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Given Information:

Circumference of circle = C = 37.68 cm

Required Information:

Diameter of circle = D = ?

Answer:

Diameter of circle = [tex]D = 11.99[/tex] [tex]cm[/tex]

Step-by-step explanation:

We know that circumference of a circle is given by

[tex]C=2\pi r[/tex]

Where r is the radius of circle.

The relation between radius and diameter is given by

[tex]r = \frac{D}{2}[/tex]

Substitute r into above equation of circumference.

[tex]C=2\pi (\frac{D}{2} )[/tex]

[tex]C=\pi D[/tex]

[tex]D = \frac{C}{\pi}[/tex]

[tex]D = \frac{37.68}{\pi}[/tex]

[tex]D = 11.99[/tex] [tex]cm[/tex]

Therefore, the diameter of the circle is 11.99 cm

Answer:

Step-by-step explanation:

Answer:

The answer would be 88 ft squared

Step-by-step explanation:

If you make the shape into a rectangle it would be 100 and  then subtract the amount that isn't filled in it would be 88.

The required area of the composite figure is 100 feet squared. The correct answer is option D.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

To find the area of the composite figure, we need to add up the areas of the two rectangles.

The first rectangle has dimensions of 10 feet by 6 feet, so its area is:

10 ft × 6 ft = 60 ft²

The second rectangle has dimensions of 10 feet by 4 feet, so its area is:

10 ft × 4 ft = 40 ft²

The total area of the composite figure is:

60 ft² + 40 ft^2 = 100 ft²

Thus, the area of the composite figure is 100 feet squared. The correct answer is option D.

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Answer:

9/41

Step-by-step explanation:

Cosine = adjacent/hypotenuse

The value of the ratio which represents the cosine of ∠G is, cos G = 40/41

We have to give that;

In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.

Now, By the formula;

⇒ cos θ = Base / Hypotenuse

Hence, We get;

⇒ cos G = GH / GF

⇒ cos G = 40/41

Therefore, the value of ratio which represents the cosine of ∠G is,

⇒ cos G = 40/41

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Answer:

2

Step-by-step explanation:

3-(4-3)=2

Step-by-step explanation:

To add fractions with the same demonator for example 3/8 + 2/8 you would add 3 +2 = 5 The numerator would be 5 and the demonator would stay the same. You would get an answer of 5/8

Answer:

Step-by-step explanation:

[tex]\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}\\\\=\frac{5}{8}[/tex]

If two fractions have same denominator, add the numerator and write the common denominator.

8.54

Simplest way to do it is using the Pythagorean Theorem

c^2 = a^2 + b^2

You want c. We can get a and b from the chart by seeing that the horizontal distance from A to B is 8 and the vertical distance is 3. Otherwise,

a = |-4| + 4 = 8, horizontal distance

b = |-5| + |-2| = 3, vertical distance

Then,

[tex]c = \sqrt{ {8}^{2} + {3}^{2} } = \sqrt{73} = 8.54[/tex]

Answer:

Sides:  6 cms

Diagonal: 8.49 cms

Step-by-step explanation:

In a square the possible measurements to calculate are its sides and its diagonal, therefore we calculate both:

The perimeter of a square is calculated as the sum of its four sides. This is defined as a figure that has four equal sides, then:

4/24 = 6

Therefore each side measures 6 cm.

For the diagonal, we use pythagoras since it corresponds to the hypotenuse of a right triangle that is formed by drawing the diagonal:

c ^ 2 = a ^ 2 + b ^ 2

c ^ 2 = 6 ^ 2 + 6 ^ 2

c ^ 2 = 36 + 36 = 72

c = 72 ^ (1/2)

c = 8.49

What the diagonal means is 8.49 cm.

