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3 years ago

Identify the domain of this function

Mathematics

2 answers:

slamgirl [31]3 years ago

7 0

When you think of domain, you always think x-values. so the domain values for this graph is (-∞,∞).

Alex17521 [72]3 years ago

7 0

This is a graph of sine. Domain is equal the set of all real numbers:

$D=\mathbb{R}=(-\infty,\ \infty)$

The domain is x-y, for which there is a graph.

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A plane has an airspeed of 111 km/h. It is flying on a bearing of 79 degrees while there is a 25 km/h wind out of the northeast

qwelly [4]

Answer: Ground Speed = 91 km/hr, Bearing = 189°

Step-by-step explanation:

Step 1: Draw a picture (see attached) to determine the angle between the given vectors. Notice that I moved the wind vector 180° so the head of the wind vector would line up with the tail of the plane vector. This created an angle of 34° between the plane and wind vectors. Why?

the dashed line is 45°
79° (plane) - 45° (wind) = 34°

Step 2: Solve for the length of the resultant vector using Law of Cosines

c² = a² + b² - ab cos C

c² = (111)² + (25)² - (111)(25) cos 34°

c² = 12,946 - 4601

c² = 8345

c = 91

Ground speed is 91 km/hr

Step 3: Solve for the bearing of the resultant vector using Law of Sines

$\dfrac{sin\ A}{a}=\dfrac{sin\ C}{c}$

$\dfrac{sin\ A}{25}=\dfrac{sin\ 34}{91}$

$sin\ A=\dfrac{25\ sin\ 34}{91}$

$A=sin^{-1}\bigg(\dfrac{25\ sin\ 34}{91}\bigg)$

A = 9°

Reminder that we moved the wind vector 180° to create the resultant vector so we need to add 180° to our answer.

Bearing = A + 180°

= 9° + 180°

= 189°

7 0

3 years ago

Which is the next step in following construction of a regular hexagon

irinina [24]

Answer:

The square is the next step

Step-by-step explanation:

5 0

3 years ago

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What is the length of each leg of the triangle below?

timama [110]

Answer:

A. 15

Step-by-step explanation:

Hypotenuse = 22

Since the two angles other than the 90° are both

45° , it means that the two legs of the right triangle are of equal length.

So, (x)²+ (x)² = 22²

2x² = 22²

x² = 484/2

x² = 242

x = √242

x = 15.55

x ≈ 15

3 0

2 years ago

Convert 3/8 into decimal

saveliy_v [14]

Divide numerator (top number) by denominator (bottom number). 3 divided by 8. It’s 0.375

3 0

4 years ago

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FIND THE SMALLEST ANGLE IN THE TRIANGLE! PLEASE HELP!! 25 POINTS!!

Elina [12.6K]

From the side/angle inequality, we see that the smallest angle of a triangle must be opposite its shortest side. In this case, that angle is opposite the shortest side $\overline{AC},$ so our answer is $\boxed{\angle B}.$

As for finding its measure (which I'm aware the question probably didn't ask for), we can use the law of cosines:

$5^2=6^2+7^2-2(6)(7)\cos B$

$\cos B=\frac{5}{7}\implies\angle B\approx\boxed{44.4^\circ}.$

3 0

4 years ago

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