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Degger [83]
3 years ago
9

Find the value of each trigonometric ratio

Mathematics
1 answer:
Aleks [24]3 years ago
8 0
To remember the ratios, use the mnemonic sohcahtoa.
S = O/H
C = A/H
T = O/A
In this case, we want S, sin. The side opposite angle X would be 24. The hypotenuse is 26, so the ratio is 24/26. <span />
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ONE GEOMETRY QUESTION
kondor19780726 [428]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
Which of the following triangle cases may have one, two, or zero solutions?
Lunna [17]
I think the correct answer is B. It is the triangle case SSA that may have one, two, or zero solutions. This case can have either number of solutions but it depends on the sides of the triangle given. Having one solution can be all of the cases except SSS, having 2 solutions can only be applied to SSA.
6 0
3 years ago
Find the area of the circle to the<br> nearest tenth. Use 3.14 for it<br> (11 mm)
Nikolay [14]

Answer:

The area of the circle is 379.94 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 11 mm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (11 mm)²

a = 3.14 * 121 mm²

a = 379.94 mm²

Round to the nearest tenth

a = 379.94 mm² = 379.9 mm²  

The area of the circle is 379.9 mm²

4 0
3 years ago
The ratio of the number of oranges in a fruit salad to people served is 9/40. If Lisa wants to serve 800 people, how many orange
zysi [14]

180

Step-by-step explanation:

9:40

?:800

9×20=180

40×20=800

it is a ratio. 9 oranges to 40 people. 40 times 20 is 800 so you do the same to 9 (which gives you 180)

7 0
2 years ago
Read 2 more answers
a lottery costs $1 per ticket. the player selects a sincle letter from A to T and a single digit from 0 to 9. if both the letter
lara [203]
<h3>Answer:  0.25 dollars (ie 25 cents)</h3>

================================================

Explanation:

The letter T is the 20th letter in the English alphabet. This means that there are 20 letters to pick from to go with the 10 single digit numbers to pick from. We have 20*10 = 200 different combinations (eg: one combination is K4).

Out of these 200 combinations, there is exactly one winning match.

The probability of winning is therefore P(W) = 1/200 = 0.005 and the probability of losing is P(L) = 1-P(W) = 1-0.005 = 0.995 where W and L represent winning and losing respectively.

The net value of winning is V(W) = 250 - 1 = 249 because the player wins $250 but they lose $1 (which is the cost of the ticket). The net value of losing is V(L) = -1, indicating the player has lost that $1 and hasn't gained any money at all.

-----------

To summarize so far:

P(W) = 0.005

P(L) = 0.995

V(W) = 249

V(L) = -1

Multiply the probability P values with the corresponding net values V, then add up the products to get the expected value:

E(X) = P(W)*V(W) + P(L)*V(L)

E(X) = 0.005*249 + 0.995*(-1)

E(X) = 0.25

The expected value is 0.25 dollars or 25 cents

This positive expected value means that the game is favored toward the player, because over the long run, the player gains an average of 25 cents each time they play. On the other side of the spectrum, the lottery company loses on average 25 cents each time. The nonzero expected value means that the game is not fair.

7 0
3 years ago
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