From a point 120m from the foot of a building, the angles of elevation of the top and bottom of the flagpole are 49 degrees and 46 degrees respectively. Find the height of the flagpole.

Answer:

20hours

Step-by-step explanation:

Old Job hours = 54 -34 = 20 hours

Using graphs,

The ordered pair, (6,15) represents here the cost of 6 pounds of noodles that is $15.

A structured representation of the data is all that the graph is. It assists us in comprehending the info. Data are the numerical details gathered by observation. Data is a derivative of the Latin term datum, which means "something provided."

Data is continuously gathered through observation once a research question has been formulated. After that, it is arranged, condensed, and categorised before being graphically portrayed.

Here in the question,

As we can see that the graph is a relation between the number of noodles in pounds and the cost of noodles in dollars has been given and compared.

So, as per the question,

The ordered pair that represents here the cost of 6 pounds of noodles is (6,15).

As, from the graph:

When noodles in pounds is 6, cost in dollars is 15.

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The complete question is:

the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

Answer:

Subtract 15 from both sides

Step-by-step explanation:

Answer:

x = 1/2

Step-by-step explanation:

28x + 1 = 32x - 1 <== subtract 28x from both sides

-28x      -28x

1 = 4x - 1 <== add 1 to both sides

+ 1      + 1

2 = 4x <== divide both sides by 4 to isolate the variable

/4   /4

1/2 = x

Hope this helps!

\( \Large{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \)

Given equation:

\( \sf 28x + 1 = 32x - 1 \)

\( \\ \)

Subtract 28x from each side :

\( \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 \)

\( \\ \)

Add 1 to both sides:

\( \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x \)

\( \\ \)

Divide both sides by 4:

\( \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \\ \)

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Step-by-step explanation:

1.) x + 37 + x + 67 + 90 = 180

combine like terms

2x +194 = 180

subtract 194 both sides

2x = -14

x = -7

2.) 63 + 86 = x

x = 149

Answer:

1. (x+37) + (x+67) + 90° = 180°

=> x + x + 37 + 67 + 90 = 180

=> 2x +194 = 180

=> 2x = 180 –194

=> 2x = –14

=> x = –14/2

=> x = –7

2. [The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. ]

x = 63° + 86°

=> x = 149°

Answer:

30036169

Step-by-step explanation:

Use BIDMAS:

9+(10x77)x92)x424)

10x77=770x92=70840x424=30036160+9=30036169

Answer:

Option 2

 x     y

−3     0

−1      3

 0     4

 3     0

4 3

Step-by-step explanation:

For a relation x →  y to be a function, there can be one and only one value of y for a value of x

Looking at the tables we see that option 1 is out since all x values are 2 andthere are multiple values of y

The last option is out because for x = 0 there are two values of y=-2 and y = 2

Correct choice is the second option which has a unique y value for each value of x

Answer:

option 2 im doing it rn

Step-by-step explanation:

Answer:

-8 and 1

Step-by-step explanation:

-8 x 1 is -8

-8+1 is -7

Answer:

25

Step-by-step explanation:

10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25

Answer:

it is irrational,because the product of an irrational number and a non zero rational number is irrational

James has $37.67 now after all his expenses

James had $x, his brother had $y, and his sister had $z when the morning began.

By using algebra,

James's sibling had twice as much money as James.

Now, x =y/2..... (i)

James had $27 fewer dollars than his sister did.

So, x = z - 27 ........ (ii)

⇒  {From equation (1)}

⇒ y/2 = z -27

⇒ y = 2z - 54

⇒ 2z - y =54 ..........(3)

Now, James and his sister each received $12 from his brother.

James now has $(x + 12), his brother now has $(y -24), and his sister now has $(z + 12).

Given that James' sister has twice as much money as James' brother after payoff,

So, z+12/2 = y-24

⇒ z + 12 = 2y - 48

⇒ 2y - z = 50 ......... (4)

The result of resolving equations (3) and (4) is

3y = 54 + 100 = 154

⇒ y =  51.33.

