At a point A due South of the building the angle of elevation from the ground to the top of the building is 58ﾟ. At a point B on level ground with a 80 m due West of a the angle of elevation to the top of the building is 27ﾟ. Find the height of the building

88 cm is the circumference of a circle with a diameter of 28 cm.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle with a diameter of 28 cm.

Radius = 28/2

Radius is 14 cm.

Circumference=2πr

=2×3.14×14

=87.92=88 cm

Hence, 88 cm is the circumference of a circle with a diameter of 28 cm.

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Answer: y=3x-2

Step-by-step explanation:

Given a point and slope, all we need to do a find the y-intercept. What we do a to plug in (x,y).

-8=3(-2)+b       [multiply]

-8=-6+b           [add both sides by 6]
b=-2

This gives the final equation of y=3x-2.

Prior to the Romans, who "Latinized" the entire nation and kept it united until the fifth century .

An example of a radical is the square root or nth root. Expressions with square roots are referred to as roots. There is a radical's radicand, which might be a number or word. Examples include the radicals 2y+1 and 7. The following terminology can be used to describe radicals: Radical equations are referred to as equations containing radicals. A "root expression" is the phrase that appears inside the square root. The radical representations of the numbers 2, 372, 2x+7, and 41p are shown. The expression found inside the square root is known as a "root expression." The digits 2, 372, 2x+7, and 41p serve as illustrations of radical representations.

given

Prior to the Romans, who "Latinized" the entire nation and kept it united until the fifth century,

the Etruscans in Tuscany and Umbria and the Greeks in the south.

Jews arrived in Italy during the Roman Republic and stayed there till the present.

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Hope it helps.

If you have any query, feel free to ask.

Answer:Answer is 2,945,208

Step-by-step explanation:Hope it helps tara:)

Answer:

a: (9,-9)

Step-by-step explanation:

The graph of the system of inequalities is the one in the top left.

Here we want to graph the system of inequalities below:

3y ≥ x − 9

x + y > −3

Now we can rewrite the two linear equations in the slope-intercept form to get:

y ≥ (1/3)x − 3

y > -x - 3

So we have two lines, both with an y-intercept at y = -3, one with positive slope (that will be a solid line, due to the symbol ≥) and other witha negative slope, which will be a dashed line.

In both lines, the shaded area is above the line.

Then the correct graph is the first one (top left).

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The value of the largest of these numbers is 144.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Given: 300 is divided into 4 parts such that the first integer number is twice the second, three times the third, and four times the fourth.

We have to find the value of the largest of these numbers.

According to the question:

X: Y: Z: W

1 : 1/2 : 1/3 : 1/4

Now we take LCM of 2, 3, and 4 and we get 12

X: Y: Z: W

1×12 : 1/2×12 : 1/3×12 : 1/4×12

12x : 6x : 4x : 3x

Sum = 12x+6x+4x+3x

300 = 25x

x = 12

Hence, the value of the largest of these numbers is 12(12) = 144.

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Answer:

0.270833333333333333333333333333333333333

Answer:

x ≥ 11

Step-by-step explanation:

x+7≥18

x ≥ 11

To solve on the number line.

We know it has =, so it will be a close circle to the right of 11.

There are totally six ways to solve the train problems,

Clear and Precise definition

Informational

Brainstorming

Options analysis

Practice

Monitoring

Workplace issues can be resolved in a variety of ways, and the best strategy will depend on the issue's specifics and the situation it arises in. Among the tactics that may be successful are:

         So, by using this points you can solve train problems.

         Therefore ,this 6 points are important to solve train problems.

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All of the functions given have a domain of all real numbers since none of them have any restrictions on the input values.

Every function has a domain, which is the set of all valid input values. If a function has a domain of all real numbers, it means that it can accept any real number as an input. All of the functions given in the question have a domain of all real numbers because none of them have any restrictions on the input values. For example, in the function y=-x½+5, there are no restrictions on x, so any real number is accepted as an input. This is true for all of the functions given in the question, so they all have a domain of all real numbers. This means that any real number can be used as input for these functions, and the corresponding output will be calculated accordingly.

