A regular pentagon has sides of 10 cm. Find the radius of the largest circle which can
be drawn inside the pentagon.​

Answer:

50 cm² and 56 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the length of the diagonals )

(2)

A = [tex]\frac{1}{2}[/tex] × (8 + 2) × (5 + 5)

   = 0.5 × 10 × 10

   = 5 × 10

    = 50 cm²

(3)

A = [tex]\frac{1}{2}[/tex] × (12 + 2) × (4 + 4)

   = 0.5 × 14 × 8

   = 7 × 8

    = 56 cm²

Answer: D. Point A

Step-by-step explanation:

It is the solution because it falls on the point where the lines intersect and since they intersect they can have only one solution

Answer:

isn't it just point A (answer choice D) because, like other person said, the two lines intersect at point A?

Step-by-step explanation:

correct me if I'm wrong

Answer:

Step-by-step explanation:

6) Let John's sister age be x

John's age = [tex]\frac{1}{2}x+7[/tex]

[tex]\frac{1}{2}x+7 = 35\\[/tex]      {Subtract 7 from both sides}

[tex]\\\frac{1}{2}x=35-7\\\\\frac{1}{2}x=28\\\\x=28*2[/tex]

x = 56

His sister's age = 56 years

7) Longest side is hypotenuse. Use Pythagorean theorem.

hypotenuse² =base² + altituse²

15² = 12² + 9²

225 = 144 + 81

225 = 225

So, Pythagorean theorem  is satisfied. So, 15cm , 12 cm ,9 cm will make a right angled triangle.

9) q = -1

7p + 5q -3 = 0

7p + 5*(-1) - 3 = 0

    7p -5 - 3 = 0        {Combine like terms}

            7p - 8= 0              

                 7p = 8           {Divide both sides by 7}

                  p = 8/7

10) 8 - 3(x + 1) = 5 {Distributive property: a(b + c) = a*b + a*c}

     8 - 3x - 3 = 5          {Combine like terms}

          -3x + 5 = 5           {Subtract 5 from both sides}

               -3x = 5 - 5

              -3x = 0          

                x = 0

11)    -20x⁴  - 7x³  +  5x²   + 20 - ( 8x⁴  -7x²  + 29x - 17)

      = -20x⁴  - 7x³  +  5x² + 20 -  8x⁴  + 7x²  - 29x + 17

       = -20x⁴ - 8x⁴  - 7x³ + 5x² + 7x² - 29x + 20 + 17

      = -28x⁴ -7x³ + 12x² - 29x + 37

Answer:

1.B 2.H 3. A

Step-by-step explanation:

1. First, find out the percentage of people who voted for Mathematika in survey one.

The total amount of people who voted is 14+17+19, which equals 50. 17/50 people voted for Mathematika, 17/50 = 0.34.

To find out how many people out of 300 will vote for Mathematika, multiply the 0.34 by 300. 300 x 0.34 = 102, so 102 people will vote for Mathetika.

2. You use the same logic for number 2. 14+17+19+20+19+11 = 100, so 100 people voted in total. 34 people voted for Infinitus. 34/100 = 0.34. Multiply 0.34 by 750 to get 255 people will vote for Infinitus.

3. The mean = the average. To find the average, add up all of the numbers, then divide that number by the amount of numbers added together.

7+9+11+13+15 = 55

5 numbers were added together so you divide 55 by 5

55/5 = 11. The mean is 11

9+10+11+12+13 = 55

There were 5 numbers added together

55/5 = 11. Both the means were the same

Answer:

Step-by-step explanation:

∠TUV = 2×(90°-108°/2)

= 2×(90°-108°/2)

= 72°

Answer:

A i hope its right

Step-by-step explanation:

Answer:

7 inches long

Step-by-step explanation:

Dimension of rectangle :

14 inches long ; 4 inches wide

Width of similar rectangle = 2 inches

Ratio of width :

2 : 4 = 1/2

Using the ratio, the length of similar rectangle will be :

1/2 * length of rectangle

1/2 * 14

= 7 inches long

Answer:

62.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

a.) t≥20

t being what tom can spend

he can spend 20 dollars or less on the present

Answer:

Step-by-step explanation:

x < -12, so x+12 < 0

| x-(-12) | = | x+12 | = -x-12

Answer:

Step-by-step explanation:

Answer:

$107

Step-by-step explanation:

Total amount paid = flat fee + price per mile x total mile

$7 + 50($2) = $107

Answer:

A) x = 68.55

Step-by-step explanation:

The initial value of a function can be the value of the function when x = 0.

