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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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m<9=130 it also equal to 180 so 130-180 makes m<4= 50

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Find the probability that when a couple has three children, at least one of themis a girl. (Assume that boys and girls are equal
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Answer:   \bold{\dfrac{7}{8}=87.5\%}

<u>Step-by-step explanation:</u>

"At least one girl" means P(1 girl) + P(2 girls) + P(3 girls)   or   1 - P(all boys)

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What is a and b pls answer ASAP I need it !!! Plsss
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Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

  • (6, 10)
  • (a, 8)
  • (4, b)
  • (2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

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