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You can use the following equation to determine how long it will take to go 200 kilometers at a speed of 60 kilometers per hour:

Time = Distance / Speed

By entering the specified values, you obtain

200 kilometers divided by 60 kilometers per hour equals time.

  Divide the distance by the speed to find the time:

Time =200/60

        3.333 hours (or 3 hours and 20 minutes)

 As a result, travelling 200 kilometers at a speed of 60 kilometers per hour will take 3 hours and 20 minutes.

    Therefore, It will take 3 hours and 20 minutes to travel 200 kilometers at a speed of 60 kilometers per hour .

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Answer:

d. all real numbers greater than or equal to 2

Step-by-step explanation:

...

There are 12 functions: Identity,Squaring, Cubing, Reciprocal, Square Root, Exponential, Natural Logarithm, Sine, Cosine, Absolute Value, Greatest Integer, and Logistic.

Identity function

The only function that affects every real number while leaving it alone is this one.

Squaring function

Making satellite dishes and torches is made possible by the reflection property of the function's graph, known as a parabola.

Cubing function

For this curve, the origin is referred to as a "point of inflection" since the graph's curvature changes at that location.

Reciprocal function

Finding the inverse of a given function leads to the creation of a reciprocal function. The reciprocal function is f(x) = 1/x for a function f(x) = x.

Square Root Function

A function with a square root around the independent variable is known as a square root function.

exponential function

When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated.

Logarithm Natural Function

The inverse of the exponential function ex is the natural logarithm function, or e^x.

The inverse of the exponential function ex is the natural logarithm function, or e^x. Shine function

The ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle is known as the sine function.

Cosine Function

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles.

Absolute Value Function?

A function in algebra with the variable inside the absolute value bars is called an absolute value function.

Greatest integer function

For each real function, the symbol "x" stands for the largest integer function. The function rounds real numbers off to the nearest integer that is less than the input value. The Floor Function is another name for this function.

logistic function

The logistic function is a function that simulates the exponential expansion of a population while also taking into account variables like the carrying capacity of land and other factors.

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The probability of drawing a card that is more than 6 is given as 1 / 2.

The term probability can be defined as the concept in mathematics that has to do with the likelihood that an event is going to have to occur.

In the picture we have values that are numbered from 1 to 12 in the face of all of the cards.

The cards that are greater than 6 here are: [7, 8, 8, 10, 11, 12] = 6

The total numbers in the card are: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] = 12

Hence the probability of card that is more than 6 = 6 / 12

= 1/2

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Answer:

Step-by-step explanation: goofy

$5.20 is a rational number that is not an integer.

What is the rational number?

A rational number, in arithmetic, is a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

5.20 is a real number which is defined as a number that can be represented on the number line and can be written as a decimal.

It can also be expressed as a ratio of two integers, 5.20 = 52/10 and since it's not a whole number it's not an integer.

But it's a rational number as it can be expressed as the ratio of two integers.

Hence,  $5.20 is a rational number that is not an integer.

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7 Children were in attendance.

18 adults were in attendance.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Number of children at party = 25

Dinner cost of a child = $ 5

Dinner cost of an Adult = $ 22

Total cost of dinner = $ 431

let x be the number of children in party.

and, y be the number of adults in party.

According tot the Question,

x + y = 25 ....................(1)

5x + 22y = 431 ..................(2)

Solving the above equation we get

5 ( 25- y) + 22y = 431

125 - 5y + 22y= 431

17y = 306

y= 18

and, x = 25- 18 = 7

Hence, 18 adults and 7 children attended.

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Answer:

To find the sine of angle U, we can use the following formula:

sin(U) = UV/UW

Plugging in the given values:

sin(U) = 6/8 = 3/4

So the sin of angle U is 3/4

By solving a product, we will see that the total number of ring-necked ducks is 16,800.

