what is the area of a pentagon with an apothem of 12 and side length of 17.4

Answer: Line AE equals 14 units (approximately)

Step-by-step explanation: If you have a rhombus given, it is important to begin by highlighting the properties of a rhombus. A rhombus first of all is four-sided shape with all sides congruent, then the two opposite sides are parallel and congruent. Also, the diagonals bisect each other into two equal halves each.

Therefore, we shall examine a rhombus labelled ABCD, with side AD measuring 4x + 2, and side DC measuring 7x - 13. Then BD is a diagonal from point B to point D, and it measures 34 units. Also a diagonal is drawn halfway from point A and stops at point E (E is in the middle), where it bisects diagonal BD into two halves. Remembering that all sides of a rhombus are equal, then note that AD equals DC, that is;

4x + 2 = 7x - 13

2 + 13 = 7x - 4x

15 = 3x

Divide both sides of the equation by 3

5 = x

If AD = 4x + 2, then when x  = 5

AD = 4(5) + 2

AD = 20 + 2

AD = 22

Therefore triangle ADE can now be isolated with side AD measuring 22 units and side ED measuring 17 units (midpoint between points B and D). Line AE can be calculated using the Pythagoras theorem which states as follows;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the two other sides

Substituting for values as given in the question, we now have;

AD² = ED² + AE²

22² = 17² + AE²

484 = 289 + AE²

484 - 289 = AE²

195 = AE²

Add the square root sign to both sides of the equation

√195 = √AE²

13.96 = AE

Therefore line AE ≈ 14 units (to the nearest whole number)

Answer:

-3/ 20

Step-by-step explanation:

-3/8 * 2/5

Rewriting

-3/5 * 2/8

Simplify the right term by dividing the top and bottom by 2

-3/5 * 1/4

Multiply the numerators and then the denominators

-3/ 20

Answer:

- 3/20

Step-by-step explanation:

-3/8 * 2/5

= -6/40

= -3/20

Answer:

21.

Step-by-step explanation:

20+1=21

You can like use a calculator for this stuff...

Answer: c.28 yards

Step-by-step explanation:

Hi, Since the triangle is a right triangle we have to apply the Pythagorean theorem to find the lenght of Orange Dr street.

c2 = a2+b2

Where c is the hypotenuse (the longest side) and a and b are the other sides of the triangle.

Replacing with the values given

85^2 = 77^2 + b^2

7225 = 5929 +b^2

7225-5929 = b^2

1296 = b^2

√1296 = b

36 = b ( orange Dr length)

Adding the lengths of orange and Peach ave .

36+77 = 113 yards

Subtracting the length of cherry st.(85)

113 -85 = 28 yards

His trip would have been 28 yards further  

Answer:

Step-by-step explanation:300

Answer:

125

Step-by-step explanation:

5x5=25 25x5=125

5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.

To express 5 to the 3rd power (5^3) in standard form, we'll calculate the result first and then represent it in standard form.

5^3 means multiplying 5 by itself three times:

5^3 = 5 * 5 * 5 = 125.

Now, to express 125 in standard form, we'll use the convention where a number is written as a product of a number between 1 and 10 and a power of 10. This form is used to make large or small numbers more manageable

To do this, we'll write 125 as 1.25 multiplied by a power of 10. Since 125 is equal to 1.25 multiplied by 100 (10^2), we can express it in standard form as:

125 = 1.25 * 10^2.

5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.

In standard form, numbers are expressed as A × 10^n, where A is a number between 1 and 10, and n is an integer representing the power of 10 by which A is multiplied to form the number. In this case, A is 1.25, and n is 2, making it 1.25 × 10^2.

This form simplifies large numbers and is commonly used in mathematics and science for ease of representation.

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Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

Annie will need to bake 30 cookies and 6 cupcakes for the bake sale based on the given ratio.

Annie bakes cookies and cupcakes in a ratio of 5 to 1. To solve the problem, the first thing we need to do is determine how many 'parts' there are in total. In this ratio, there are 5 parts cookies and 1 part cupcake, making a total of 6 parts.

In the question, it is mentioned that Annie needs to make 36 desserts. Each 'part' can then be calculated as 36 (total desserts) divided by 6 (total parts), which is 6.

As a result, Annie will need to bake 30 cookies (5 parts multiplied by 6) and 6 cupcakes (1 part multiplied by 6).

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Answer: 1440

Step-by-step explanation:

36 * 80 = 2880 * ½ = 1440 so the answer of the triangle is 1,440

The area of circular table top is greater than the area of rectangular front door, circular table top will not fit through front door.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, front door is a rectangle and has a width of 36 inches and a height of 80 inches.

We know that, area of a rectangle is length×breadth

Now, area of front door is 80×36

= 2880 square inches

Here, radius of circular table top is 43 inches

Area of circle = πr²

= 3.14×43²

= 5805.86 square inches

Since, the area of circular table top is greater than the area of rectangular front door, circular table top will not fit through front door.