The result of equation (3) is now z = 52.67.

And from equation (1), x = 51.3/2= 25.67

So, now, James has (25.67 + 12) = $37.67

Hence, James has $37.67 now after all his expenses

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Natalie had a total of 61 square yards of flower patch altogether.

To calculate the total flower patch, we need to add the area of the two flower patches that Natalie planted.

The first flower patch was 38 square yards and the second flower patch was 23 square yards. Adding these two numbers together, we get a total of 61 square yards of flower patch. Therefore, Natalie had 61 square yards of flower patch altogether.

To help visualize this, we can use a model. We can draw two squares to represent the two flower patches, one with an area of 38 square yards and the other with an area of 23 square yards. We can then add the areas of the two squares together to get the total area of flower patch that Natalie had. This model helps us see that the total area is simply the sum of the areas of the two individual flower patches.

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Step-by-step explanation:

If the testing firm rejects the null hypothesis at the 0.10 level of significance, it means that they have found evidence that suggests that the publisher's claim of 43% ownership of personal computers among readers is inaccurate.

Since the null hypothesis always assumes that there is no statistically significant difference between the observed data and the expected data, rejecting it means that there is a statistically significant difference between the observed data and the expected data. In this case, it means that the proportion of readers who own a personal computer is significantly different from 43%.

However, it is important to note that rejecting the null hypothesis does not necessarily prove that the publisher's claim is completely false or inaccurate. It only suggests that there may be reason to question its accuracy. Further investigation and testing would be needed to establish a more confident conclusion.

Answer:

Datas are not given

................

The amount still owed on the car after the 24th payment is $15,213.28.

First, let's find the monthly interest rate. We can calculate this by dividing the nominal annual interest rate by the number of compounding periods in a year. Here, we have monthly compounding, so:

Monthly interest rate = Nominal annual interest rate ÷ 12

= 7% ÷ 12

= 0.00583 (rounded to 5 decimal places)

Next, let's calculate the loan amount using the present value formula:

PV = PMT × [1 - (1 + r)^(-n) ÷ r]

where PV = present value (loan amount), PMT = monthly payment, r = monthly interest rate, and n = total number of payments.

PV = $400 × [1 - (1 + 0.00583)^(-72) ÷ 0.00583]

= $23,122.52 (rounded to 2 decimal places)

To find out how much is still owed on the car after the 24th payment, we can use the remaining balance formula:

R = PV × (1 + r)^n - PMT × [(1 + r)^n - 1 ÷ r]

where R = remaining balance, PV = present value (loan amount), r = monthly interest rate, n = number of payments made, and PMT = monthly payment.

R = $23,122.52 × (1 + 0.00583)^24 - $400 × [(1 + 0.00583)^24 - 1 ÷ 0.00583]

R = $15,213.28 (rounded to 2 decimal places)

Therefore, the amount still owed on the car after the 24th payment is $15,213.28.

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Answer:

b

Step-by-step explanation:

To determine the distance from the base of the plateau, knowing the height and the angle of elevation to the top, we can use trigonometry and the tangent function.

Let's assume the height of the plateau is 'h' meters and the angle of elevation to the top is 'θ'. We can set up a right triangle with the height of the plateau as the opposite side and the distance from the base to your position as the adjacent side. The tangent function relates the opposite and adjacent sides of a right triangle.

Using trigonometry, we can write the equation:

tan(θ) = h / distance

To isolate the distance, we rearrange the equation:

distance = h / tan(θ)

By plugging in the values for 'h' (height of the plateau) and 'θ' (angle of elevation), we can calculate the distance from the base to your position. Remember to ensure that the angle is in radians if the tangent function expects input in radians.

Keep in mind that this calculation assumes a flat ground leading up to the plateau and neglects any other obstacles or irregularities that might affect the actual distance.

