A 28 first slide at a waterpark makes an angle of 60° with the ground as it descends into a pool. What is a vertical distance from the top of the slide to the ground

Answer:

11

Step-by-step explanation:

Three times an unknown number

= 3(n)

Added to

Two less than four times the same unknown number

= 4 - 2(n)

Total

= 3(n) + 4 - 2(n) = 15

= 3n + 4 - 2n = 15

Collect like terms

= 3n - 2n = 15 - 4

n = 11

Answer:

Step-by-step explanation:

Here is a list of possible outcomes.

Penny      nickel

Heads      heads

Heads       tails

tails            Heads

tails            tails

Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.

Answer: The answer is C 1/4

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

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Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

Answer: This is a perfect square trinomial. You are trying to find the binomials that multiply to that. In order to do that, you do the following.

Multiply 2x^2 by 4 (A times C)

Find what numbers multiply to give you 8 and add to give you 7.

When you do this, you will notice that there are no numbers that do this. That makes your answer D. NONE OF THESE.

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

F is impossible because -1 x 4 = -4

G is impossible because 1 x -4 = -4

Try to solve H

2x^2+8x+x+4 = 2x^2+9x +4 (is not correct)

Answer:

Every integer greater than 5 can be written as the sum of three primes.

Step-by-step explanation:

Every integer greater than 5 can be written as the sum of three primes.

Answer:

  B

Step-by-step explanation:

The given expressions can be compared by putting each in standard form.

A. -8 -7n +16n = (-7+16)n -8 = 9n -8

B. 9(n -8) = 9n -72 . . . . different from the others

C. n -8 +8n = (1 +8)n -8 = 9n -8

D. 9n -8

_____

The standard form of a polynomial expression has the variable terms in decreasing order by degree

Answer:

nope, this is not a function!

Step-by-step explanation:

a function is where each input corresponds to one output.

in the diagram, -3 corresponds to -2, 0, and 2.

this is not a function.

Answer:

3 + 2k

Step-by-step explanation:

1/5(15+10k)

distribute

1/5 * 15 + 1/5 * 10k

3 + 2k

Answer:

3 + 2k

Step-by-step explanation:

First, I am going to explain what the distributive property is. Lets say he had the expression a(b + c). We can "distribute" the a to the b and c:

a(b + c) = ab + ac

We can apply the distributive property to the expression 1/5(15 + 10k):

1/5(15 + 10k)

= (1/5)(15) + (1/5)(10k)

= 3 + 2k

By using the distributive property, we found the expression 3 + 2k.

I hope you find my answer helpful.

The empirical probability that a consumer will like this brand of sausage is 0.9 or 90%.

The ratio of the number of times an event occurs to all possible trials is the empirical probability that the event will occur. The occurrence in this instance is comparable to the brand of sausage.

The total number of consumers who tested was 700, and 630 of them rated the sausage favorably. As a result, the empirical likelihood that a customer will enjoy this brand of sausage is:

Empirical Probability = Number of consumers who liked the sausage / Total number of consumers tested

Empirical Probability = 630 / 700

Empirical Probability = 0.9

Therefore, the empirical probability that a consumer will like this brand of sausage is 0.9 or 90%.

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Answer:

Point slope

(-7, -5)

Equation form

x=-7, y=-5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

(-7, -5)

Step-by-step explanation:

y = x + 2

2x - 3y = 1

2x - 3(x + 2) = 1

2x - 3x - 6 = 1

-x - 6 = 1

    +6  +6

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

-x + 7

x = -7

y = x + 2

y = -7 + 2

y = -5

(-7, -5)

I hope this helps!

The distance between the given points a (5, 3) and b (7, -4) is `sqrt[53]` or approximately 7.28 units.

To find the distance between the given points a (5, 3) and b (7, -4),

we can use the distance formula.

Distance formula: The distance formula is used to find the distance between two points in a plane.

It is given by;`d = sqrt[(x2 - x1)² + (y2 - y1)²]`

where, (x1, y1) and (x2, y2) are the coordinates of two points on a plane,

and d is the distance between the two points.

So, for points a (5, 3) and b (7, -4), let's substitute the values in the formula;

d = sqrt[(7 - 5)² + (-4 - 3)²]d = sqrt[2² + (-7)²]d = sqrt[4 + 49]d = sqrt[53]

Hence, the distance between the given points a (5, 3) and b (7, -4) is `sqrt[53]` or approximately 7.28 units.

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Answer:

46.80

Step-by-step explanation:

because 45/4%=1.80 and 45+1.80=46.80

The expression that best models the population of the herd is:

y = (34/5)x - 558, where y is the population of the herd, and x is the time in years since 2010.

To model the population of the bison herd as a linear function of time, we can use the slope-intercept form of a linear equation, which is y = mx + b, where y is the population of the herd, x is the time in years since 2010, m is the slope of the line, and b is the y-intercept of the line.

To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) is the point (2010, 122), and (x2, y2) is the point (2015, 156).

m = (156 - 122) / (2015 - 2010) = 34 / 5

So the slope of the line is 34/5.

