help i dont understand this fully

Answer:

112.13 square mm

Step-by-step explanation:

Decompose the composite figure into familiar shapes. One such decomposition is shown in the attached figure

There are four familiar shapes

A semicircle and 3 rectangles

The diameter of the semicircle = 6 mm and therefore its radius is 3mm

Area of the semicircle = 1/2 x area of circle = 1/2 x π x 3²
= 1/2 x 3.14 x 9
= 14.13 square mm

The rectangle below the semi circle has height 5 mm and width 10 mm
Area of this rectangle= 5 x 10 = 50 square mm

The rectangle at the bottom left has width = 6 mm and height = 7mm
Area of this rectangle = 6 x 7 = 42 square mm

The bottom right rectangle has width 2 mm and height 3 mm
Area of this rectangle = 2 x 3 = 6 square mm

Area of the three rectangles = 50 + 42 + 6 = 98 square mm

Total area of composite figure

= Area of 3 rectangles + Area of semicircle

= 98 + 14.13

= 112.13 square mm

Answer:

5

Step-by-step explanation:

The rule of the sides of a triangle is that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This rule is also known as the triangle inequality theorem.

By using the concept of combinations, we have determined that there are 210 three-digit numbers that can be formed using the digits 0-6 without repeating any of them. Among them, there are 90 odd numbers and 120 numbers greater than 330.

Combinations are a fundamental concept in mathematics, particularly in the field of combinatorics, which deals with counting and arranging objects.

To solve this problem, we can use the concept of combinations, which is a way of counting the number of ways we can choose k items from a set of n items. In this case, we want to find the number of three-digit numbers we can form from the set {0, 1, 2, 3, 4, 5, 6}, without repeating any of the digits.

First, we can determine the number of ways we can choose the first digit. Since there are seven digits to choose from, we have 7 options for the first digit.

Next, we can determine the number of ways we can choose the second digit. Since we have already used one of the digits, we only have 6 options left for the second digit.

Finally, we can determine the number of ways we can choose the third digit. Since we have used two of the digits, we only have 5 options left for the third digit.

Therefore, the total number of three-digit numbers we can form is given by the product of the number of choices for each digit:

7 x 6 x 5 = 210

So there are 210 different three-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, and 6, without repeating any of the digits.

To find the number of odd numbers, we need to consider that the last digit must be either 1, 3, or 5, since these are the only odd digits in the set. We can choose the first two digits in the same way as before, and then choose one of the three odd digits for the last digit. Therefore, the number of odd three-digit numbers is:

6 x 5 x 3 = 90

To find the number of three-digit numbers greater than 330, we need to consider that the first digit must be either 3, 4, 5, or 6. We can choose the first digit in 4 ways, and then choose the remaining two digits as before. Therefore, the number of three-digit numbers greater than 330 is:

4 x 6 x 5 = 120

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The total cost of the fencing can be expressed as a function of x: C(x) = $24x.

Let's assume that the width of the soccer field is x feet. Then the length of the soccer field is 3x feet.

The east and west sides have a combined length of 3x feet, and the cost per foot of fencing is $6, so the total cost for the east and west sides is $6 * 3x = $18x.

The north and south sides have a combined length of 2x feet, and the cost per foot of fencing is $3, so the total cost for the north and south sides is $3 * 2x = $6x.

The total cost of the fencing is the sum of the cost of the east and west sides and the north and south sides: $18x + $6x = $24x.

So, the total cost of the fencing can be expressed as a function of x: C(x) = $24x.

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There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Let's call the time it takes to install all the chairs from start to finish "t". The workers install 840 chairs per day, so in "t" days they will have installed 840 * t chairs.

At the end of 5 days, they still have 240 chairs to install, so they have installed 840 * 5 chairs so far. We can use this information to write an equation:

840 * t - 840 * 5 = 240

Expanding and simplifying the equation gives us:

840t - 4200 = 240

Adding 4200 to both sides gives us:

840t = 4440

Finally, dividing both sides by 840 gives us:

t = 5.2857142857...

So it takes approximately 5.29 days to install all the chairs from start to finish.

Answer:

~ generally is substituted by negation

Hence, option D (Even numbers are not divisible by 2) would be the correct answer.

