explanation:

m = n + \(\frac{x}{p}\)

Subtracting n to both sides

=> m-n = \(\frac{x}{p}\)

Multiplying p to both sides

=> \(x = p(m-n)\)

Answer:

x=p(m-n)

Step-by-step explanation:

m =n + x/p

x/p=m-n

x=p(m-n)

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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Answer:

C will be the perfect answer

Answer: C

Step-by-step explanation: inches squared means the number must be multiplied by itself because it is an exponent. So if the measurements are 612 by 612, it is the correct answer because it means the same thing.

Answer:

Answer is attached to steps.

Step-by-step explanation:

Those are the steps and the answer attached

Answer:

30 divided by 2 = D

Step-by-step explanation:

None

Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.

Let's first find the dimensions of the printable region of the poster.

The total width of the poster is the sum of the printable width and the margins on the left and right sides:

Total width = Printable width + Left margin + Right margin

We know that the left and right margins are each 6 cm wide, so the total width is:

Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm

Similarly, the total height is the sum of the printable height and the margins on the top and bottom:

Total height = Printable height + Top margin + Bottom margin

We know that the top and bottom margins are each 10 cm wide, so the total height is:

Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm

The area of the printable region is:

Printable area = Printable width × Printable height

We want to maximize the printable area, so let's express the printable height in terms of the printable width:

Printable height = Total height - Top margin - Bottom margin

Printable height = (Printable width + 12 cm) - 10 cm - 10 cm

Printable height = Printable width - 8 cm

Substituting into the equation for printable area, we get:

Printable area = Printable width × (Printable width - 8 cm)

Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:

d(Printable area)/d(Printable width) = 2Printable width - 8 cm

2Printable width - 8 cm = 0

Printable width = 4 cm

So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.

Printable width = -b/2a

where a = 1 and b = -8

Printable width = -(-8)/(2×1) = 4

Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:

Printable area = Printable width × Printable height

Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)

Printable area = 4 cm × 2156 cm

Printable area = 8624 cm

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Answer:

I believe that the answer would be d

Step-by-step explanation:

The first store has 30% right off the gate and the second store offers 10% off, then an additional 20, therefor amounting to 30% as well.

Also i did the math for the actual price that it would be but when I subtracted the two i didnt get any of the answers.

Answer:

Hey there!

Eight years ago, Manuel's age was 36/2, or 18.

Now, his age is 18+8, or 26 years old.

So, he is 26 years old now.

Hope this helps :)

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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The slope of the line is 10/3 or 3.33. Plot the line by clicking twice for each segment. To delete a segment, click on it.

The slope of the line, represented by the "rise" and "run," can be calculated as follows:

1. Start by drawing a line.

2. Label one end of the line as point A and the other end as point B.

3. Measure the vertical distance between point A and point B. This distance is the "rise."

4. Measure the horizontal distance between point A and point B. This distance is the "run."

5. Write down the value of the rise, which is 10 in this case.

6. Write down the value of the run, which is 3 in this case.

7. To find the slope, divide the rise by the run. In this case, 10 divided by 3 equals 3.33.

8. Simplify the slope to the simplest form. Since 3.33 cannot be simplified further, the slope remains as 3.33.

9. The slope of the line, in simplest form, is 3.33.

To plot the line:

1. Click twice on the graph to plot the segment representing the rise of 10.

2. Click twice on the graph to plot the segment representing the run of 3.

3. The line connecting the two points represents the slope of the line.

To delete a segment:

1. Click on the segment you want to delete.

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Answer:

x-1/3 = k where k=3

We must be happy enough to find the value of only one valuable here, that is, x.

therefore, x-1/3=3

To find what is x-1, all we need to do is,

Take the denominator of the fraction to the answer (3)and multiply them. (that's how you'll find the values in the numerator)

So, you'll get,

x-1=3*3

x-1=9

To find the value of x,

The other number (-1) should be taken to the answer (9)

(Remember that the sign changes when the number crosses the equals sign)

therefore,

x= 9 + 1 (-1 will turn to +1 on crossing the equal sign)

Therefore , by addition, normally,

you'll get x=10

Hope this helps:)

Answer:

y = x-7

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

2y -2x = -14

Add 2x to each side

2y-2x+2x= 2x-14

2y = 2x-14

Divide by 2

2y/2 = 2x/2 -14/2

y = x-7

Answer:

Plz give brainliest

Step-by-step explanation:

I believe

A) 0 - 20,000

B) Interval= 2000 or 3000

The task is to factorize the given number N = 13589. By finding the prime factors of N, we can break the RSA encryption.

To factorize N = 13589, we can try to divide it by prime numbers starting from 2 and check if any division results in a whole number. By using a prime factorization algorithm or a computer program, we can determine the prime factors of N. Dividing 13589 by 2, we get 13589 ÷ 2 = 6794.5, which is not a whole number. Continuing with the division, we can try the next prime number, 3. However, 13589 ÷ 3 is also not a whole number. We need to continue dividing by prime numbers until we find a factor or reach the square root of N. In this case, we find that N is not divisible by any prime number smaller than its square root, which is approximately 116.6. Since we cannot find a factor of N by division, it suggests that N is a prime number itself. Therefore, we cannot factorize N = 13589 using simple division. It means that the RSA encryption with this particular N value is secure against factorization using basic methods. Please note that factorizing large prime numbers is computationally intensive and requires advanced algorithms and significant computational resources.

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Answer: Right Triangle

Step-by-step explanation: You can use the Pythagorean Theorem. a^2+b^2=c^2

You test if the equation is true. 21^2 x 20^2 = 29^2 which is 841 = 841

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer: 2,520 distinct permutations can be formed from all of the letters of the word Houston.

Answer:

x=− 19/2 -9.500

Step-by-step explanation:

                    3/4*x+5-(1/4+1/4*x)=0

   3        1  1

 ((—•x)+5)-(—+(—•x))  = 0

   4        4  4

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 + x                   x + 1

—————  =  —————

  4                         4  

   3               (x + 1)

   4                  4  

                         4

Answer:

The answer is x= -10

Answer:

4

Step-by-step explanation: