What is the area of the following polygon?
I have tried 24, 25 and 26 and none of worked and I am at a loss.

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units².

What is circle ?

the side measurements of the square is 2.75 units.

the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

Let's use the formula for finding radius given the circumference.

[tex]Radius = \frac{circumference}{2\pi }[/tex]

the circumference because our circumference is 11 units.

Radius = [tex]\frac{11}{2pi }[/tex]

put π = 3.14 * 2

radius =  11 / 2 * 3.14

radius = 11/  6.28 ⇒ 1.75

the area of the circle = [tex]\pi r^{2}[/tex]

area = 3.14 * (1.75)²  ⇒9.61325

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61325 = 9. 62

Therefore, the area of the circle is 9.62 units².

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Answer:

-1

Step-by-step explanation:

Since we have the linear equation, 2x-5, and it's increasing since the slope is positive, that means we want the maximum x-value, to find the maximum y-value, or possible value.

This means, we want to find the maximum x-value of 2x+5 that is less than or equal to 9, and since we want the maximum x-value, we want the right side to also be the maximum, and since we have a less than or equal to symbol, we can have the equation equal to 9, which is the make value. So we get the following equation

[tex]2x+5=9\\[/tex]

Subtract 9 from both sides

[tex]2x=4[/tex]

Divide both sides by 2

[tex]x=2[/tex]

This is the maximum x-value we can get from the inequality, and now we plug this into the equation 2x-5

[tex]2(2)-5[/tex]

4-1

-1

So the maximum value is -1

Answer:5.50 a hour

Step-by-step explanation:

Answer:

D) 14

Step-by-step explanation:

12+12+12 is 36 we don't know hold old the fourth sibling is so they are X

to get the average of 12.5 you need to add all the siblings ages then divide it by 4

(36+X)/4=14 so the other sibling is 14

Answer:

B

Step-by-step explanation:

12.5x3=37.5

37.5 +11.5 =49

49÷4 =12.25

Answer:

y > 3x + 2

Step-by-step explanation:

The slope is 3.       slope = (-7 - 2)/(-3 - 0) = -9/(-3) = 3

The y-intercept is 2.

The equation of the line is y = 3x + 2

The shading is "above" the line.

Answer: y > 3x + 2

Answer:

The ribbon is 5m long.

The length of the piece = 3 ^ 4 / 5 m.

The length of the remaining piece.

We can simply solve this mathematical problem by using the following mathematical process.

First of all, we have to convert the length of the cut piece into simple decimal value.

Length of cut piece =3^ 4 / 5 = (3 * 5 + 4) / 5 = 19/5 = 3.8m

Length of the remaining ribbon = Intital length cut length = 5 - 3.8 = 1.2m = 12/10 - m = 6/5 * m = 1 1/5 m

Answer: 1 1/5

Step-by-step explanation:

5 - 3 = 2 - 4/5 = 1 1/5

9 hours long after the second runner started will the second runner overtake the first runner.

What does it mean to do speed?

Runner I = 6 mph

Runner II = 7 mph

Difference in time= 90 minutes

Train A will have covered 9 miles before Runner II starts

catch up distance= 9 miles

catch up speed = 7-6 mph

catch up speed = 1 mph

Catchup time = catchup distance/catch up speed

catch up time= 9/1

catch up time= 9 hours

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5. m∠C = 95°

6. m∠C = 70°

7. The other acute angle in the right triangle = 70°

8. m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 110°

11. m∠B = 70°

12. m∠Z = 70°

A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:

5. m∠C = 180 - 50 - 35 [triangle sum theorem]

m∠C = 95°

6. m∠C = 180 - 25 - 85 [triangle sum theorem]

m∠C = 70°

7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]

The other acute angle = 70°

8.  m∠C = 180 - 55 - 55 [isosceles triangle]

m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 50 + 60

Measure of the exterior angle at ∠C = 110°

11. m∠B = 115 - 45

m∠B = 70°

12. m∠Z = 180 - 35 - 75

m∠Z = 70°

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Answer:

1.89

Step-by-step explanation:

34 ÷ (14 − 5) × 2

34 ÷ (9) × 2

34 ÷ 18

1.89

Numerical expression:

numerical expression is a phrase involving numbers.

In mathematics, a numerical expression is a set of numbers that have been written together by utilizing arithmetic operators addition, subtraction, multiplication, and division.

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By  evaluating  the expression 34 ÷ (14 − 5) × 2  we get = 1.89

Children can use the acronym BODMAS to help them remember the proper sequence to carry out mathematical operations when solving problems. The abbreviation BODMAS stands for B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction.

A numerical expression is a sentence that uses numbers. A numerical expression in mathematics is a group of integers that have been combined using the addition, subtraction, multiplication, and division arithmetic operators.

Appling the BODMAS

= 34 ÷ (14 − 5) × 2

= 34 ÷ (9) × 2

= 34 ÷ 18

= 1.89

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The linear equation y = -x+45 models the scenario.

Solving the linear equation, it exists found that Hans will paint 16 snapdragons.

