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aleksandrvk [35]
3 years ago
9

If sin 30º = cos(3x), then x=_

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

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Find the value of x.
son4ous [18]

Answer:

18.0

Step-by-step explanation:

==>Given:

Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

==>Required:

Value of x to the nearest tenth

==>Solution:

Using the Cosine rule: c² = a² + b² - 2abcos(C)

Let c = x,

a = 16

b = 30

C = 30°

Thus,

c² = 16² + 30² - 2*16*30*cos 30°

c² = 256 + 900 - 960 * 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

8 0
3 years ago
Solve for x: 4 over 5 x + 4 over 3 = 2x x = __________________ Write your answer as a fraction in simplest form. Use the "/" sym
Vesna [10]
4/5x + 4/3 = 2x....there are 2 ways to do this...one with fractions, one without.

with :
4/5x + 4/3 = 2x
4/3 = 2x - 4/5x
4/3 = 10/5x - 4/5x
4/3 = 6/5x
4/3 * 5/6 = x
20/18 = x
10/9 = x

without :
4/5x + 4/3 = 2x....multiply by common denominator of 15
12x + 20 = 30x
20 = 30x - 12x
20 = 18x
20/18 = x
10/9 = x
5 0
3 years ago
Read 2 more answers
What is the value of y when x=3 in this equation y=2x+2
Ksenya-84 [330]

Answer:

8

Step-by-step explanation:

if you substitute 3 for x the equation becomes y=2(3) + 2

using order of operations you multiply 3 by 2 and then add 2 which will give you 8

4 0
3 years ago
What is 15.25 percent of 900
riadik2000 [5.3K]

15.25 percent of 900 will be 137.25 just look it up on google

3 0
3 years ago
Read 2 more answers
1, -5, 25, -125,... ​
nadezda [96]
The answer I believe is the third choice.
3, -2, -7, -12
These all fit into f(n)-5=f(n+1)
8 0
3 years ago
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