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2 years ago

Answer the following questions based on what you know about the points of concurrency.

1 answer:

3 0

Part1:
The answer is "circumcenter".

One of a few centers the triangle can have, the circumcenter is where the perpendicular bisectors of a triangle converge or intersect. The circumcenter is additionally the focal or central point of the triangle's circumcircle - the circle that goes through each of the three of the triangle's vertices.

Part2:
The answer is "centroid".

The centroid of a triangle refers to the intersection point of the three medians of the triangle (every median associating a vertex with the midpoint of the contrary side). It lies on the triangle's Euler line, which additionally experiences different other key focuses including the orthocenter and the circumcenter.

Part3;
The answer is "incenter".

The incenter of a triangle refers to a triangle center, a point characterized for any triangle in a way that is free of the triangle's situation or scale. The incenter might be identically characterized as the point where the interior edge bisectors of the triangle cross, as the point equidistant from the triangle's sides, as the intersection purpose of the average pivot and deepest purpose of the grassfire change of the triangle, and as the inside purpose of the inscribed circle of the triangle.

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A police helicopter is flying at 150 mph at a constant altitude of 0.5 mile above a straight road. The pilot uses radar to deter

natali 33 [55]

Answer:

a) (see attached picture)

b) d, h, velocity of helicopter, dd/dt

in the direction oposite to the movement of the helicopter.

Step-by-step explanation:

In order to solve this problem we must start by drawing a diagram that will represent the situation (see attached picture). As you may see, there is a right triangle being formed by the helicopter, the car and the graound. We can use this to build the equation we are going to use to model the problem.

$d^{2}=h^{2}+x^{2}$

we can use this equation to find the value of x at that very time, so we can do that by solving the equation for x, so we get:

$x=\sqrt{d^{2}-h^{2}}$

and substitute the given values:

$x=\sqrt{(1)^{2}-(0.5)^{2}}$

which yields:

x=0.866mi

we know that the height of the helicopter is going to be constant, so we rewrite the equation as:

$d^{2}=(0.5)^{2}+x^{2}$

$d^{2}=0.25+x^{2}$

Next, we can go ahead and differentiate the equation so we get:

$2d\frac{dd}{dt}=2x\frac{dx}{dt}$

which can be simplified to:

$d\frac{dd}{dt}=x\frac{dx}{dt}$

we can next solve the equation for dx/dt so we get:

$\frac{dx}{dt}=\frac{d}{x}*\frac{dd}{dt}$

so we can now substitue te provided values so we get:

$\frac{dx}{dt}=\frac{1}{0.866}*-190$

so we get:

$\frac{dx}{dt}=-219.40mph$

the negative sign means that the x-value is decreasing.

now, this problem deals with relative velocities, so we get that:

Velocity of car about the helicopter = Velocity of the car - Velocity of the helicopter. Or:

$V_{ch}=V_{c}-V_{h}$

so we can solve this for the actual velocity of the car, so we get:

$V_{c}=V_{ch}+V_{h}$

so we get:

$V_{c}=-219.40mph+150mph$

which yields:

$V_{c}=-69.4mph$

So it has a velocity of 69.4mph in a direction oposite to the helicopter's movement.

4 0

1 year ago

The area of John’s rectangular lawn and cement border is 1222 square feet. If the cement border is 2 feet wide, and the length o

Juliette [100K]

Answer:

idk good luck with that one :)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

In the envelope game, there are two players and two envelopes. One of the envelopes is marked ''player 1 " and the other is mark

svetoff [14.1K]

Answer:

Step-by-step explanation:

a) The game tree for k = 5 has been drawn in the uploaded picture below where C stands for continuing and S stands for stopping:

b) Say we were to use backward induction we can clearly observe that stopping is optimal decision for each player in every round. Starting from last round, if player 1 stops he gets $3 otherwise zero if continues. Hence strategy S is optimal there.

Given this, player 2’s payoff to C is $3, while stopping yields $4, so second player will also chooses to stop. To which, player 1’s payoff in k = 3 from C is $1 and her payoff from S is $2, so she stops.

Given that, player 2 would stop in k = 2, which means that player 1 would stop also in k = 1.

The sub game perfect equilibrium is therefore the profile of strategies where both players always stop: (S, S, S) for player 1, and (S, S) for player 2.

c) Irrespective of whether both players would be better off if they could play the game for several rounds, neither can credibly commit to not stopping when given a chance, and so they both end up with small payoffs.

i hope this helps, cheers

5 0

1 year ago

The following chart shows a store?s records of coat sales over two years. 2 circle graphs. A circle graph titled 2006. Top coats

Mkey [24]

Answer:

<u>The correct answer is A. 16.5%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly and to calculate the trend:

2006 2007 Trend

Top Coats 297 223 -24.92%

Parkas 210 210 + 0%

Jackets 213 285 +33.80%

Raincoats 137 259 +89.05

Trench coats 103 127 +23.30%

Total 960 1,104 +15%

2. If the trend shown in these graphs stays constant, what percent of the market will parkas occupy in 2008?

Let's calculate the percent of the market occupied by parkas.

In 2006 = 210/960 = 21.88%

In 2007 = 210/1,104 = 19.02%

In 2008 = 210/1,270 = 16.54% (210 + 0 = 210; 1,104 + 15% = 1,270)

<u>The correct answer is A. 16.5%</u>

7 0

2 years ago

Read 2 more answers

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged

Over [174]

The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.

A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.

The dimensions of the original photo is 6 x 6.

8 0

2 years ago

Read 2 more answers