Answer:

Step-by-step explanation:

y = x + 2  -------------(i)

y = -3x ----------------(ii)

substitute y = -3x i equation (i)

-3x = x + 2

-3x -x = 2

-4x = 2

x = 2/-4

x = -1/2

Substitute x = -1/2 in (ii)

y = -3 * -1/2

y = 3/2

Step-by-step explanation:

you have to first add and then divide with the percent you would need now try that

Answer:

1.25

Step-by-step explanati

312,50÷ 250

Answer: 18 meters

Step-by-step explanation:

The solution to 4.8 divided by 10,000 is 0.00048.

In Mathematics and Euclidean Geometry, an expression refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression;

4.8 ÷ 10,000

By rewriting in scientific notation form, we have:

[tex]4.8 \div 10^4[/tex]

By evaluating based on the exponent of 4, we have;

[tex]4.8 \times \frac{1}{10^4} \\\\4.8 \times 10^{-4}[/tex]

By rewriting as a decimal, we have:

0.00048.

Answer:

79/9 * pi

Step-by-step explanation:

First find the circumference of the entire circle

C = 2 pi r

C = 2* pi* 5

C = 10 pi

The degree of MPN is 360 - 44 = 316

The fraction of the circle is 316/360 =79/90

Multiply that by the total circumference

79/90 * 10 pi

79/9 * pi

Answer:

s = 11π/9 units

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle in radians.

Here the central angle is given as 44° and must be converted to radians:

44°       π

------ * ----- = 11π/45 radians

  1       180°

The length of arc MAN (not MPN) is    s = (5 units)(11π/45 radians), or

s = 11π/9 units

Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

Prime numbers refers to a whole number more than 1 whose only factors are 1 and itself.

Now, A whole number that may be split evenly into another number by multiplication is referred to as a factor.

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers.

Here, The number 2 is the only prime even number and hence no other prime number will be fall as an even number or a product from multiplication by 2.

Hence, Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

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Answer: no solution

Step-by-step explanation:

The exact solution of the equation graphed is i option D

(-1 1/5, 4 5/6)

How to find the solution

The solution of linear equations grapes is the point of intersection of the two straight lines

This point is traced as follows

Comparing with the given options, we have (-1 1/5, 4 5/6) as the best choice

Answer:

[tex]P(x\geq 7)=0.1886[/tex]

Step-by-step explanation:

The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.

So, the probability that x customers will order a nonalcoholic beverage is:

[tex]P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}[/tex]

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

[tex]P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}[/tex]

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

[tex]P(x\geq 7)=P(7)+P(8)+P(9)+P(10)[/tex]

Where:

[tex]P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011[/tex]

So, [tex]P(x\geq 7)[/tex] is equal to:

[tex]P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886[/tex]

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886

Answer:

0.625

Explanation:

The image below was not posted for the but is needed to anser the question.

Further Explanation:

Mohamed carried out 24 trials of a simulation

Therefore, Total frequencies = 24

To get number of frequency greater than 3 we have to use the result in the result in the graph to obtain the estimate. Look at the graph below, when you count the dots that are on number of boxes purchased greater than 3, you will get 15.

Therefore, Number of frequency greater than 3 = 15

P(more than 3 boxes) = 15/24 = 0.625

Answer:

(9,-2)

Step-by-step explanation:

hope i helped

Answer: the slope is 1 up or down and one left or right (if you go down its a left if you go up its a right)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

this line passes trought A(0,1) and B(-1,0) the slope is :

(YB - YA)/(XB -XA)

= (0-1)/(-1-0)  = -1/-1=1

other solution : the slope is tan x   when x the angle betwen x-axis and this line ...tanx = 5/5=1

Answer:

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

  ax^2 + bx + c = 0

___

It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

_____

* This is the standard form for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

Answer:

U = 71 degrees

Step-by-step explanation:

First you should set up an equation:

180 = b + (b - 19) + (180 - (b + 45))

Since there are 180 degrees in a triangle, set the sum of the angles equal to 180. And, since (u) and (b + 45) are supplementary angles that add up to 180, you can substitute (180 - (b + 45)) for (u).