The magazine will have 33320 subscribers at the end of 10 years.

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.

Given that, a publishing industry report predicts that magazine

subscriptions will drop by 10% each year.

The problem thus represents an exponential decay problem.

The exponential decay is given as:

[tex]F = P (1 - r)^t[/tex]

Here, F is the future value.

P is the present amount = 98000.

r is the rate of decrease = 10% = 0.1

t is the time = 10 years.

Substituting the values we have:

[tex]F = 98000(1 - 0.1)^{10}\\[/tex]

F = 33320

Hence, the magazine will have 33320 subscribers at the end of 10 years.

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Since angle S is 65°, angle Y will also be 65°

Similar shapes are shapes that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Since quadrilateral QRST is similar to quadrilateral WXYZ, then angle Q = angle W , angle R = angle X and angle S = angle Y and angle T = angle Z.

Since angle S is 65° from the diagram shown, angle will be measured as 65°.

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The zeros of f(x)= x²-9 is +3 and -3

The zeros of f(x) = x²-16 is +4 and -4

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique. Vertical Asymptotes.

The zeros of a function are defined as the values of the variable of the function such that the function equals 0.

Therefore when f(x) =0

x²-9 = 0

x² = 9

x =√9

x = ±3

therefore the zeros of x²-9 is ±3

The vertical asymptote is 0 and horizontal asymptote is infinity.

x²-16 = 0

x² = 16

x = √16

x = ±4

the vertical asymptote is 0 and horizontal asymptote is infinity.

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Answer:

Therefore, the correct answer is (a) 24.52 cm^2.

Step-by-step explanation:

To find the area of the figure, we need to find the area of the two triangles and the trapezoid and add them together.

The top triangle has a base of 5 cm and a height of 2.7 cm, so its area can be found by multiplying the base by the height and dividing by 2: (5 * 2.7) / 2 = 13.5 cm^2.

The bottom triangle has a base of 3 cm and a height of 2.7 cm, so its area can be found by multiplying the base by the height and dividing by 2: (3 * 2.7) / 2 = 4.05 cm^2.

The trapezoid has a base of 5 cm, a top length of 6.8 cm, and a height of 3.4 cm, so its area can be found using the formula for the area of a trapezoid: ((5 + 6.8) / 2) * 3.4 = 20.06 cm^2.

The total area of the figure is the sum of the areas of the three shapes: 13.5 + 4.05 + 20.06 = 37.61 cm^2.

Therefore, the correct answer is (a) 24.52 cm^2.

2 , 3, 5 all are that prime of 30

5×6

Create a proportion using the given information to determine how long it will take for Cheryl's phone battery to totally drain. Total time divided by the remaining charge's percentage equals the remaining time (total charge)

Enter these values because Cheryl is aware that the battery will continue to operate for 1.5 hours at a 55% charge. 1.5 / 0.55 = (total time) / 1 = (total time) / (total charge) (amount of time left) / (remaining percentage of the charge)

When we calculate the total amount of time, we get:

Time: 2.727 hours (1.5 / 0.55 × 1) * 1

To determine how long the battery will survive after fully charged, we may simply reverse the rate of discharge:

Total time / Total charge / (time left) / 1 = Total time / 100 (time left) = Total time / 100 (time left) (percent charge remaining)

The battery's lifespan after being completely charged is as follows:

(Total time) / 100 divided by the remaining time gives us 2.727 / 100 or 0.02727 hours.

As a result, after 1.64 minutes, or 0.02727 hours, Cheryl's phone battery will be fully charged.

Therefore,  It takes 2.727 hours for Cheryl's phone battery to totally drain at a constant rate.

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Note that the r-value of the above data is : -0.903 (Option A)

In mathematics, the r-value typically refers to the correlation coefficient, which measures the strength and direction of the linear relationship between two variables.

