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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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What is the average rate of change of the function on the interval from x = 1 to x = 2?
neonofarm [45]

x=1 f = 10(5.5)(1) = 55

x=2, f = 10(5.5)(2) = 110

110-55 = 55

2-1 =1

55/1 = 55

 average rate of change = 55

6 0
2 years ago
24% of what number is 72
nignag [31]

Answer:

300

Step-by-step explanation:

24% × x = 72

or,   24 /100

× x = 72

we have x = 72 ×  100 /24

x = 300

Hope it helps

4 0
3 years ago
Find the value of x. help with geometry pls
Ivan

Answer:

Find the value of x:-

To find Y, use Pythagorean theorem:- c^{2} =a^{2} +b^{2}

(2.1)^{2} =y^{2} +(1.4)^{2}

2.1^{2}=4.41

1.4^{2} =1.96

4.41=y^{2} +1.96

subtract 1.96 from both sides

2.45=y^{2}

y=1.5652

Now, to find x:-

x=y+y

= 1.5632+1.5652

x=3.1 \: ft

<u>~OAmalOHopeO</u>

6 0
2 years ago
A bag contains 6 red balls and 3 blue balls. 4 balls are selected at random. find the probability of selecting 4 red balls.
geniusboy [140]
Assuming that the balls are not replaced; 

\frac{6}{9}* \frac{5}{8}* \frac{4}{7}* \frac{3}{6}= 5/42 

(the numbers are decreasing in the denominator as you are presumably taking out the red balls. In the denominator, there is one less ball each time since you took out a red one). 

Therefore, the probability of selected 4 red balls consecutively without replacement is 5/42. 

Hope I Helped :) 

4 0
3 years ago
Need help! much appreciated
Volgvan

Answer:

C-D = <u>6</u>

A-B = <u>3.25</u>

D = <u>118</u>

Step-by-step explanation:

C-D = 6 because the line is the same as B-C

A-B = 3.25 because the line is the same as A-D

D = 118 because the angle of B is vertically opposite to D

7 0
3 years ago
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