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hammer [34]
2 years ago
10

Which identity could be the missing step to verify the identity (cos theta)(csc theta)=cot theta

Mathematics
1 answer:
N76 [4]2 years ago
5 0
(cosx)(cscx) = cotx
cscx = 1/sinx
(cosx)(1/sinx) = (cosx/sinx)
cosx/sinx = cotx

Basically, I noticed that cscx is equivalent to 1 divided by sinx, and then multiplied that fraction by cosx, which got me cosx/sinx. Your quotient identities will tell you that cosx/sinx = cotx
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Javier wants to inscribe a circle inside of the triangle ABC shown in the following figure. He begins by constructing the angle
djyliett [7]
Point D, as shown i the figure, is the intersection of the angle bisectors. This point is the Incircle, or the center of the inscribed circle. 

All 3 angle bisectors meet at D, so drawing the angle bisector of C is useless. (Thus step 4 is not the one).

Since we have the center of the inscribed circle, we want to open the compass so that it touches all 3 sides at one point only, that is, we want the 3 sides to be tangent to this circle.

The segments joining the tangency points and D are 3 radii of the circle. We know that a radius is perpendicular to the tangent it touches. 


Thus, we need to draw an altitude from D to any of the sides. 

Answer: 1 
4 0
2 years ago
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
2 years ago
. (04.07) Luke is keeping track of the total number of hours he exercises. He started the summer having already put in 15 hours,
mojhsa [17]
X is the number of weeks he is exercising starting summer
f(x) is number of total hours he exercised
5 0
2 years ago
Read 2 more answers
Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is
ryzh [129]

Answer:

The correct answer is C.

Step-by-step explanation:

I took the test

8 0
2 years ago
Read 2 more answers
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can
earnstyle [38]

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

3 0
2 years ago
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