Since the rate of change exists always the exact, this question exists modeled by a linear equation.

Linear equation: y = mx + b

Where, m exists the slope and b exists the y-intercept.

To find the slope, we have to get two points (x, y), and the slope exists  given by the change in y divided by the change in x.

Points: (11, 34) and (12, 33).

Change in y: 33 - 34 = -1

Change in x: 12 - 11 = 1.

Slope: m = -1/1 = -1

The equation of the line exists y = -x + b

Replacing one of the points, the y-intercept can be found.

Point (11, 34) means that when x = 1, y = 34.

y = -x + b

34 = -1+b

b = 45

Therefore, the equation y = -x+45 models the scenario.

29 daisies mean that y = 29, we have to estimate the value of x for which y = 29.

y = -x+45

simplifying the equation,

29 = -x+45

x = 45 - 29 = 16

The value of x = 16

Therefore, Hans will plant 16 snapdragons.

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Answer:

The equation ✔ x = 45 – y models the scenario.

Hans will plant✔ 16 snapdragons

Step-by-step explanation:

Answer:

n=2

Step-by-step explanation:

Create an equation.

9n=18

Divide 9 from both sides.

9n/9=18/9

n=2

Hope this helps!

Step-by-step explanation:

the max. value is when the smaller set (A) is completely contained in the larger set (B).

then n(A n B) is n(A) = 50.

the set intersection between A and B cannot get bigger than that. or A gets bigger ...

after all, the intersection means it is a set of all elements that exist in BOTH sets.

but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.

the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.

in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.

Answer:

A ≈ 75 in²

Step-by-step explanation:

the area (A) of the circle is calculated as

A = πr² ( r is the radius )

here r = 5 and using 3 for π , then

A = 3 × 5² = 3 × 25 = 75 in²

Answer:

75 in^2

Step-by-step explanation:

Since the formula to find the area of a circle is already up, we can use that to solve the question.

The image gave us the value of the radius right away, so the question will be a lot easier to solve.

--> The reason why the radius is needed is that the 'r' in the formula means radius. We need the value of the radius to find the area of the circle.

Now, we can just replace r with 5.

--> A = 25 [tex]\pi[/tex]

Since the question told us to replace [tex]\pi[/tex] with 3, we can do that.

--> A = 25 x 3

--> A = 75

We can conclude that the area of the circle is 75 in^2.

Answer:

3,360

Step-by-step explanation:

so, to start with, there are 8 over 5 permutations (the sequence of the picked beads matters, but no repetitions of beads are possible) to pick 5 items out of 8 available ones.

that is

8! / ((8-5)!) = 8! / 3! = 8×7×6×5×4 = 6,720

rotations and reflections are the same thing here for a 1- dimensional sequence.

1 2 3 4 5 rotated around the middle (3) is

5 4 3 2 1

a reflection is again

5 4 3 2 1

so, we need to consider that instead of 8 beads for the first choice we have only 4 beads to choose from to leave the other 4 beads as choices for the last position.

once we have this established, it is sure that the first and the last position cannot have mirrored beads in any permutation. and therefore rotational or reflectional permutations are impossible.

in other words, half of the possible permutations would be rotations/reflections, and we need to eliminate them.

so, the calculation is

4×7×6×5×4 = 8×7×6×5×4/2 = 6,720/2 = 3,360

Answer:

C

Step-by-step explanation:

Express functions as a ratio: put one in the numerator and the other in the denominator

[tex]\frac{12- \frac{2}{3}t}{3-\frac{1}{8}t }[/tex]

We want to get rid of the fractions which would mean multiplying top and bottom by 3 and 8. (Remember to multiply both terms). The answer would result in C.

Answer:

Step-by-step explanation:

Solution

There are 36 possible ways to combine two dice. The ones you are interested in, are in the table below

Numbers less that 5 are   with their probabilities

Number    Probability    How done.

2                   1/36           1 + 1

3                   2/36          2 + 1      1 + 2

4                   3/36           2 + 2     1 +3    3 + 1

Total             6/36           1/6

Greater than 7

Number        Probability  How done

8                    5/36           6+2    2+6   5 +3    3+5     4 + 4

9                    4/36            6+3     3 + 6     5+4    4+ 5  

10                   3/36            6+4    4 +6      5 + 5

11                    2/36             5+6      6 + 5

12                   1 /36             6 + 6

Total              15/36            

Answer

15/36 + 1/6 = 15/36 + 6/36 = 21/36

Final Answer: 7/12

The account be worth in 7 months is 375.725 .

Amount (A) is the total money paid back at the end of the time period for which it was borrowed. The total amount formula in case of simple interest can also be written as: A = P(1 + RT)

Here, A = Total amount after the given time period.

Given that,

P = $350, R = 1.05%, T = 7 month

The simple interest equation uses "t" as years, but is just cycles, using an APR rate.

now, if we never mind "t" as years and just use it as an interest cycle, then we can say the rate is 1.05% and the period is 7 cycles.

A = P(1 + RT)

   = 350(1+1.05%×7)

   = 350(1+0.0105×7)

   = 350(1+0.0735)

   = 350×1.0735

A  = $375.725

Hence, The account be worth in 7 months is 375.725 .

