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3 years ago

Sum of natural numbers between 10 and 100 and divisible by 4

1 answer:

7 0

Numbers 10-100 that are divisible by 4:

12
16
20
24
28
32
36
40
44
48
52
56
60
64
68
72
76
80
84
88
92
96
100

Total: 1288

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Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

3 0

3 years ago

Read 2 more answers

Triangle Q R S is shown. Angle Q R S is 100 degrees. The length of Q R is 2.4 and the length of Q S is 3.5. Law of sines: StartF

Orlov [11]

Answer:

StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction

in other words, A.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The following data points represent the number of points scored by each player on the Wildcats basketball team last game. ______

scoundrel [369]

Answer:

Step-by-step explanation:

If you take the lowest half of the data (from the lower extreme to the median) and find the median of these numbers, that is called the lower quartile or quartile 1.
If you take the upper half of the data (from the upper extreme to the median) and find the median of these numbers, that is called the upper quartile or quartile 3.
The interquartile range is the difference between quartile 1 and quartile 3.

4, 5, 6, 8, 9, 10, 11, 13
Median=8.5
Q1=6.5
Q3=10.5
10.5-6.5=4

I also added my PowerPoint if you didn't get what I was saying.

Download pptx

7 0

3 years ago

Help me pleaseeeeeeeeeeee

zavuch27 [327]

O.6 easy because of the answer that is why

4 0

3 years ago

a satelite moves at the speed of 27,000 kilometers per hour what 4 number could be the actually speed of the satelite

Anvisha [2.4K]

If the satellite moves at a speed of 27,000 km p/h, your answer depends on the question.

This could be written in an algebraic expression, such as:

27,000x = S [for S stands for the ultimate speed of the satellite]

Of course, if this is a 3rd grade level question, I highly doubt they have even gotten started to including the alphabet into math.

So, I would suggest plugging 4 into X.
To explain this to her, just say that the speed needs to be multiplied by the amount of hours it has traveled. (I got 4 because there is a '4' in the question instead of 'for').

Meaning,
27,000 x 4 = 108,000 km per 4 hours

If her teacher decides to ask why that number, have her explain the question did not make sense so she plugged in a 4 to find an answer to a certain amount of hours.

Hope that helps a bit with the confusion!

7 0

3 years ago

Sum of natural numbers between 10 and 100 and divisible by 4​

Sum of natural numbers between 10 and 100 and divisible by 4