So we have a linear equation:

f(x) = a*x + b

with a slope of 10, then:

f(x) = 10*x + b

and we know that:

f(0) = 1 = 10*0 + b

        1 = b

Then the linear function is:

f(x) = 10*x + 1

And we have an exponential function g(x)

A general expoential function is written as:

A*(r)^x

where r is the growth factor, here we know that it is equal to 1.1

Then:

g(x) = A*(1.1)^x

And we know that:

g(0) = 1, then:

A*(1.1)^0 = A*1 = 1

Then A = 1

g(x) = (1.1)^x

So our two functions are:

f(x) = 10*x + 1

g(x) = (1.1)^x

We want to find the value of x such that the exponential function's output exceeds the linear one. This is kinda hard to do analytically, so we can do it graphically.

Below you can see the graphs of both functions, where we can see that for x = 68.55, the exponential function's output exceeds the one of the linear function.

If we want to find the point analytically, we need to solve:

10*x + 1 = (1.1)^x

Which is a transcendental equation, which means that can not be solved in close form. So usually we solve them graphically.

Here we can also check that for the found value:

g(68.55) = (1.1)^68.55 = 687

f(68.55) = 10*68.55 + 1 = 685.6

So this is not the exact value at which g(x) overcomes f(x), but is a good approximation.

Answer:

he circle has a radius of π inches, so use a radius of about 3.1 inches.

Step-by-step explanation:

The circumference of a circle can be described as the linear distance round the circle

The circumference of a circle = 2nr

n = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

If diameter = n2

diameter = 3.14 x 2 = 6.28

Radius = 1/2 x diameter = 6.28/2 = 3.1

Answer:

He score -12 for the 6 holes

Step-by-step explanation:

6 * -2 = -12

hi

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

Using Pythagoras theorem for right angled triangle,

x^2 = 14^2 + 15^2

X= ✓ 196 + 225

X= ✓ 421

X=20.5

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On​ Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

Answer:

Step-by-step explanation:

Answer:

[tex] \boxed{ \tt{s = 5x + 6y}}[/tex]

Step-by-step explanation:

[tex]let \: the \: perimeter \: be \to p \\ let \: the \: side \: be \to s \\ since \to \: p = 4s \\ then \to \: 4s = 20x + 24y \\ hence \to \: 4s = 4(5x + 6y) \\ therefore \to \: s = 5x + 6y[/tex]

Answer:

The answer is: 1 43/48

~hope this answered your question correctly, have a gr8 day my friend!~

Step-by-step explanation:

Answer:

1/2 is the answer

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

c^2=a^2+b^2 ( where c is the hypotenuse and a and b are the legs of a right triangle)

c^2=15^2+8^2

c^2=225+64

c^2=289

c=17 feet

Answer:

60 mph (miles per hour)

Step-by-step explanation:

540 ÷ 9 = 60

Sorry if this answer is short. I want to get as much answers before Exam Mode starts.

Answer:

9xy-3x-3y+1

Step-by-step explanation:

3y(3x-1)-1(3x-1)

Answer:

76 minutes

Step-by-step explanation:

The computation is shown below:

Since mark would take 1 hour and 15 minutes i.e. 60 + 15 = 75 minutes

And, emily takes for a minute = 1 minute

So, the number of minutes taken by Mars to drive is

= 75  + 1

= 76 minutes

The measurement 345.58 cm² is the closest to the total surface area of the can in square centimeters.

The correct option is A.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A can in the shape of a cylinder has a diameter of 10 centimeters and a height of 6 centimeters.

The surface area of the cylinder,

= 2π r h + 2π r²

= 2 (3.14)(5)(6) + 2 (3.14) (25)

= 345.4 square centimeters.

Therefore, 345.58 cm² is the closest value.

To learn more about the cylinder;

https://brainly.com/question/16134180

#SPJ6

Answer:

5 yards

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

mark me brainy plz