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larisa86 [58]
3 years ago
5

HELP ASAP I WILL GIVE BRAINLIST

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

Step-by-step explanation:

sin ∅ = -(√3)/2

Note that

cos²∅ + sin²∅ = 1

cos²∅ = 1 - sin²∅

= 1 - (-√3 / 2)²

= 1 - (-√3)²/ 2²

= 1 - 3/4

= 1/4

cos²∅ = 1/4

Taking square root of both sides

cos∅ = 1/2

Note that tan∅ = sin∅/cos∅

therefore, tan∅ = -(√3)/2 ÷ 1/2

= -(√3)/2 × 2/1

= -√3

tan∅ = -√3

Since sin∅ = -√3 /2

Then ∅ = -60⁰

The value of ∅ for the given range (third quadrant) is 240⁰.

NB: sin∅ = sin(180-∅)

Also, since 180⁰ is π radians, then ∅ = 4π/3

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kvv77 [185]

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)

I will use the latter: 1 - P(all boys)

P(all boys) = \dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}=\dfrac{1}{8}

1 - P(all\ boys) \quad = \quad 1-\dfrac{1}{8}\quad =\large\boxed{\dfrac{7}{8}}

6 0
3 years ago
the area of a rectangle is 10 square units the length is 2 units and the width is y units 10 = 2y what is the value of y. y = 12
frutty [35]

Answer:

2(5+y)+2y=38 10+2y+2y=38 4y=28 y=7  i think

Step-by-step explanation:

4 0
3 years ago
Five over seven plus blank over six equals fifty one over forty two
NISA [10]

Answer:

The blank is 3

Step-by-step explanation:

1 - Give the blank a variable

x = our blank

2 - Write it out

\frac{5}{7} + \frac{x}{6} = \frac{51}{42}

3 - Get the denominators equal

\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}

4 - Simplify

\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}

5 - Solve for the numerators

30+7x = 51

-30         -30

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6 0
3 years ago
NEED THE CORRECT ANSWER ASAP, PLEASE HELP!!! Drag and drop the expressions into the boxes to correctly complete the proof of the
belka [17]

Answer:

See attached

Step-by-step explanation:

The proof is attached

4 0
3 years ago
Please help i am timed
Svetlanka [38]
7a^3(6a^2 + a)^2 - 4a^6


All we have to do here is basically add and subtract exponents!

(6a^2 + a)^2 = 36a^4 + a^2


7a^3(36a^4 + a^2) - 4a^6


252a^7 + 7a^5 - 4a^6


Answer is C.

5 0
3 years ago
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