We know that only 0.14 of the total number of ducks were ring-necked, so if the total number of ducks is D, then the number of ring-necked ducks can be expected to be:

N = 0.14*D

So it is a simple product.

Here we know that there are 120,000 ducks in total, so:

D = 120,000

Replacing that we will get:

N = 0.14*120,000

N = 16,800

There are 16,800 ring-necked ducks.

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There are 9 adult tickets in the group.

Two or more expressions with an Equal sign is called as Equation.

Given that the cost of adult ticket is $13.75  each

The cost of  children’s ticket is $9.50

Total cost of the movie tickets was $161.75

The total number of people are 13.

By given information we construct two equations

x+y=13

13.75x+9.5y=161.75

x=13-y

Now 13.75(13-y)+9.5y=161.75

178.75-13.75y+9.5y=161.75

178.75-4.25y=161.75

Subtract 178.75 on both sides

-4.25y=161.75-178.75

-4.25y=-17

Divide both sides by 4.25

y=4

x=9

Hence, there are 9 adult tickets in the group.

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After solving this equation we get x = 1 and y = 30.

An equation is a mathematical statement that describes the relationship between two or more variables. It is a statement that states the equality of two expressions. Equations can be used to describe anything from the motion of a pendulum to the growth of a population. They are used in all areas of mathematics, physics, and other sciences. Equations are written using symbols, such as = (equal to), > (greater than), and < (less than).

To solve this systems of equations, we need to use algebraic techniques. First, we need to rewrite the equations so they are in the same form. To do this, we will subtract x from both sides of the second equation, giving us:

y = x + 30

-x

y = 30

Now, we will subtract 30 from both sides of the equation, giving us:

y = 4x + 9

-30

y = 4x - 21

Now we will subtract 4x from both sides of the equation, giving us:

y = 4x - 21

-4x

y = -21

Finally, we will divide both sides by -21, giving us:

y = -21

-21

y = 1

This means that the solution to our system of equations is x = 1, y = 30.

To show our algebraic work on paper, we can rewrite the equations and perform each step as a mathematical operation:

y = 4x + 9

y = x + 30

y = x + 30 - x

y = 30

y = 4x + 9 - 30

y = 4x - 21

y = 4x - 21 - 4x

y = -21

y = -21 ÷ -21

y = 1

Therefore, x = 1 and y = 30.

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The expression for the number of pages read by Soul in the first week is 50 and after that he read 65 pages every week is given by :

option b. 50 + 65w .

As given in the question,

Number of pages read by Soul in the first week is equal to 50.

Number of pages read by Soul in the weeks after first week is 65

Let 'w' represents the number of week

The required expression to represent the given data is :

50 + 65w

Therefore, the expression used to represents the total number of pages read by Soul in the all the week is equal to option b . 50 + 65w.

The above question is incomplete , the complete question is:

Saul reads every week. In his first week of reading, he read 50 pages. Each week after that, he read 65 pages. Which expression represents the total number of pages Saul has read, where w represents the number of weeks since he first started reading.

a.  65w + 15

b. 50 + 65w

c. 65w−15

d.  50 + 65 + w

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Answer: 4 apples 10 banana

Step-by-step explanation: 4 apples is 4 dollars + 1/2 of 10 which is 5 = 9

to figure this out I start out adding 1 apple and 1 banana to each side starting with 0 apples and 6 bananas until I got to 9 dollars worth of fruit

We can start by using the following formula to find the original price:

Original price = Sale price / (1 - (Discount percentage / 100))

To use this formula, we need to convert the discount percentage from 26% to a decimal. We can do that by dividing 26 by 100.

Discount percentage as decimal = 26 / 100 = 0.26

Now we can use this value in the formula:

Original price = $469.16 / (1 - 0.26) = $469.16 / 0.74 = $630.22

So the original price of the television set was $630.22.

Answer: 3.333333333 always repeating

Step-by-step explanation: 1/3x10