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umka2103 [35]
3 years ago
7

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

ngle
Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

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What the slope and y intercept ? and how did you find it ?
EastWind [94]

Answer:

Slope: m=4

y-intercept: b=-1

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

In this case you can say that:

y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when x=0, y=-1

Therefore, the y-intercept is:

b=-1

7 0
3 years ago
110 is 45% of what number
aev [14]

Answer:49.5

Step-by-step explanation:

To find the 45% of 110

45/100×110

=49.5

5 0
3 years ago
Read 2 more answers
In the system –12c + 3d = 6 and –3c + 6d = –9, which expression could you use for substitution?
Jlenok [28]
3d is the answer if I am wrong please let me know

5 0
2 years ago
Tom has 2 more than 5 times the number of CD’s that Jane has. Jane has 5 CD’s. Write an
Soloha48 [4]

Step-by-step explanation:

t=2+5×j

j=5

t=2+5×5

t=27

3 0
3 years ago
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Fourteen out of 20 teens said they eat breakfast every morning what is a reasonable prediction for the number of teens out of 12
Oksi-84 [34.3K]

Answer:

896

Step-by-step explanation:

14 of 20 teens eats breakfast every morning.

The percentage of those who eat breakfast every morning

= 14/20 x 100%

= 0.7 x 100%

= 70%

So, 70% of 20 teens eat breakfast every morning.

The reasonable prediction for the number of teens that eats breakfast every morning from 1280 teens will be 70% of 1280.

70/100 x 1280

0.7 x 1280

896

The prediction would be 896 out of 1280 teens eats breakfast every morning

8 0
3 years ago
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