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kompoz [17]
3 years ago
11

Solve 2sin^2x=sinx, if 0

Mathematics
1 answer:
Lorico [155]3 years ago
7 0
Explanation:
sin
x
(
2
sin
x
+
1
)
=
0

Use trig table and unit circle -->
a. sin x = 0 => x = 0, and
x
=
π
and
x
=
2
π
b. 2sin x + 1 = 0 =>
sin
x
=
−
1
2
=>
x
=
7
π
6
and
x
=
11
π
6
.
Finally, within interval
[
0
,
2
π
]
,
there are 5 answers:
0
,
π
,
2
π
,
7
π
6
and
11
π
6
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malfutka [58]
I believe it would be the last answer, 6.25
if this is correct i’m very sorry, but if this helps, please mark brainliest. :)
6 0
2 years ago
2<br> 3(9x - 6) = 4x + 10<br> What is the value of X In the equation
andreev551 [17]

Answer:

Step-by-step explanation:

23(9x-6) = 4x +10            

207x - 138 = 4x +10

203x = 148                                                    

x = 148/203

 or  

3(9x-6) = 4x +10

27x -18 = 4x + 10

   27x - 4x = 10 + 18

          23x = 28

x= 28/23

4 0
2 years ago
Brian runs 3 miles in 25 minutes 30 seconds, and Mary runs 4 miles in 34
Katyanochek1 [597]

Answer:

Same speed.

Step-by-step explanation:

divide Distance by speed

25.5/3=8.5mph

34/4=8.5mph

4 0
3 years ago
In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a st
Natasha_Volkova [10]

Answer:

P(a junior or a senior)=1

Step-by-step explanation:

The formula of the probability is given by:

P(A)=\frac{n(A)}{N}

Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.

In this case, N is the total number of the students of statistics class.

N=18+10=28

The probability of the union of two mutually exclusive events is given by:

P(AUB)=P(A)+P(B)

Therefore:

P(a junior or a senior) =P(a junior)+P(a senior)

Because a student is a junior or a senior, not both.

n(a junior)=18

n(a senior)=10

P(a junior)=18/28

P(a senior) = 10/28

P(a junior or a senior) = 18/28 + 10/28

Solving the sum of the fractions:

P(a junior or a senior) = 28/28 = 1

4 0
3 years ago
A triangle is shown.
aleksklad [387]

Using the Pythagorean Theorem, it is found that the unknown side length of the triangle is of 7.9 cm.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

Researching this problem on the internet, we have that:

  • The unknown side length is of a leg of x.
  • The other leg is of 9 cm.
  • The hypotenuse is of 12 cm.

Hence:

x² + 9² = 12²

x = sqrt(12² - 9²)

x = 7.9 cm.

The unknown side length of the triangle is of 7.9 cm.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

4 0
2 years ago
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