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"Your question is incomplete, probably the complete question/missing part is:"

Bethany has a circular table that she needs to carry inside her house to paint. Her front door is a rectangle and has a width of 36 inches and a height of 80 inches. If the table top has a diameter of 86 inches, will it fit through her front door?

Answer:

its the second one

Step-by-step explanation:

I want brainliest

Answer:

it has to spread over a large portion of the world

Explanation:

That's what a pandemic is.

Answer: [tex]226.08m^3[/tex]

Step-by-step explanation:

[tex]V=(3.14)(3m)^2(8m)\\V=(3.14)(9m^2)(8m)\\V=226.08m^3[/tex]

Answer:

226.08m³

Step-by-step explanation:

Answer:

The movie was 1 hour and 35 minutes long. (Or 95 minutes long)

Step-by-step explanation:

Well let's see:

It will take 15 minutes from the start to reach 5:00 PM

4:45+0:15=5:00

Now it will be 1 hour and 20 minutes from 5:00 PM to reach the end time of the movie.

Adding the minutes and hours together:

1 hour + 20 minutes + 15 minutes = 1 hour and 35 minutes

Answer:

1:35

Step-by-step explanation:

4:45 is where you start. If you go an hour at would be 5:45. Then count to 6:20. if it's tough go to a silent place and try not to think of anything else just of what your counting to. Hope this helps!

Answer:

He will make  $53,330

Step-by-step explanation:

In this question, we are tasked with calculating how much Mr Santiago will make in three years.

To calculate the future value of his earnings, we can use the formula for the future value of the salary

Mathematically, the FV = I(1 + r)^t

Where I is the initial amount of $51,000

r is the interest rate which is 1.5% = 1.5/100 = 0.015

t is the time in years which is 3 years

We plug these values into the equation above;

FV = 51,000(1+0.015)^3

FV = 51000(1.015)^3

FV = 53,329.59 which is $53,330 to the nearest whole dollars

Answer:

(D) There are probably more blue marbles than red marbles in the bag.

Step-by-step explanation:

There are a total of 100 marbles in the bag.

In the experiment of 50 trials, Sam had the following outcome:

Blue=35

Red=15

Relative Frequency of Blue Marbles =35/50=0.7

Relative Frequency of Red Marbles =15/50=0.3

Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, there are probably more blue marbles than red marbles in the bag.

The correct option is D.

Answer: A cherry pie costs 9 and an apple pie cost 12

Step-by-step explanation:

Let an apple pie be represented by a

Let an cherry pie be represented by c

Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:

12c + 3a= 144

Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:

2c + 9a = 126

12c + 3a= 144 ............. i

2c + 9a = 126 ........... ii

Multiply equation i by 2

Multiply equation ii by 12

24c + 6a = 288 ........ iii

24c + 108a = 1512 ...... iv

Subtract iv from iii

-102a = -1224

a = 1224/102

a = 12

An apple pie costs 12

From equation i

12c + 3a= 144

12c + (3×12) = 144

12c + 36 = 144

12c = 144 - 36

12c = 108

c = 108/12

c = 9

A cherry pie costs 9

The problem is about solving a system of linear equations. By assigning C to represent the price of a cherry pie and A to represent the price of an apple pie, we created two equations to reflect Jennifer and Jacob's pie sales. Then solve the equations.

The subject of the school fundraiser problem is systems of linear equations. Applying the method of simultaneous equations, we can represent this problem with two equations. Let's represent the cost of a cherry pie as C and an apple pie as A.

For Jennifer's sales, we form the equation 12C + 3A = 144. For Jacob's sales, we form the equation 2C + 9A = 126. To solve this system of equations, we can use substitution or elimination. These equations are a representation of the fact that each pie type has a consistent price, irrespective of who is selling it or how many of each are sold.

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Answer: A) ∠E < ∠D < ∠F

To determine the correct order of the angles, we need to compare their sizes [tex]∠D < ∠E < ∠F[/tex] Therefore the correct option is B .

Let's analyze each option: A) [tex]∠E < ∠D < ∠F[/tex]: This is incorrect because it suggests that ∠E is the smallest, followed by ∠D, and then ∠F. B) : This seems to be the most logical answer as it indicates that ∠D is the smallest, followed by ∠E, and then ∠F. C) [tex]∠F < ∠E < ∠D:[/tex]

This option states that ∠F is the smallest angle, which contradicts the given inequality. D)[tex]∠D < ∠F < ∠E:[/tex] This is also incorrect as it suggests that ∠D is the smallest, followed by ∠F, and then ∠E. Therefore, the correct order of the angles, from smallest to largest, is [tex]∠D < ∠E < ∠F,[/tex]which is option B.

Hence the correct option is B.

