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Mariulka [41]
4 years ago
13

If sin Ѳ = cos 40, find the value Ѳ

Mathematics
2 answers:
Jet001 [13]4 years ago
7 0

Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x)

Given

cos40° = sin(90 - 40)° = sin50° ⇒ Θ = 50°

Andrej [43]4 years ago
7 0

Answer:

Ѳ = 50

Step-by-step explanation:

Sin Ѳ = cos 40

Ѳ =  \sin ^{ - 1} ( \cos(40) )

Simplify

Ѳ =   sin^{ - 1} (0.7660444431) \\Ѳ = 50

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Answer:

the blue dot is at -11 value on the number line.

5 0
3 years ago
The following data represent the flight time​ (in minutes) of a random sample of seven flights from one city to another city. 28
anzhelika [568]

Answer:

Range = 281-256= 25

In order to calculate the sample deviation we need to calculate the mean given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= 265

And the standard deviation can be calculated with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s = 8.426

Step-by-step explanation:

For this case we have the following data given:

281​, 269​, 259​, 265​, 256​, 259​, 266

The range is defined as:

Range = Max -Min

And if we replace we got:

Range = 281-256= 25

In order to calculate the sample deviation we need to calculate the mean given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= 265

And the standard deviation can be calculated with this formula"

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s = 8.426

4 0
3 years ago
Help me out, please :}
grandymaker [24]

Answer:

sorry in advance!

1,3?

Step-by-step explanation:

3 0
3 years ago
A high school Band has a budget of $1500 this year. They plan to go to the State Competition which cost $450. How many Members o
zheka24 [161]

Answer:

n < 42

Step-by-step explanation:

450 + 25n < 1500   (Has to be less than 1500)

25n < 1500 - 450

25n < 1050

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6 0
3 years ago
Read 2 more answers
A trapezoid has a base of 12 inches and 50
Delicious77 [7]

Answer:

Step-by-step explanation:

Givens

b1 = 12

b2 = 50

h = 21

Area = ?

Equation

Area = (b1 + b2) * h / 2

Solution

Area = (12 + 50) * 21 / 2

Area = 62 * 21 / 2

Area = 31 * 21

Area = 651

4 0
3 years ago
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