help please i am stuck

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

[tex]P=5l[/tex] where l is the side length

Plug in the side length 7.6 cm

[tex]P=5(7.6)\\P=38[/tex]

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

[tex]A=\frac{1}{2} Pa[/tex]

Plug in the perimeter (38) and the apothem (5.2)

[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

➳ 0.

➳ 18 over 23.

Answer:

0 is the correct answer if you won't understand than contact me

Answer:

176.25in^2

Step-by-step explanation:

You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.

7.5*16=120 (left side)

7.5*7.5=56.25 (right side)

Now we add them to get the full area:

120+56.25=176.25in^2

Answer:

Step-by-step explanation:

 3x - (3x) - 2 = 3x + 3x - 2    {Combine like terms}

                       = 6x - 2    

I-100I + 3x - [-4x] = 100 + 3x + 4x

                            = 100 + 7x

I -100 I  means absolute value of 100 = 100

Answer:

Just right and Isosceles

Step-by-step explanation:

Answer:

It is Right angled and Isosceles triangle

Answer:

The 7th term is 1856.

Step-by-step explanation:

The equation of this is n * 2 for the next of every variable. So with this knowledge,

first term = 29

Multiply by 2.

second term = 58

Multiply by 2.

third term = 116

Multiply by 2.

fourth term = 232

Multiply by 2.

fifth term = 464

Multiply by 2.

sixth term = 928

Multiply by 2.

seventh term = 1856.

Answer:

The range is 17

Step-by-step explanation:

67, 63, 72, 62, 64, 79, 74, 66

To find the range of the data, take the largest number and subtract the smallest number.

The largest number is 79

The smallest number is 62

79-62 = 17

The range is 17

Answer:

x=9

Step-by-step explanation:

Use the triangle Similarity theorem. First, make a proportion.

--------------------------------------------------------------------------------------------

21 / 77 is equal to 30 / 11x + 11         then solve.

Step 1: Cross-multiply.

21*(11x+11)=(30)*(77)

231x+231=2310

Step 2: Subtract 231 from both sides.

231x+231−231=2310−231

231x=2079

x=9

HOPE THIS HELPS!

Answer:

44.375sq.cm

Step-by-step explanation:

The Area of the figure = Area of the square - Area of the quadrant

Area of the square = 8 * 8 = 64sq. cm

Area of the quadrant = πr²/4 = 3.14(5)²/4

Area of the quadrant = 19.625sq.cm

Area of the figure = 64 - 19.625

Area of the figure  = 44.375sq.cm

Answer:

120cm³

Step-by-step explanation:

The volume of a rectangular prism is the length multiplied by the width and height. You may not have multiplied correctly or multiplied all of the dimensions.

So, let's multiply our dimensions, 4cm × 6cm × 5 cm.

4 · 6 · 5 = 120

4 times 6 equals 24, then 24 times 5 is 120.

The volume of the box, then, is 120cm³. Remember to use the ³ (cubed) sign for volume.

Good luck :)

Answer:

Below in bold.

Step-by-step explanation:

As they are similar corresponding sides are in the same proportion so

3/2 = BC/3

2BC = 3*3

2BC = 9

BC = 4.5.

3/2 = 5/DF

3DF = 2*5

DF = 2*5 / 3

= 3.33...

Perimeter of ABC = 3 + 4.5 + 5 = 12.5.

Perimeter of DEF =  2 + 3 + 3.33.. = 8.33...

