Mia is standing 210 yd from a radio tower. The angle of elevation from where she is standing on the ground to the top of the tower is 11°. How tall is the radio tower?

Yes, the centroid of a triangle is equidistant from the three vertices.

Yes, the centroid of a triangle is indeed equidistant from the three vertices.

The centroid of a triangle is the point where the three medians of the triangle intersect. A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

Since the medians of a triangle intersect at the centroid, the distances from the centroid to each vertex along the medians are equal. This property can be proven using properties of similar triangles.

Using the weighed mean, it is found that the mean of all 20 numbers is of 33.

The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

In this problem, the means are divided as follows.

Hence:

[tex]M = \frac{20(7) + 40(13)}{20} = 33[/tex]

The mean of all 20 numbers is of 33.

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Answer:

The slopes of the graphs are the same and the y-intercepts of the graphs are different.

Step-by-step explanation:

To solve the problem we must know about density.

The different weight shows that the solids have different density.

Given to us

We know that weight is the product of mass and acceleration due to gravity, also, mass is the product of density and volume.

[tex]\rm{ weight = mass \times acceleration\ due\ to\ gravity[/tex]

[tex]\rm{ w = m \times g[/tex]

[tex]\rm{ Mass = density \times volume[/tex]

[tex]m = \rho \times v[/tex]

In the three solids given, the acceleration due to gravity will be the same, also, it is already mentioned that the volume of the three materials is the same that is 1 cubic centimeter.

[tex]w = m \times g\\w = (\rho \times v) \times g\\\\w = \rho \times 1\ cm^3 \times 9.81[/tex]

Therefore, the only thing that can vary is the density of the solids. Hence, the different weight shows that the solids have different density, the more is the weight the more is the density of the solid.

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Answer:

You should load 25 crates onto a truck.

Step-by-step explanation:

Given:

There are 225 boxes.

Each crate containing 9 boxes.

We need to find the number of crates that containing 225 boxes.

Here we use division to find the answer.

Number of crates  = Total number of boxes / Number of boxes in each crate

= 225/9

= 25

You should load 25 crates onto a truck.

The correct statement is:

We know that the general form of a slope intercept form of a line is given by:

[tex]y=mx+c[/tex]

where m is the slope of the line and c is the y-intercept of a line.

The function f(x) is given by:

[tex]f(x)=-2x-1[/tex]

Hence, on comparing the function to the slope-intercept form of a line we get

The y-intercept of function f(x) is: -1

Also, the table for the function g(x) is given by:

         x           g(x)

         2            2

         4            6

         6           10

The function g(x) satisfies the equation:

[tex]g(x)=2x-2[/tex]

The y-intercept of the function g(x) is: -2

Since we know that:

  -1 > -2

This means that the y-intercept of the function f(x) is higher than the y-intercept of the function g(x).

Answer: The number 3 is missing from the table!

Step-by-step explanation:

It would cost 2.50 dollars to play 10 pinball games

The truth is when V increases, W tends to increase. Positive correlation between two variables in which both variables move in tandem. Positive correlation exists when one variable decreases as the other also decreases or one variable increases while others increase too.

Answer: A.) when V increases, w tends to increase

Step-by-step explanation:

Positive correlation is a relationship between two variables in which both variables move with the same ratio. A positive correlation exists when one variable increases as the other variable increases, or vice-versa.

A perfect positive correlation means that both variables move by the exact same percentage.

Therefore, if there is a strong positive correlation between v and w then when V increases, w tends to increase .

The final expression will be equal to 3p(f - 7p)( f + 2).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

First find the GCF - this is 3p which we take out:-

E= 3p(f² - 7pf + 2f - 14p)

Factor the terms in the parentheses by grouping:-

E= 3p [f(f - 7p) + 2(f - 7p)]

E= 3p(f - 7p)( f + 2)

Therefore, the final expression will be equal to 3p(f - 7p)( f + 2).

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In Les Miserables, given specific seating arrangements around a circular table with 13 people, there are 16,320 ways to seat them as per the specified conditions.

Step-by-step explanation:

Answer: 8.18 cubic centimeters

Step-by-step explanation:

Given : A ball bearing is shaped like a sphere .

The diameter of ball = 2.5 centimeters

Then , the radius of the ball =[tex]\dfrac{2.5}{2}=1.25\text{ cm}[/tex]

We know that the volume of a sphere is given by :-

[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex]

Then , the volume of ball is given by :-

[tex]\text{Volume}=\dfrac{4}{3}(3.14) (1.25)^3\\\\\Rightarrow\ \text{Volume}=8.17708333333\approx8.18\text{ cubic centimeters}[/tex]

Final answer:

The value of m – n when m = –2.6 and n = 7.9 is –10.5, which is an option (a).

Explanation:

To evaluate m – n when m = –2.6 and n = 7.9, we simply substitute the given values into the expression and perform the subtraction:

m – n = –2.6 – 7.9

Since subtracting a positive number is the same as adding its negative, this is equivalent to:

m – n = –2.6 + (–7.9)

Adding these two negative numbers together gives us:

m – n = –10.5

Therefore, the correct answer is a. –10.5.

without seeing the chart, I hope I have the columns and labels correct,

 but it looks like 28 students like both diving and boxing.

 there is a total of 65 students

28/65 = 0.4307, which rounds to 0.431

 which is 43.1%

Rip the 4 tickets in half lol

Final answer:

This detailed answer explains the probability of selecting a heart or a face card from a standard deck of cards and the calculation involved.

Explanation:

Calculate the probability of selecting a heart or a face card from a standard deck of cards:

By the principle of inclusion-exclusion, you add the probabilities of selecting a heart and a face card and subtract the probability of both (heart face cards, which are only the face cards that are hearts - 3 cards):

(1/4) + (3/13) - (3/52) = 39/52 = 3/4

Answer:

(3x+8)^2

Step-by-step explanation:

(3x+8)^2

The speed of the eastbound car is 56 miles per hour.

Let x be the speed of the westbound car. Since the eastbound car is going 4 miles per hour faster, the speed of the eastbound car is  x + 4 .

The combined speed of both cars is x + (x + 4) = 2x + 4  miles per hour. In 2 hours, the cars cover a distance of 2(2x + 4) = 4x + 8 miles. This distance is equal to the sum of the distances covered by each car when moving towards each other.

Given that the cars are 208 miles apart, we can set up the equation:

4x + 8 = 208

Subtracting 8 from both sides:

4x = 200

Dividing both sides by 4:

x = 50

So, the speed of the westbound car is 50 miles per hour, and the speed of the eastbound car is 50 + 4 = 54 miles per hour. Therefore, the eastbound car is moving at 54  miles per hour.

In the end, the eastbound car's speed is 54 miles per hour, which is  4  miles per hour faster than the westbound car's speed of 50  miles per hour.

An eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 hours after passing each other on a highway. what is the speed, in miles per hour, of the eastbound car?