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Paraphin [41]
3 years ago
11

Use △XYZ, in which ∠X is a right angle and tanY=815.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

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. A soccer team played 32 games. If they won 25% of them, how many games did the team win?V
Bas_tet [7]

Answer:

8\ games

Step-by-step explanation:

Let

x----->number of games won by the football team

we know that

25\%=25/100=0.25

so

x=0.25(32)=8\ games

8 0
3 years ago
9(3x+6)-6(7x-3)=12 solve and check
nignag [31]
X=4 is the answer to this

6 0
1 year ago
A person x inches tall has a pulse rate of y beats per​ minute, as given approximately by yequals600 x Superscript negative 1 di
tankabanditka [31]

Answer:

a) 5.13beats/min

b) 2.82 beats/min

Step-by-step explanation:

Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75

If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;

y = 600(39)^-1/3

y = {600(1/39)}/3

y = 600/39×3

y = 600/117

y ≈ 5.13beats/min

The instantaneous rate for a 39 inches tall person is 5.13 beats per min

b) For a 71inches tall person, the beat rate will be expressed as;

y = 600(71)^-1/3

y = {600(1/71)}/3

y = 600/71×3

y = 600/213

y ≈ 2.82 beats per minute

The instantaneous rate for a 71 inches tall person is 2.82 beats per min

7 0
3 years ago
Identify the angle relationship, write an equation and Solve for x. ​
irakobra [83]

Answer:

2x-6+x+x=180

4x-6=180

4x=180+6

4x=186

x=\frac{186}{4}=46,5°

Step-by-step explanation: the other angle is equal to his simmetrical, cause the triangle is isosceles, so is value is x. The sum of the angle in a triangle must be 180°

6 0
3 years ago
What is the LCD of 3/5, 1/10, 1/2
ankoles [38]
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