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Answer:

68.54

Step-by-step explanation:

w + (w – 12 ÷ 22 • 3) • 7

10 + (10 – 12 ÷ 22 • 3) • 7

Parentheses first

(10 – 12 ÷ 22 • 3)

(10 – 36 ÷ 22)

(10 – 1.636)

(8.364)

-------

10 + (8.364) • 7

10 + 58.54

68.54

The value of the expression will be equal to 66.54. The correct option is  B.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is w + (w – 12 ÷ 2^ 2• 3) • 7 and the value of w is 10.

By substituting the value of w equal to 10 the value of the expression is,

E = w + (w – 12 ÷ 22 • 3) • 7

E = 10 + (10 – 12 ÷ 22 • 3) • 7

Solve the Parentheses first.

P = (10 – 12 ÷ 22 • 3)

P = (10 – 36 ÷ 22)

P = (10 – 1.636)

P = (8.364)

Solve further to get the final value.

E = 10 + (8.364) • 7

E = 10 + 56.54

E = 66.54.

Therefore, the value of the expression will be equal to 66.54.

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the expression is simplified to give - 39

Given the expression;

= 24- 4 to the power of 2 x 3+15

= 24 - (4^2 × 3 ) + 15

First, expand the bracket

= 24 - ( 16 × 3) + 15

Find the product of the bracket

= 24 - 48 + 15

From our knowledge of BODMAS, we add before we subtract

Now, let's add first

= 24 - 63

The, subtract

= - 39

The expression is simplified to - 39

Thus, the expression is simplified to give - 39

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Answer: they can buy about 8 dvds

Step-by-step explanation:

this is because 30 + 66 = 96 and if you do 96 divided by 12 it gives you 8

Check the picture below.

so the lateral area of the pyramid is really just the area of four triangles whose base is 10 and height is also 10, now, we're excluding the bottom because that's not lateral area.

[tex]\stackrel{\textit{area of four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{10}) \right]}\implies 2(100)\implies \text{\LARGE 200}~ft^2[/tex]

Step-by-step explanation:

I am not sure I can read the original expression right, the picture is too blurry for the small digits.

is it 3^(5/5) ?

or rather 3^(5/6) ?

in any case, you should know that a number written like this always has the structure

a^(b/c)

so,

a = 3

b = 5 (or whatever is the numerator or top of the fraction)

c = 5 (or whatever is the denominator or bottom of the fraction).

the denominator of a fraction in an exponent gives us the grade of root to be taken.

the numerator gives us the power of the base number.

and if the exponent is negative it would mean that the whole thing is a 1/... fraction.

like 3^-2 means 1/3².

Engine is currently in first gear as mentioned in question

Drive shaft speed be x

Answer:

700 rpm

Step-by-step explanation:

A driveshaft is a shaft that transmits mechanical power.

Its speed is measured in rpm (revolutions per minute).

Engine speed

Given engine speed:

Therefore, the drive-shaft speeds in the different gears are:

First gear

Drive-shaft speed = 2100 ÷ 3 = 700 rpm

Second gear

Drive-shaft speed = 2100 ÷ 1.6 = 1312.5 rpm

Third gear

Drive-shaft speed = 2100 rpm

Step-by-step explanation:

25 as binary number is

11001

1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25

25×2 = 50 = 11001 × 2 = 110010

multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.

and so, we see

110P = 110010

P = 010

FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.

so, the problem should have looked like

110P/10 = 11001

110P = 11001×10 = 110010

P = 010

Answer:

01

Step-by-step explanation:

From decimal to binary;

25/2==> 1 (remainder)

12/2===>0

6/2==>0

3/2===>1

1

=11001

Checking the answer;

11001

=1*2^4+1*2^3+0*2*2+0*1+1*2^0

=1*16+1*8+0+0+1*1

=16+8+0+0+2

=25

Answer: -4, -3, -2

Step-by-step explanation:

By inspection, we know [tex]x=-2[/tex] is a root.

We can thus rewrite the equation as

[tex](x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2[/tex]

Answer:

5 line of symmetry

Step-by-step explanation:

The maximum area of the enclosure is 562500 square feet

The function is give as:

V(x) = 1500x - x^2

Differentiate

V'(x) = 1500 -2x

Set to 0

2x = 1500

Divide by 2

x = 750

Substitute x = 750 in V(x) = 1500x - x^2

V(x) = 1500*750 - 750^2

Evaluate

V(x) = 562500

Hence, the maximum area of the enclosure is 562500 square feet

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The quadratic graph which has only one zero among the answer choices as given in the task content is; Choice B; y=x^2+8x+16.

It follows from simplification of quadratic equations in a bid to solve for their zeros by means of factorisation that;

The given quadratic equations in answer choice B can be evaluated for its zeroes as follows;

0=x²+8x+16

0 = x² +4x +4x +16

(x+4) (x+4) = 0

Hence, it follows that x = -4 is the only zero of the given quadratic graph in discuss and hence, Choice B is correct.

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