A trapezoid was made by joining a pentagon and a triangle. the dimensions of the trapezoid are- height: 1 feet, bases 1/2 feet and 1 1/2 feet. the dimensions of the triangle are- height: 1/2 feet, base 1/2 feet. what is the area of the pentagon

Answer:

$225 of birthday money

Step-by-step explanation:

he spent 20 percent (1/5) of the money on dog treats, and the remaining 80 percent (4/5) went to 3 different charities. If $60 dollars were given to each charity, that means a total of $180 dollars was given to charity. if 4/5 of the money is equal to $180, we can divide 180 by 4 to get $45 dollars. this means that 1/5 of the birthday money would be equal to $45 dollars. so to find 5/5, or 100% of the money, simply multiply $45 by the denominator, 5, to get the answer. the total birthday money received was $225 dollars, and $45 dollars of that was used for dog treats.

The amount of money Mr. Thompson received for his birthday, work backwards from how much he donated to charities after spending 1/5 on dog treats, resulting in $300.

To find out how much money Mr. Thompson received for his birthday, we will work backwards from the information given.

Let's assume he received x amount of money for his birthday.

He spent 1/5 of it on dog treats, so he spent (1/5)x on dog treats.

The remainder after buying the dog treats is (4/5)x.

Since he divided this among 3 charities, each charity received $60, so [tex](\frac{4}{5} )x = 3*60.[/tex]

Solving this equation, we find x = $300.

Hence, Mr. Thompson received $300 for his birthday.

Answer:

it is a rectangle because the shape has to coordinating sides and the y values on the top points are the same and that y values on the bottom points are also the same.

Step-by-step explanation:

hope this helps have a wonderful day

Answer:

Step-by-step explanation:

hello : look this solution

Final answer:

To find the width of a rectangular state park with an area of 84 square miles where the length is 2 miles longer than twice the width, we set up a quadratic equation and solve for the width. The width of the park is 6 miles.

Explanation:

The question involves solving a quadratic equation to find the width of a rectangular state park where the length is 2 miles longer than twice its width, and the area is 84 square miles. To solve this problem, let's let w represent the width of the park.

According to the problem, the length l can be expressed as:

l = 2w + 2

The area A of a rectangle is given by the formula:

A = l × w

Substituting the given area and the expression for the length, we have:

84 = (w)(2w + 2)

Which simplifies to:

84 = 2w² + 2w

And further simplifies to:

0 = 2w² + 2w - 84

Dividing the entire equation by 2 to simplify:

0 = w² + w - 42

Now, we solve this quadratic equation for w, the width of the park. Using the quadratic formula or factoring (if possible), we find the positive value of w, which could be the width of the park since a width can't be negative:

w = 6

So, the width of the park is 6 miles.

Answer:

4 1/2

Step-by-step explanation:

x/6 = 15/20

Cross multiply

X x 20 = 6 x 15

20x = 90

Divide both sides by 20

x = 90/20

x = 9/2

x = 4 1/2

Perimeter is 2l+2w in the case of a rectangle, so you would write:

2(4x - 4.25) + 2(7x +7)

Answer: The expression can be written as Perimeter = 22x + 5.5

Step-by-step explanation: The perimeter of a rectangle is given as 2(L + W), where L is the length and W is the width. In the question, the length L has been given as 7x + 7 while the width W has been given as 4x - 4.25.

Inserting the values of the length and the width, the perimeter can now be properly written as,

Perimeter = 2(L + W)

Perimeter = 2( {7x + 7} + {4x - 4.25} )

By collecting like terms we now have

Perimeter = 2(11x + 2.75)

Perimeter = 22x + 5.5

To find the percentile, sort the data, count the values below the given value, divide by the total number of values, and multiply by 100.

To find the percentile that corresponds to a specific age in a data set, you need to calculate the percentile rank. The percentile rank represents the percentage of values in the data set that are below the given value. Here are the steps to find the percentile:

For example, to find the percentile that corresponds to an age of 40 years old in the given data set, you would follow these steps:

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The value of x is 3.

Solution:

In the given triangle, a = 4, b = 3, x = ? and y = 2.25.

To find the value of x:

The image of the formula is attached below.

Angle bisector theorem:

An angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

[tex]$\frac{a}{b}=\frac{x}{y}[/tex]

[tex]$\frac{4}{3} =\frac{x}{2.25}[/tex]

Do cross multiplication.

9 = 3x

Divide by 3 on both sides,

3 = x

Switch the sides.

x = 3

The value of x is 3.