Answer:

BC = 4.5 cm

DF = 10/3 cm

Step-by-step explanation:

Corresponding sides of similar triangles are in same ratio

[tex]\frac{BC}{EF}=\frac{AB}{DE}\\\\\frac{BC}{3} =\frac{3}{2}\\\\BC = \frac{3}{2}*3\\\\BC = \frac{9}{2}\\\\BC = 4.5 cm[/tex]

[tex]\frac{DF}{AC}=\frac{DE}{AB}\\\\\frac{DF}{5}=\frac{2}{3}\\\\DF = \frac{2}{3}*5\\\\DF = \frac{10}{3}[/tex]

Perimeter of ΔABC = 3 + 5 +4.5 = 12.5cm

Perimeter of ΔDEF = 2 + 3 + 3.3 = 8.3 cm

The correct letter that match each summation expression are;

[tex]\displaystyle \sum\limits_{i=1}^n[/tex] is equal to c

[tex]\displaystyle {\sum\limits_{i=1}^n i}[/tex] is equal to b

[tex]\displaystyle \sum_{i=1}^n c[/tex] is equal to d

[tex]\displaystyle\sum_{i=1}^n i^3[/tex] is equal to e

[tex]\displaystyle \sum\limits_{i=1}^n i^2[/tex]is equal to a

The summation expression indicates the sum of all values of a series of a function within a specified limit of values.

The equation for the sum of a constant c and the ith term of an of a sequence of numbers is equivalent to the product of the constant and the sum of the terms of the sequence as follows;

[tex]\sum\limits_{i=1} ^n {c\cdot a_i} = c\cdot \sum\limits_{i=1} ^n {a_i}[/tex] the correct option is c

The sum of ith terms from i = 1 to i = n is an arithmetic series with the formula;

Sₙ = (n/2)·[2·a + (n - 1)·d]

Where; a = The first term = 1

d = The common difference = 1

Therefore;

Sₙ = (n/2)·[2 + (n - 1)] = n + n·(n - 1)/2 = (2·n + n² - n)/2

(2·n + n² - n)/2 = (n² + n)/2 = n·(n + 1)/2

Therefore;

[tex]\sum\limits_{i=1}^n i = \dfrac{n\cdot (n + 1)}{2}[/tex] The correct option is b

The sum of n number of a constant, c is c·n, therefore;

[tex]\sum\limits_{i = 1}^n c = c\cdot n[/tex] The correct option is d

[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = (2³ - 1³) + (3³ - 2³) + ... + ((n + 1)³ - n³) = (n + 1)³ - 1³

(n + 1)³ - 1³ = n³ + 3·n² + 3·n

[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = n³ + 3·n² + 3·n

However, we get;'

[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = [tex]\sum\limits_{i=1}^n [ i^3 + 3\cdot i^2 + 3\cdot i+ 1-i^3][/tex]

[tex]\sum\limits_{i=1}^n [ i^3 + 3\cdot i^2 + 3\cdot i+ 1-i^3][/tex] = [tex]\sum\limits_{i=1}^n [ 3\cdot i^2 + 3\cdot i+ 1][/tex] = 3·S₂ + 3·S₁ + n

Where;

[tex]S_2 = \sum\limits_{i=1}^n i^2[/tex]

[tex]S_1 = \sum\limits_{i=1}^n i[/tex] = n·(n + 1)/2

[tex]\sum\limits_{i=1}^n [ 3\cdot i^2 + 3\cdot i+ 1][/tex] = n³ + 3·n² + 3·n = 3·S₂ + 3·S₁ + n

3·S₂ = n³ + 3·n² + 3·n - (3·S₁ + n) = n³ + 3·n² + 3·n - (3·(n·(n + 1)/2) + n)

n³ + 3·n² + 3·n - (3·(n·(n + 1)/2) + n) = n³ + 3·n²/2 + n/2

3·S₂ = n³ + 3·n²/2 + n/2

S₂ = n³/3 + 3·n²/6 + n/6 = (2·n³ + 3·n² + n)/6

S₂ = (2·n³ + 3·n² + n)/6 = n·(2·n² + 3·n + 1)/6

S₂ = n·(2·n² + 3·n + 1)/6 = n·(2·n + 1)·(n + 1)/6

S₂ = n·(2·n + 1)·(n + 1)/6

[tex]S_2 = \sum\limits_{i=1}^n i^2 = \dfrac{n\cdot (2\cdot n + 1)\cdot (n + 1)}{6}[/tex] The correct option is; a

