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Damm [24]
3 years ago
7

What is the value of x? sin(x+34)°=cos(2x+20)° Enter your answer in the box. x =

Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

The correct answer is -9.73°.

Step-by-step explanation:

The procedure is:

sin(x + 34)°=cos(2x+20)°

⇒ tan\frac{x+34}{2x+20} = 1 ; [assuming cos (2x+20)° \neq0]

⇒ x + 34 = 45 × ( 2x +20)

⇒ x + 34 = 90x + 900

⇒ 89x = -866

⇒ x = -9.73

and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.

Therefore the value of x is given by -9.73°.

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In the distribution, the first quartile,median and mean are 30.8,48.5 and 42.0 respectively. If the co efficient skewness is -0.
finlep [7]

Answer:

The third quartile is 56.45

Step-by-step explanation:

The given parameters are;

The first quartile, Q₁ = 30.8

The median or second quartile, Q₂ = 48.5

The mean, \bar x = 42.0

Coefficient of skewness = -0.38

The Bowley's coefficient of skewness (SK) is given as follows;

SK = \dfrac{Q_3 + Q_1 - 2 \times Q_2}{Q_3 - Q_1}

Plugging in the values, we have;

-0.38 = \dfrac{Q_3 + 30.8 - 2 \times 48.5}{Q_3 - 30.8}

Which gives;

-0.38×(Q₃ - 30.8) = Q₃ + 30.8 - 2 × 48.5

11.704 - 0.38·Q₃ = Q₃ - 66.2

1.38·Q₃ = 11.704 + 66.2 =  77.904

Q₃ = 56.45

The third quartile = 56.45.

5 0
3 years ago
A bakery charges two different prices for desserts. The table shows the number of cupcakes and the number of cookies sold in the
andreev551 [17]

Answer:

hope this helps

Step-by-step explanation:do not need one really

8 0
3 years ago
Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\
Liono4ka [1.6K]

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

\frac{3}{4}  + m =   \frac{5}{4}

Subtract-3/4 from both sides

\frac{3}{4}  -  \frac{3}{4}  + m =  \frac{5}{4}  -  \frac{3}{4}

Simplify

m =  \frac{5}{4}  -  \frac{3}{4}  \\ m =  \frac{1}{2}

7 0
3 years ago
What is 3(x +3) -10 • 5
olga nikolaevna [1]
The answers is =3x−41
8 0
3 years ago
Simplify this expression.<br><br> (1-3k) + (2 + 2.5k)
Crank

(1 - 3k) + (2 + 2.5k)

= 1 - 3k + 2 + 2.5k

= (1 + 2) + ( - 3k + 2.5k)

= 3  + ( - 0.5k)

= 3 - 0.5k

7 0
3 years ago
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