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solmaris [256]
2 years ago
11

According to the information given, what can you determine about the triangles formed by Tyler, the mirror, and the peak? How do

you know the relationship between the two triangles? (4 points: 2 points for correctly describing the triangles, 2 points for the explanation)

Mathematics
1 answer:
Alona [7]2 years ago
7 0

Answer:

height of the peak AB is 40 feet.

Step-by-step explanation:

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From the top of a 193 foot lighthouse the angle of depression to a ship in ocean is 14° how far is the ship from the base of the
Trava [24]

Answer:

774 feet.

Step-by-step explanation:

Let x represents how far the ship is from the base of the lighthouse.

We use the tangent ratio, which involves opposite over adjacent to find x.

\tan(14 \degree)  =  \frac{opposite}{adjacent}

\tan(14 \degree)  =  \frac{193}{x}

x =  \frac{193}{ \tan(14 \degree) }

x = 774.08

To the nearest whole number, the distance is 774 ft.

4 0
3 years ago
The slope of a line is −3, and a point on the line is (4,−1).
fredd [130]

Answer:

Y= -3x + 11

Step-by-step explanation:

Y= -3x + 11 (-3x is your slope and 11 is your y intercept)

7 0
3 years ago
One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not incl
goldenfox [79]

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let <em>X</em> = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

E(X)=\sum X\cdot P(X)

        =(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20

Thus, the player's expectation is a loss of 20 cents.

4 0
3 years ago
Find the missing character (?)
4vir4ik [10]
The answer is 7, your welcome :).
6 0
4 years ago
Jeff is responsible for buying supplies of food and medication for the dogs and cats at a local shelter. The food and medication
Maru [420]
164x + 24(2x) < = 4240
164x + 48x < = 4240
212x < = 4240
x < = 4240/212
x < = 20

for a dog.....2x = 2 * 20 = 40.....so it costs 40 per dog and 20 per cat
5 0
3 years ago
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