With regard to the above data:

A) Find the Sum of the X values: 4 +5+8+9+13 = 39

B) Find the Sum of the Y values: 23 +12 +10 +9 +2 = 56

C) Find the Sum of x^2: 4^2 + 5^2 + 8^2 + 9^2 +13^2 = 355

D) The sum of the Y^2's: 23^2 + 12^2 + 10^2 + 9^2 + 2^2 = 858

E) Sum of x *y's: 4*23 + 5*12 + 8*10 + 9*9 + 13*2 = 339

N = number of sets = 5

Numerator of r = (E - A*B/N) = 339-39*56/5 = 339 - 436.8 = -97.8

Denominator of r = SQRT(C-A^2/N) x SQRT(D-B^2/N) =

SQRT(355-39^2/5) x SQRT(858-56^2/5) =

SQRT(50.8) x SQRT(230.8) =

7.1274 x 15.1921 =

108.2803

r = -97.8 / 108.2803

r = -0.903

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Answer: To find the range of the marks obtained, we need to find the difference between the highest and lowest marks:

Range = highest mark - lowest mark

To find the highest and lowest marks, we can simply sort the marks in ascending or descending order:

39, 48, 56, 75, 76, 81, 85, 85, 90, 95

So, the highest mark is 95 and the lowest mark is 39. Then, the range is:

Range = 95 - 39 = 56

To find the mean marks obtained by the group, we need to add up all the marks and divide by the number of marks:

Mean = (85 + 76 + 90 + 85 + 39 + 48 + 56 + 95 + 81 + 75) / 10

   = 745 / 10

   = 74.5

So, the mean marks obtained by the group is 74.5.

Step-by-step explanation:

A heavy rope, 30 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 80 ft high, the work done in pulling the rope to the top of the building is 1785 ft-lb.

To calculate the work done in pulling the rope to the top of the building, we need to use the formula:

W = F x d

where W is the work done, F is the force applied, and d is the distance over which the force is applied.

In this problem, we can calculate the force required to pull the rope as the product of its weight per unit length (0.7 lb/ft) and the length of the rope (30 ft). Thus, the force required is:

F = 0.7 lb/ft x 30 ft = 21 lb

To calculate the distance over which the force is applied, we need to calculate the total length of the rope that needs to be lifted. This can be found using the Pythagorean theorem, as follows:

l = √(30^2 + 80^2) = 85 ft

So the distance over which the force is applied is 85 ft.

Now we can substitute the values for F and d into the formula for work to get:

W = F x d = 21 lb x 85 ft = 1785 ft-lb

This calculation shows how the formula for work can be used to calculate the energy required to lift an object against gravity over a given distance.

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Answer:

Step-by-step explanation:

14 doughnuts in total

Option (a) The quantity supplied rises by 165. To determine the change in the total supply of meals in your survey when the price increases from $8 per meal to $9 per meal, we need to compare the quantity of meals supplied at the $8 and $9 prices across all food trucks.

From the table, we can see that the quantity of meals supplied at the $8 price per meal is as follows:

Mario's Taco Stand: 140

Curbside Chargrilled Burgers: 210

Chuckin' Clouds BBQ: 175

Burrito Dan's: 240

La Jefa Cubanos: 150

What a Jrk Jamaican Food: 220

The total quantity supplied at $8 per meal is 1,135 meals.

At the $9 price per meal, the quantity of meals supplied is as follows:

Mario's Taco Stand: 160

Curbside Chargrilled Burgers: 240

Chuckin' Clouds BBQ: 200

Burrito Dan's: 260

La Jefa Cubanos: 190

What a Jrk Jamaican Food: 250

The total quantity supplied at $9 per meal is 1,300 meals.

The change in the total supply of meals is the difference between the total quantity supplied at $9 per meal and the total quantity supplied at $8 per meal, which is:

1,300 - 1,135 = 165

Therefore, the answer is (a) The quantity supplied rises by 165.

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Complete question is in the image

After solving the given inequality question, we will get  x < -9.

A mathematical sign for comparing two values or expressions is an inequality symbol. Inequality symbols include: (less than), > (greater than), (less than or equal to), and (greater than or equal to). Inequalities can be used to represent connections between two or more variables, for as 5 10 indicating that 5 is less than 10. Inequalities can also be used to define mathematical equations or to describe connections between variables. The equation x + 2 7 can, for example, be used to represent the relationship between x and 7, or to communicate that the value of x must be less than 5 for the equation to be true.