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Answer:

64% of the movies he watched were rated as very good

Step-by-step explanation:

\(\frac{16}{25} = \frac{x}{100}\)

16*100 = 1600

1600/25 = 64

\( \huge \underline{ \boxed{ \color{cyan}\tt \dag \: Answer}}\)

\(\tt : \implies percentage = \dfrac{16}{25} \times 100\% \\ \\ \tt : \implies percentage = 16 \times 4 \% \\ \tt : \implies percentage = 64\% \\ \)

\( \color{fuchsia} \tt Hence, \: Answer \: is \: 64 \%.\)

Answer:

y=0.25x^2−2x

Step-by-step explanation:

You have to use the disruptive property.

Answer:

Karin can play the game she likes 6 times because $3.00 divided by 50 is 6

Answer: -39.5

Step-by-step explanation:

To make this easier, you want to convert the fraction to a decimal. 1/2 is a half so its 0.5. If you don't know what 1/5 to a decimal is then you make the denominator to 100. To do this you do 100/2 to calculate what to multiply 2 by which is 50. You then do 1x50 and 2x50. This will be 50/100. Divide 50 by 100 which is 0.5.

In this question the fraction is a negative so the decimal will be -0.5.

-0.5-40+1

-0.5-40=-40.5

-40.5+1=-39.5

-39.5 answer

Answer:

The shapes are not similar. The scale factor of the dilation that maps the lower left point of shape I onto shape II is 2. However, that scale factor does not map the other points of shape I onto shape II. So, there is no dilation that maps shape I onto shape II.

Step-by-step explanation:

Sabrina's difference in interest is approximately $7,050.68, and she will pay approximately $23,050.68 on March 9, 2020.

To calculate Sabrina's difference in interest and the amount she will pay on March 9, 2020, we need to consider the interest calculations for both Janeen and Sabrina.

a. Sabrina's Difference in Interest:

Since Sabrina's terms are exact interest, the interest is calculated based on the exact number of days.

First, let's determine the number of days between April 5, 2019, and March 9, 2020:

Number of days = 365 (days in a year) - 31 (days in March) - 4 (days in April) = 330 days

Now we can calculate Sabrina's interest:

Interest = Principal x Rate x Time

Interest = $16,000 x 65% x (330/365)

Interest = $16,000 x 0.65 x 0.90410958904

Interest ≈ $7,050.68

b. Sabrina's Payment on March 9, 2020:

To find the total amount Sabrina will pay, we need to add the interest to the principal.

Total Payment = Principal + Interest

Total Payment = $16,000 + $7,050.68

Total Payment ≈ $23,050.68

Therefore, Sabrina's difference in interest is approximately $7,050.68, and she will pay approximately $23,050.68 on March 9, 2020.

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The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

The correct option is (C)

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere. Examples of spheres are a ball, a globe, the planets, etc.

Let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

We know,

Formula of volume of sphere :

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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Answer:

NS=16

Step-by-step explanation:

In parallelogram, diagonals halves each other to 2 equal section

an instance where a region's u.s. land surface has changed subsided due to groundwater withdrawal. The land surface in the Central Valley has subsided by as much as 30 feet in distance some areas due to unsustainable groundwater withdrawals.

The most famous case of land subsidence due to groundwater withdrawal in the United States is the Central Valley of California. The land surface in the Central Valley has subsided by as much as 30 feet distance in some areas due to unsustainable groundwater withdrawals. In addition to land subsidence, the unsustainable withdrawals have caused significant groundwater depletion, surface water contamination, and reduced agricultural productivity.

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Answer: -3x³ - 6x²  + 8x

Step-by-step explanation:

      In standard form, we order the terms in a polynomial with the highest degree on the left down to the lowest degree on the right. Make sure to keep the positive or negative "attached" to the mathematical term you are moving.

    Given;

8x - 6x² - 3x³

    3 > 2 > 1, so we will reorder:

-3x³ - 6x²  + 8x

-3x^3-6x^2+8x is the standard form of polynomial 8x-6x^2-3x^3.

Often, we arrange the terms in a polynomial in standard form in which the term with the highest degree is first and is followed by the other terms in order of decreasing powers.

The first term of a polynomial in this form is called the leading term, and the coefficient in this term is called the leading coefficient.

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