(n + 1)⁴ - n⁴ = 4·n³ + 6·n² + 4·n + 1

Therefore;

(n + 1)⁴ - 1⁴ = 4·S₃ + 6·S₂ + 4·S₁ + n

4·S₃ = (n + 1)⁴ - 1⁴ - (6·S₂ + 4·S₁ + n)

(n + 1)⁴ - 1⁴- (6·(n·(2·n + 1)·(n + 2)/6) + 4·(n·(n + 1)/2) + n) = (n + 1)·(3·n² - n + 1)

4·S₃ = n²·(n + 1)²

S₃ = n²·(n + 1)²/4

[tex]S_3 = \sum\limits_{i=1}^n i^3 = \dfrac{n^2\cdot (n+1)^2}{4}[/tex] The correct option is e

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Answer:

t = - 24

Step-by-step explanation:

Given t varies inversely as a then the equation relating them is

t = [tex]\frac{k}{a}[/tex] ← k is the constant of variation

To find k use the condition t = 2 when a = - 4

2 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )

- 8 = k

t = [tex]\frac{-8}{a}[/tex] ← equation of variation

When a = [tex]\frac{1}{3}[/tex] , then

t = [tex]\frac{-8}{\frac{1}{3} }[/tex] = - 24

9514 1404 393

Answer:

  (0, 1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).

Answer:

y=mx-c

Step-by-step explanation:

follow to explain

Answer:

B. 6.3 inches.

Step-by-step explanation:

I'll use 2πr for both sides of this.

Pie:

2 * 3.14 * 8

16 * 3.14

50.24 inches for the pie

Container:

2 * 3.14 * 9

18 * 3.14

56.52 inches for the container

Difference:

56.52 - 50.24

6.28-inch difference, which rounds to 6.3 inches. B is our answer.

Answer:

The problem seems to be incomplete, after an online search I couldn't find the complete question, to be able to solve the question, I will assume that the known measure is the width W.

For a rectangular prism of length L and width W, the surface area is calculated as:

S = W*L

For the assumption we took, we have:

W = 39.5ft

And we also know that S = 158 ft^2

And we want to find the missing dimension, in this case is L, then we need to solve:

158 ft^2 = W*L

We just need to divide both sides by the known measure, W

We get:

(158 ft^2)/W = L

So you just need to replace the known value, and can find the missing one.

Answer:

[tex]slope=-3[/tex]

Step-by-step explanation:

[tex]m=\frac{change(y)}{change(x)}[/tex]

Use two points,

(-1,0)(0,-3)

[tex]m=\frac{0-(-3)}{-1-0}[/tex]

[tex]m=\frac{3}{-1}[/tex]

[tex]m=-3[/tex]

Answer:

-3

Step-by-step explanation:

Answer:

The correct answer is 575.

Step-by-step explanation:

Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.  

Answer:

23

Step-by-step explanation:

Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)

Answer:B

Step-by-step explanation:

Answer:

562,148,900 =

500,000,000

+ 60,000,000

+ 2,000,000

+ 100,000

+ 40,000

+ 8,000

+ 900

+ 0

+ 0

Answer:

Hello!

First we need to understand what expanded form is!

Expanded form is a way of writing a number to see the value of each digit. An example is:

111

100 + 10 + 1 = 111

So we must find the value of 562,148,900, in expanded form.

First we would find the first digit, and separate it from the other digits.

5

Then, we would count the digits behind that, and add it to the right of the five, in the form of zeroes.

500,000,000

We would continue this process for each digit, and then we would put them in addition form.

Your final answer would be,

 500,000,000  

60,000,000  +

2,000,000  +

100,000          +

40,000          +

8,000          +

900                  +

0                  +

0                  +

__________________________

             562,148,900

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