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Answer:

The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a

2.25b + 1.75b = 4b

2.25c + 1.25c = 3.5c

Step-by-step explanation:

Answer:

The answer is A). 4.00b + 3.50c

Step-by-step explanation:

2.25b + 1.75b = 4.00b

2.25c + 1.25c = 3.50c

Answer:

LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.

No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation and calculate the correlation coefficient.

No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation. If the regression equation is significant and the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y. If the correlation coefficient is not significantly different from zero, then there is no significant linear relationship. In this case, we need to calculate the correlation coefficient and see if it is significant.

To calculate the correlation coefficient, we use the formula r = √(SSR / SST), where SSR is the sum of squared residuals and SST is the total sum of squares. If the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y.

In conclusion, we cannot determine if there is a linear correlation between x and y without calculating the correlation coefficient.

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Answer:

the answer is 84.56

Step-by-step explanation:

A = lw

A = 18 · 4

A = 72

The area of the rectangle is 72 cm2.

Circle

A = πr2

A = 3.14(2)2

A = 3.14(4)

A = 12.56

The area of the circle is 12.56 cm2.

Find the area of the bookmark.

A = 72 + 12.56

A = 84.56

Step-by-step explanation:

Use grouping.

f(x) = x⁴ + 2x³ − 9x² + 18x

f(x) = x³ (x + 2) − 9x (x + 2)

f(x) = (x³ − 9x) (x + 2)

f(x) = x (x² − 9) (x + 2)

f(x) = x (x − 3) (x + 3) (x + 2)

Answer:C

Step-by-step explanation:

The required solution to the inequality is the region before x ≤ 7.

Given that,
The solution to the inequality 3x + 9 ≤ 30, is to be determined.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here, the inequality,
3x + 9 ≤ 30
subtracting 9 from both sides,
3x ≤ 21
Divide by 3 on both sides,
x  ≤  7
The solution to the inequality is the region before x ≤ 7.

Thus, the required solution to the inequality is the region before x ≤ 7.

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Answer:

x = 16

Step-by-step explanation:

they are equal angles

Please mark brainliest :)

Answer:

X=16

Step-by-step explanation:

Answer:

The shape is not there so i can not solve it

Step-by-step explanation:

Answer:

B ≈ 55. 71°

A = 34.29°

Step-by-step explanation:

The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.

Let us find angle B

using SOHCAHTOA principle

tan B = opposite.adjacent

tan B = b/a

tan B = 22/15

tan B = 1.46666666667

B = tan⁻¹ 1.46666666667

B = 55.7131230228  °

B ≈ 55. 71°

Let us find angle A

The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.

angle A = 180° - 90° - 55.71°

angle A = 34.29°

Answer:

A

Step-by-step explanation:

y=3x+55

Answer:

18x-5≤-45

Step-by-step explanation:

The statement '5 less than 18 times the number x is less than or equal to -45' translates to the inequality '18x - 5 ≤ -45'. This can be solved to yield 'x ≤ -20/9'.

The phrase '5 less than 18 times the number x' can be written as an expression '18x - 5'. The complete inequality saying this is less than or equal to -45 can thus be written as '18x - 5 ≤ -45'.

To clarify, this means that if you were to multiply a number 'x' by 18, and then subtract 5, the resulting number should be less than or equal to -45.

This is a type of linear inequality and can be solved in a similar way to a linear equation. Subtracting 5 from both sides yields '18x ≤ -40', and then dividing by 18 gives the solution 'x ≤ -40/18' or 'x ≤ -20/9' in simplified form.

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To represent the situation, we can define a function called calculateLuggageCost that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. The function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.

To represent the situation, we can define a function that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. Let's call this function calculate Luggage Cost. Here's how we can define it:

This function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.

Answer:

The number is 35.

Step-by-step explanation:

Let the number be x

Twice the number: 2*x = 2x

Twice the number decreased by 20: 2x - 20

2x - 20 = 50

Add 20 to both sides

2x - 20 +20 = 50 + 20

2x = 70

Divide both sides by 2

2x/2 = 70/2

x = 35

Answer:

p=7

Step-by-step explanation:

What you need to do here is to isolate p.

This way, you can find the value of p.

8p=56

We can divide both sides by 8 to make this work.

This will isolate p while keeping the equation true.

8p/8=p

56/8=7

Therefore, p=7

Answer:

93

Step-by-step explanation:

Answer:

Step-by-step explanation:

93

Answer: After 20 days

Step-by-step explanation: you have to find the greatest common multiple so that the number is a multiple for each of them

since 10 is multiple of 5 you have to find the lcm of 10 and 4 or 5 and 4 which is still 20

so just multiply them and if she swims and does cycles every 10 days then you know that if she is swimming she is cycling, but if she is cycling she might not be swimming. So if running is 4 days then just multiply 4*5 = 20