To find the y-intercept of the line, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where (x1, y1) is the point (2010, 122), and m is the slope we just found.

y - 122 = (34/5)(x - 2010)

y - 122 = (34/5)x - 13668

y = (34/5)x - 13546

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Answer:

4feet

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the sides

h is the height

Substitute the given values

Area of the trapezoid = 1/2(8+b)*4

24 = 1/2(8+b)*4

2(24) = (8+b) * 4

48 = 32 + 4b

4b = 48-32

4b = 16

b = 16/4

b = 4feet

Hence the window on top is 4feet wide

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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The Scale factor used to create the image is 4.

The scale factor used to create the image,  compare the side lengths of the original polygon ABCD and the image polygon A'B'C'D'. The scale factor is the ratio

Side AB: √((3 - 1)^2 + (-2 - (-2))^2) = √(2^2) = 2

Side BC: √((3 - 3)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2

Side CD: √((1 - 3)^2 + (-4 - (-4))^2) = √((-2)^2) = 2

Side DA: √((1 - 1)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2

Polygon A'B'C'D':

Side A'B': √((12 - 4)^2 + (-8 - (-8))^2) = √(8^2) = 8

Side B'C': √((12 - 12)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8

Side C'D': √((4 - 12)^2 + (-16 - (-16))^2) = √((-8)^2) = 8

Side D'A': √((4 - 4)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8

Now, we can calculate the scale factor by comparing the side lengths:

Scale factor = (A'B' / AB) = (8 / 2) = 4

Therefore,To determine the scale factor used to create the image, we need to compare the corresponding side lengths of the original polygon ABCD and the image polygon A'B'C'D'. The scale factor is the ratio of the corresponding side lengths.

the side lengths of both polygons:

Polygon ABCD:

Side AB: √((3 - 1)^2 + (-2 - (-2))^2) = √(2^2) = 2

Side BC: √((3 - 3)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2

Side CD: √((1 - 3)^2 + (-4 - (-4))^2) = √((-2)^2) = 2

Side DA: √((1 - 1)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2

Polygon A'B'C'D':

Side A'B': √((12 - 4)^2 + (-8 - (-8))^2) = √(8^2) = 8

Side B'C': √((12 - 12)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8

Side C'D': √((4 - 12)^2 + (-16 - (-16))^2) = √((-8)^2) = 8

Side D'A': √((4 - 4)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8

Now, we can calculate the scale factor by comparing the side lengths:

Scale factor = (A'B' / AB) = (8 / 2) = 4

Therefore, the scale factor used to create the image is 4.

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The value of money £6 in € is €9, i.e. £6 = €9

Currency is anything that is generally accepted to have value as a medium of exchange so that it can be traded for goods and services. The trading system within an economy is based on its currency, which is usually specific to a country and issued by that country's government.

Given that, two currency rates, £1 = $1.14 and $1 = €1.32, we need to find the value of £6 in €

Since, £1 = $1.14, we can write, $1 = £1/1.14

also, $1 = €1.32

Therefore,

£1/1.14 = €1.32

£1 = €1.32 x 1.14

£1 = €1.5

Therefore,

£6 = €1.5 x 6

£6 = €9

Hence, the value of money £6 in € is €9, i.e. £6 = €9

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Answer:If it has 4 equal sides

If the angles are 90°

Hope this may helps you

Answer:

A square is characterized by

Hope this helps ;) ❤❤❤

Answer:

203,549 !!!

Step-by-step explanation:

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.

PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.

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Answer:

54 Minutes

Step-by-step explanation:

The computation shows we that the total cost is $31.57.

From the information, the person is purchasing supplies for an art project. you need 3 containers of paint, 2 brushes, and 1 case of canvas. each container of paint is $3.99, each brush is $3.80, and each case of canvas is $15.99.

This will be:

= 3($3.99) + 2($3.80) + 1($15.99)

= $7.98 + $7.60 + $15.99

= $31.57

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Answer:

£460.80

Step-by-step explanation:

Do 12% x 4 years= 48%

Then 48% x 960= £460.80

The taxi ride is an illustration of a linear proportional equation

The taxi ride was 13.25 miles

From the question, we have:

The number of miles (n) is the quotient of the total cost of the ride, and the cost per mile.

So, we have:

n = 39.75/3.00

Evaluate the quotient

n = 13.25

Hence, the ride was 13.25 miles

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To determine the domain of the function after reflecting the graph of f(x) = x + 21 over the x-axis, we need to consider the effect of the reflection on the original domain.

The original domain of the function f(x) = x + 21 is all real numbers since there are no restrictions or limitations on the values that x can take.

When we reflect a graph over the x-axis, the y-values of the points change their signs, while the x-values remain the same. In other words, for each point (x, y) on the original graph, the reflected point will have the coordinates (x, -y).

Since the original domain consists of all real numbers, reflecting the graph over the x-axis does not affect the x-values. Therefore, the reflected function will still have the same domain as the original function, which is all real numbers.

Thus, the correct answer is: "all real numbers" (OA).

The reflection over the x-axis only affects the range of the function by changing the sign of the y-values. In this case, the original range is also all real numbers, and after the reflection, it becomes all real numbers but with the opposite sign. However, the domain remains unchanged.

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Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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