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vagabundo [1.1K]
2 years ago
6

Solve the equation 8 sin x = 2.5 for the interval 0° to 720°

Mathematics
1 answer:
IgorC [24]2 years ago
4 0

Answer:

<em>18.2°, 161.8° and 378.2°</em>

Step-by-step explanation:

Given the expression:

8 sin x = 2.5

Divide both sides by 8

sinx = 2.5/8

Sinx = 0.3125

x = arcsin(0.3125)

x1 = 18.2

Since sin theta is positive in the second quadrant, x2 = 180 - 18.2 = 161.8°

Since our angle must lie in between  0° and 720°,then;

x3 = 360 + 18.2 = 378.2°

<em>Hence the required angles are 18.2°, 161.8° and 378.2°</em>

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Answer:

3

Step-by-step explanation:

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2 years ago
There is 1.95 dollars in a piggy bank and it is made up of 27 coins which are dimes and nickels how many of each coin are there
scZoUnD [109]
If there are 15 nickels which is $0.75 and 12 dimes which is $1.20, then that would equal $1.95 and be 27 coins.
5 0
3 years ago
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Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Leno4ka [110]

Answer: 11) 1/3

12)1/4

13) Likely

Step-by-step explanation:

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3 years ago
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George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl
Brums [2.3K]

Hi there!

<u><em>FACTS</em></u><em> :</em>

<em>To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).</em>

<u>STEPS TO ANSWER:</u>

x = 1 ; y = 90 → \frac{1}{90} = 1 ÷ 90 = <u>0.01111111...</u>


x = 2 ; y = 150 → \frac{2}{150} = 2 ÷ 150 = <u>0.0133333...</u>


x = 3 ; y = 210 → \frac{3}{210} = 3 ÷ 210 = <u>0.01428571</u>


x = 4 ; y = 270 → \frac{4}{270} = 4 ÷ 270 = <u>0.0148148...</u>


x = 5 ; y = 330 → \frac{5}{330} = 5 ÷ 330 = <u>0.01515152</u>


<em>** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.</em>


⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
Write and equation parrallel to y=-5/2x+9 that passes through the <br> point (-6,7).
Black_prince [1.1K]
To be parallel, gradients are the same!
so the gradient is -5/2.
y=-5/2x +c
substitute the points youve been givrn into this to find c!
7=-5/2 (-6) +c
7=15 +c
c must equal -7
y=-5/2x -7
4 0
3 years ago
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