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erastovalidia [21]
3 years ago
7

What are the next 3 terms of the sequence 18,19,20,21

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer:

22,23,24

Step-by-step explanation:

Each term is being added by one. So if you add 1 to the next 3 terms after 21, you get 22,23, and 24.

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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

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

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
Help please I need help
kirza4 [7]
Move the constant to the right by adding it’s opposite to both sides
x+2-2= 7 squared - 2
Next remove the opposites
x= 7 squared -2 is your answer
7 0
4 years ago
Which rule describes the relationship between the x- and y- coordinates on line m?
const2013 [10]

Answer:

y = 2x - 1

Step-by-step explanation:

None of those would be correct, the line on the graph is y = 2x - 1 because the slope of the line is 2 and the y -intercept -1.

You can also check, we know that on the graph the coordinates where the dots are located are: (2,3),(3,5),(4,7) where the first number is x and second is y coordinate.

Check answer:

Let x=2 if this is correct y should be equal to 3 because of the first point (2,3).

y = 2(2)-1 = 4 - 1 = 3

check the other points if you want to confirm.

3 0
3 years ago
If Figure A is multiplied by a scale factor of .5, reflected over the x-axis, and translated 3 units left and 8 units down, whic
Marina CMI [18]

Answer:

A' has the same shape but not the same size as Figure A.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The lighthouse keeper that is at the top of a lighthouse that
Amiraneli [1.4K]

Step-by-step explanation:

Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.

tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)

∴tanθ=88/1532=0.0574

∴θ=tan−1(0.0574)=3.290(2dp)

7 0
3 years ago
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