Adam and Kevin are standing 35 metres apart, on opposite sides of a flagpole. From Adam’s position, the angle of elevation of the top of the flagpole is 36°. From Kevin’s position, the angle of elevation is 50°. How high is the flagpole?

Answer:

B.)0=26

Step-by-step explanation: Keep it simple

In the scenario where a pizza bill is split between Alice, Bob, Farhana, and Jamal, Farhana ends up paying the most since she covers approximately 33.33% of the total bill.

The question asks about Alice, Bob, Farhana, and Jamal splitting a pizza bill and figuring out who paid the most. Alice paid 25% (0.25) of the total bill, Bob paid 30% (0.30), Farhana paid a third which is approximately 33.33% (1/3), and Jamal paid 12% (0.12). Given these percentages, it is clear that Farhana paid the most for the pizza because 33.33% is the largest percentage amongst all. Therefore, irrespective of the total bill amount, Farhana ended up paying the highest portion.

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The answer is 864 cm³

Answer:

-28x^4y^6

Step-by-step explanation:

Given are two terms as

[tex]-4x^3y^2[/tex] and

[tex]7xy^4[/tex]

To find the product

we group like terms and find their product

Here we have -4 and 7 for coefficients : Product =-28

x terms are x^3 and x  hence product = x^(1+3) =x^4

y terms are y^2 and y^4 hence product = y^(2+4) = y^6

Hence product is

[tex]-28x^4y^6[/tex]

Answer:  The graphs are attached.

Step-by-step explanation:  We are to describe the graph of the function [tex]y=\dfrac{1}{2x-10}-3[/tex] compared to the graph of the function [tex]y=\dfrac{1}{x}.[/tex]

The graphs of both the functions are shown in the attached figure.

We can see that the graph of the function [tex]y=\dfrac{1}{2x-10}-3[/tex] is stretched by a factor of 0.5, shifted 5 units to the right and 3 units downwards as compared to the graph of the function [tex]y=\dfrac{1}{x}.[/tex]

Answer:

The graph of [tex]y=\frac{1}{2x-10}-3[/tex] is the graph of [tex]y=\frac{1}{x}[/tex] stretched vertically, shifted right by 10 unit and shifted 3 unit down.

Step-by-step explanation:

Given : The graph of [tex]y=\frac{1}{2x-10}-3[/tex] compared to the graph of [tex]y=\frac{1}{x}[/tex]  

To find : Describe the comparison of the graphs.

Solution :  

Let the parent function be[tex]y_1=\frac{1}{x}[/tex]

Transformed function [tex]y_2=\frac{1}{2x-10}-3[/tex]

Vertically Stretch:

If y =f(x) , then y= a f(x) gives a vertical stretch if a> 1.  

Multiplying the parent function by 2 means you are stretching it vertically,  

i,e [tex]y_1=\frac{1}{x} \rightarrow \text{Vertically stretch by 2} \rightarrow \frac{1}{2x} [/tex]

Shifting right :  

f(x)→f(x-b), graph is transformed by b unit

Subtracting 10 means you are moving it right by 10 units  

[tex]y_1=\frac{1}{2x} \rightarrow \text{Shifted right by 10 units} \rightarrow y_1=\frac{1}{2x-10}[/tex]

Shifting down :  

f(x)→f(x)-b  , graph is transformed by b unit

Subtracting 3 means you are moving it down by 3 units  

[tex]y_1=\frac{1}{2x-10} \rightarrow \text{Shifted down by 3 units} \rightarrow y_1=\frac{1}{2x-10}-3=y_2[/tex]

Refer the attached figure below.  

The graph of [tex]y=\frac{1}{2x-10}-3[/tex] is the graph of [tex]y=\frac{1}{x}[/tex] stretched vertically, shifted right by 10 unit and shifted 3 unit down.

Final answer:

The additive inverse of the polynomial  [tex](0.6t^2 + 8 - 18t)[/tex]being subtracted is [tex]-0.6t^2 - 8 + 18t.[/tex] This involves changing the sign of each term in the polynomial.

Explanation:

The additive inverse of a polynomial is obtained by changing the sign of each term in the polynomial. Given the polynomial to be subtracted ( [tex]0.6t^2 + 8 - 18t)[/tex], its additive inverse is found by changing the sign of each term, resulting in [tex]-0.6t^2 - 8 + 18t.[/tex] This operation flips the signs, preparing the polynomial for the subtraction process without altering its magnitude but reversing its direction on the number line.

Answer:

The correct answer is D) y= -1/2x-8.

Step-by-step explanation:

Edge 2021.

Answer:

400

Step-by-step explanation:

Answer:

2y=-14

Step-by-step explanation:

If y=-7 and you multiply y by 2, you do the same thing to both sides and get -7 × 2 = -14

Answer:

The solutions are [tex]1.94[/tex] and [tex]-1.94[/tex]

Step-by-step explanation:

we have

[tex]8x^{2} +5=35[/tex]

Solve for x

Subtract [tex]5[/tex] both sides

[tex]8x^{2} +5-5=35-5[/tex]

[tex]8x^{2}=30[/tex]

Divide by [tex]8[/tex] both sides

[tex]8x^{2}/8=30/8[/tex]

[tex]x^{2}=15/4[/tex]

Take square root both sides

[tex]x=(+/-)\sqrt{\frac{15}{4}} \\ \\x1=\frac{\sqrt{15}}{2}=1.94\\ \\x2=-\frac{\sqrt{15}}{2}=-1.94[/tex]

The solutions are [tex]1.94[/tex] and [tex]-1.94[/tex]

Answer:

Circle with a radius of 2 feet

Step-by-step explanation:

The average price of the textbooks Will bought is $39, calculated by adding the individual prices and dividing by the number of books.

To calculate the average price of the textbooks Will bought, we simply sum up the costs of the three textbooks and divide by the number of textbooks. Let's do the math:

The average price of the textbooks is $39.

The part of a line that connects two points.

It has definite end points.

Adding the word "segment" is important, because a line normally extends in both directions without end.

A diagram of line segment is attached with the solution .

Answer:

The answer would be 72

The numbers 5 x 10⁴, 7 x 10⁻⁵, 3 x 10⁻⁹, and 8 x 10⁴ ordered from least to greatest are 3 x 10⁻⁹, 7 x 10⁻⁵, 5 x 10⁴, and 8 x 10⁴.

The order of the numbers 5 x 10⁴, 7 x 10⁻⁵, 3 x 10⁻⁹, and 8 x 10⁴ from least to greatest is as follows:

Here, the least number is 3 x 10⁻⁹ because it has the smallest exponent indicating the smallest value.

The greatest number is 8 x 10⁴, which has the highest exponent denoting the largest value.