Answer:

x = 3

Step-by-step explanation:

4x - 3y = y - 12

If y = 6

4x - 3 x 6 = 6 - 12

4x -18 = -6

Add 18 to both sides

4x - 18 + 18 = -6 + 18

4x = 12

Divide both sides by 4

x = 12/4

x = 3

Question:

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

Answer:

The vertical asymptotes are x = 2 or x = -1

Solution:

Given that,

[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]

For vertical asymptotes, set the denominator to zero and then solve the quadratic equation

[tex]4x^2-4x-8=0\\\\Divide\ by\ 2\\\\x^2 - 2x - 4 = 0[/tex]

[tex]Split\ the\ middle\ term\\\\x^2+x-2x-2=0\\\\Group\ the\ equation\\\\(x^2 + x) - (2x + 2) = 0\\\\Factor\ the\ common\ term\\\\x(x + 1) - 2(x + 1) = 0\\\\(x + 1)(x - 2) = 0\\\\Therefore,\\\\x + 1 = 0\\\\x = -1\\\\And\\\\x - 2 = 0\\\\x = 2[/tex]

Thus the vertical asymptotes are x = - 1 and x = 2

Answer: x=-1 and x=2 because (this is where the function is undefined) name of horizontal asymptote (y=1/4) because (m=n)

Step-by-step explanation: on edge

Answer:

490 ft^2

Step-by-step explanation:

Base: 14 × 7 = 98 (×4 = 392)

Square faces: 7 × 7 = 49 (×2 = 98)

Add: 392 + 98 = 490

Answer:

256 to the 2nd power

Step-by-step explanation: you see 4 tothe 4th power right. your going to multiply 4x4 4 times. The answer is 256 and you add the 2 above it.Got it

Answer:

First, you know that a triangle has 180° total. So, you take 180-38-25 and that equals 117. So the corner inside the triangle is 117. So a straight line is also equal to 180. You take 180-117 and that is 63. 4x+3 = 63. You subtract 3 from both sides and get 4x = 60. To get x by itself you divide by 4 and x = 15.

Answer: kluczem część 3

Step-by-step explanation:

zadania z tych stron 4

The 1 copy makes the cost equivalent in two options and the cost of 1 copy is $41.

Step-by-step explanation:

The given information are that,

Elsa could use a printer in which it cost a $38 setup fee and $3 for each copy.

Elsa could go to a supply store in which it cost $36 up-front fee and $5 for each copy.

To find the same amount for certain number of copies in both the cases :

Let us assume that the number of copies be 'x'.

In the first case, the total cost will be = setup fee + cost for x copies.

⇒ Total cost = 38 + 3x

In the second case, the total cost will be = up-front fee + cost for x copies.

⇒ Total cost = 36 + 5x

To find the x value :

Equating the total cost of both the cases, we get

⇒ 38 + 3x = 36 + 5x

⇒ 38-36 = 5x-3x

⇒ 2 = 2x

⇒ x = 1 copy

Therefore, taking 1 copy make the two options equivalent in terms of cost.

The cost of 1 copy = 38+ 3(1) = 41 dollars.

Therefore, it would cost $41 for 1 copy.

Answer:

W= 2.1

Step-by-step explanation:

The solution to the equation 1.5 = 0.6( w + 0.4 ) is w = 2.1.

Given the equation in the question:

1.5 = 0.6( w + 0.4 )

To solve the equation 1.5 = 0.6(w + 0.4) for "w," first apply distributive property:

1.5 = 0.6( w + 0.4 )

Distribute 0.6 on the right side of the equation:

1.5 = 0.6(w) + 0.6(0.4)

Simplifying, we get:

1.5 = 0.6w + 0.24

Subtract 0.24 from both sides of the equation:

1.5 - 0.24 = 0.6w + 0.24 - 0.24

1.5 - 0.24 = 0.6w

1.26 = 0.6w

0.6w = 1.26

To solve for "w", divide both sides by 0.6:

0.6w / 0.6 = 1.26 / 0.6

w = 1.26 / 0.6

w = 2.1

Therefore, the value of w is 2.1.

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Answer is 3a²b (a + b)

Step-by-step explanation:

⇒ 3a² (ab²+b²) = 3a³b + 3a²b² = 3a²b (a + b)

Answer:

The answer is 8. :D Hope this helps!

Explanation Edit: The greatest common factor is 8. Out of all the like terms, 1, 2, 4, and 8, 8 is the greatest. The greatest term is 8 = The greatest common factor. 8 is the greatest common factor.