In the given question,

2/3x + 2y < -1/3x + 1

⇒ 2/3x + 2y - (-1/3x + 1) < 0

⇒ 5/3x + 3 < 0

⇒ 5/3x < -3

⇒ x < -9

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Answer:

( [tex]-\frac{1}{3}[/tex] , [tex]-\frac{41}{21}[/tex] )

Step-by-step explanation:

Answer:

Graphs B and D

I can't see all the options since the image is cropped but it does look like the first option

Step-by-step explanation:

A function, y = f(x0 can have one and only one value for a specific value of x

Graphically we can determine whether a graph represents a function or not by drawing a vertical line through a value of x and finding out if it intersects the graph at more than one point

Graph A:  Not a function
If we draw a vertical line at say x = 0, it intersects the graph at two points y = 2 and y = -2. Therefore it is not a function

We need to see only one violation of this rule to conclude it is not a function

Graph B:     Function

This is a function. There are 5 points plotted for 5 values of x (x = -5, -4, -1, 1 and 2)  and at none of these values of x does a vertical line cross two points

Graph C     Not a function

At x = 1, the vertical line will cross at 2 points (1, 5) and (1, -3). Essentially there are 2 y values, 5 and -3 for a single x value of 1

So not a function

Graph D    Function

At no value of x does a vertical line pass through more than one point. Hence it is a function

If the plane is descending at the rate of 3200 feet per minute , then equation to represent this situation is (a) y = 35600 - 3200x  .

The airplane is descending from 35,600 feet at a rate of 3200 feet per minute. which means that the altitude (y) is decreasing by 3200 feet per minute, so we can represent this situation using a linear equation of the form ⇒ y = mx + b ;

where m = rate of change (or slope) and b = initial value .

In this case, the rate of change is -3200 feet per minute (because the altitude is decreasing), and the initial value (y intercept) is 35,600 feet. So, we can write the equation as : y = -3200x + 35600

Therefore , the equation representing the situation is y = 35600 - 3200x  .

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The given question is incomplete , the complete question is

An airplane is descending from 35,600 feet at a rate of 3200 feet per minute. If y represents total feet and x represents minutes, write an equation to represent this situation.

(a) y = 35600 - 3200x

(b) y = 3200x + 35600

(c) y = -35600 - 3200x

(d) y = -35600x + 3200

The work done in pulling the rope up 10 ft is 864 ft-lbs, calculated by multiplying the rope's weight (72 lbs) by the distance (10 ft) it was lifted.

Work done = Weight x Distance

Work done = 72 lbs x 10 ft

Work done = 720 ft-lbs

Additional work done for weight of rope = Weight of rope x Distance

Additional work done for weight of rope = 90 x 10

Additional work done for weight of rope = 900 ft-lbs

Total work done in pulling the rope up 10 ft = 720 ft-lbs + 900 ft-lbs

Total work done in pulling the rope up 10 ft = 864 ft-lbs

The work done in pulling the rope up 10 ft is calculated by multiplying the weight of the rope (72 lbs) by the distance (10 ft) it was lifted. This gives us a result of 720 ft-lbs. However, since the rope is 90 ft long, we must also take into account the additional weight of the rope beyond the 10 ft that was lifted. So, we multiply the weight of the rope (90 lbs) by the distance (10 ft) to get an additional work done of 900 ft-lbs. Adding the two results together gives us 864 ft-lbs of work done in pulling the rope up 10 ft. This shows that the heavier a rope is, the more work must be done to lift it.

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Answer:

It is 90

Step-by-step explanation:

I never copy the answer please mark me

Answer:

See below

Step-by-step explanation:

Sum of interior angles in a triangle = 180°

∴∠A° + ∠B° + ∠C° = 180°

= 2x° + 4x° + 6x° = 180°

= 12x° = 180°

= x = [tex]\frac{180}{12}[/tex]

∴ x = 15

Substitute this value of x in Angle C:

= 6x°

= 6(15)°

= 90°

This means AC is perpendicular to BC. Also triangle ABC is a right-angled triangle

Answer:

Step-by-step explanation:

87.5% = 87.5/100 = 875/1000= 7/8