Then, solve for (b):

180 = b + b - 19 + 180 - b - 45

180 = b + 116

64 = b

Find (b + 45):

64 + 45 = 109

Solve for (u):

180 - 109 = 71

u = 71

Answer:

2 less

3 more

Step-by-step explanation:

brainliest please

Anna opens her savings account with 'Y' dollars less than Alec's initial account amount, and she adds 'W' dollars more to her account each week compared to Alec.

Given that we want to compare the savings accounts of two students, Anna and Alec, let's assume that Alec opens his savings account with 'X' amount of dollars, and Anna opens hers with 'Y' amounts less than Alec, making her initial amount 'X-Y' dollars. Additionally, if Alec adds 'Z' dollars per week to his account, but Anna adds 'W' dollars more than Alec each week, Anna would be adding 'Z+W' dollars to her account weekly.

So, to fill in the blanks, you could say: Anna opens her savings account with 'Y' less than Alec used to open his account. Anna adds 'W' more per week to her account than Alec adds to his. By comparing this way, we can look at the differences in both the initial investment and the weekly contributions for each of the students' savings accounts.

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Answer:

B) 16x + 12

Step-by-step explanation:

4(5x + 3) − 4x

= 20x + 12 - 4x

= 20x - 4x + 12

= 16x + 12

Answer:

Step-by-step explanation:

We want k such that ...

  PHP = k·USD

Then the value of k is ...

  PHP/USD = k = 12,451.60/350

  k = 35.576

__

700 USD will convert to twice as much as 350 USD, so ...

  700 USD = 700·35.576 PHP = 24,903.20 PHP

The constant of proportionality is 35.58. When you have 700 USD to convert, you will receive 24906.00 PHP.

To find the constant of proportionality, we can use the formula:

k = y / x, where k is the constant of proportionality, y is the dependent variable (number of Philippine Pesos received), and x is the independent variable (number of US Dollars).

In this case, we have:

k = 12451.60 / 350 = 35.58 (rounded to 3 decimal places)

Now, to find the amount of PHP given 700 USD to convert, we can use the same formula:

PHP = k * USD

PHP = 35.58 * 700 = 24906.00 (rounded to 2 decimal places)

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Answer:

reflection

Step-by-step explanation:

skraight up homie.

The type of transformation would move figure 1 onto figure 2 is Dilation.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

As, from the figures

Figures 1 and 2 can be properly observed to reveal that they have similar shapes to one another.

Accordingly, figure 1 is a bigger version of figure 2, and vice versa.

As a result, dilation and specifically enlargement is the transformation employed to convert figure 2 to figure 1.

Hence, the transformation is Dilation.

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To find the Length of Polygon Sides ('a') of a square polygon with an area of 48 mi², we apply the formula a = √Area. This gives a = √48 miles. This formula applies specifically to squares.

Given the area of the polygon is 48 square miles, to find the length of a side, we would first need to know the type of polygon.

For instance, if it's a square, the area is calculated by squaring one of its sides (Area = side²).

Here, to find the side length ('a'), we take the square root of the area. So, a = √Area.

Applying this to the given area, a = √48 miles.

However, please note that this formula is for a square.

Other polygons have different formulas for calculating such dimensions.

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Initially, both salary options provide the same increase, but after two years Option 1 becomes more beneficial due to compounding. After 10 years, the 5% annual increase of Option 1 provides a higher salary than the flat rate increase of Option 2.

The salary options present themselves differently over time. Initially, Option 2, the guaranteed increase of $1,000 each year, is more beneficial. In the first year, a 5% increase on a $20,000 salary (Option 1) is only $1,000 - the same as Option 2. However, in the second year, the 5% increase is applied to the new salary of $21,000 (in Option 1), which gives an increase of $1,050 - thus, it surpasses Option 2.

After 10 years, Option 1 will be more beneficial. The reason lies in the principles of compounding; each year, the 5% increase is applied to the increased salary. Thus, in 10 years' time, the amount gained annually in Option 1 significantly surpasses the static $1,000 per year increase of Option 2.

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