[tex]\large\text{Hey there!}[/tex]

[tex]\large\text{Greatest common factor (GCF) of 16 \& 24}[/tex]

[tex]\large\text{16: 1, 2 , 4 , 8 , \& 16}[/tex]

[tex]\large\text{24: 1 , 2 , 3 , 4 , 6 , 8 , 12 , \& 24}[/tex]

[tex]\large\text{Like terms of both of your numbers: 1, 2, 4, \& 8}[/tex]

[tex]\large\text{The GREATEST out of like terms is: 8}[/tex]

[tex]\boxed{\boxed{\large\text{Thus, your answer is :\boxed{\large\text{\bf{Your Greatest Common Factor is: \underline{8}}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

D arithmetc

Step-by-step explanation:

i think

Answer:

0.53

Step-by-step explanation:

If you want to make it simpler you can simplify it.

To make our lives more simpler lets use that route.

[tex]\frac{245}{360} =\frac{49}{75}[/tex]

Now you would divide:

0.53...

So, 0.53

Hope this helped!

Answer:

(8,5)

Step-by-step explanation:

5x-2y=30

lets substitute "8" as x and see where that takes us

5(8)-2y=30

40-2y=30

subtract 40 on both sides

-2y=-10

divide by "-2" on both sides

y=5

(8,5) is your answer

Answer:

asd

Step-by-step explanation:

Answer:

5.2683 x 10^4

Step-by-step explanation:

hope that help

Answer:

x = 10

Step-by-step explanation:

130 = 8x + 50

Step 1:  Solve for x

130 - 50 = 8x + 50 - 50

80 / 8 = 8x / 8

10 = x

Answer:  x = 10

Answer:

x=10

Step-by-step explanation:

8x+50=130

8x=80

x=10

Answer:

x = 2.5 y = 5

Step-by-step explanation:

Image and pre image are similar figures

4/2 = 5/x

x = 5/2 = 2.5

4/2 = (y+1)/3

6 = y+1

y = 5

First, lets find how many miles the cyclist can ride per minute (speed = distance/time).

18/45 = 0.4 miles per minutes

Second, lets find how many miles the cyclist can ride per hour.

0.4 * 60 = 24 miles per hour

Third, lets find how many miles teh cyclist can ride in 6 hours.

24 * 6 = 144 miles in 6 hours

Best of Luck!

Final answer:

Compound interest is the concept discussed in this question. It refers to the interest calculated on both the initial principal amount and any accumulated interest from previous periods.

Explanation:

The subject of this question is Mathematics. Specifically, it relates to the concept of compound interest. Compound interest is the interest that is calculated on both the initial principal amount and any accumulated interest from previous periods. In this case, Angela is choosing between having $1,000 now or investing it in a savings account to have $1,050 a year from now. The $50 earned is the result of the interest earned on the initial $1,000.

Answer:

3 meters

Step-by-step explanation:

Area of a Triangle

= 1/2 x b x h

Given

Base Length b = 2.5 meters

Area = 3.75 square meters

Height h = ?

Therefore

3.75 = 1/2 x 2.5 x h

3.75 = 2.5/2 x h

3.75 = 1.25 x h

Divide both sides by 1.25

3.75/1.25 = 1.25/1.25 x h

3 = h

h = 3 meters

The sail is 3 meters tall

Answer:

23

Step-by-step explanation:

Sum of angles = (n - 2) x 180

3780 = (n - 2) x 180             Divide both sides by 180

21 = n - 2

+ 2     + 2                              Add 2 to both sides

23 = n

The shape has 23 sides.

If this answer is correct, please make me Brainliest!

The polygon having the sum of the interior angles 3780° have 23 sides.

The inner of the two angles formed where two sides of a polygon come together is called the interior angle.

Given that, the sum of the interior angles of a polygon is 3780, we need to find the number of sides of the polygon,

We know that,

The formula for calculating the sum of interior angles is (n-2) × 180° where is the number of sides.

Therefore,

3780° = (n-2)×180°

n-2 = 3780° / 180°

n-2 = 21

n = 21+2

n = 23

Hence, the polygon having the sum of the interior angles 3780° have 23 sides.

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Answer:

y=x+7

Step-by-step explanation:

y-7=1(x-0)

y-7=x-0

y=x+7

Answer:

y=x+7

Step-by-step explanation:

You need a slope that is opposite the slope of equation y=-x-5. To do this you need to find the opposite reciprocal. For -1, the opposite reciprocal would be 1. So, your slope is going to be 1.

You need the line to pass through (0,7), which is a point on the y axis. b in y=mx+b is the y-intercept. So, you would make 7 your b.

By plugging in these numbers you end up with y = x + 7

Answer:

The measure of the arc CD = 64°

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°