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Serggg [28]
3 years ago
10

Use double angle formulas to find the exact value of sin2x,cos2x, and tan2x

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0
Sin2x = 2sinxcosx;
cos2x = (cosx)^2 - (sinx)^2;
tan2x = (sin2x)/(cos2x);

 cosx = 5/13 from formula (sinx)^2 + (cosx)^2 = 1;

=> sin2x = 120/169; 
.................................

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SVETLANKA909090 [29]

Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)

Here x_1=16, y_1=4, x_2=34, y_2=40 and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)

$P(x,y)=\left(\frac{ 114}{6}, \frac{60}{6}\right)

$P(x,y)=(19, 10)

The coordinate of point that partitions the segment AB is (19, 10).

4 0
4 years ago
An item is regularly priced at $90 . leila bought it at a discount of 60% off the regular price. how much did leila pay?
forsale [732]
90(.4) = 36

Leila payed $36
3 0
4 years ago
a coin is tossed. find the probability of the coin landing on heads. write your answer as a fraction, percent, and decimal
inysia [295]
Since there are only two sides (heads & tails) to a coin:
Probability (as fraction) - 1/2
Probability (as percent) - 1/2 x 100 = 50%
Probability (as decimal) - 1 x 50/2 x 50 = 50/100 = 0.5


(P.S. Please mark this answer as the brainliest answer... Thank You)
6 0
3 years ago
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VikaD [51]

Answer:

2.3 or 2

Step-by-step explanation:

7 0
3 years ago
15. Work out the<br> area of a<br> rectangle with<br> sides 3.4cm and<br> 4.5cm
pav-90 [236]

Area is length times width so

A = 4.5*3.4 which is 15.3.

The area of the rectangle is 15.3 cm

3 0
3 years ago
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