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FrozenT [24]
3 years ago
5

1. The value(s) of x when sin(x) = -1 are x = -90° and 270°?

Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

1. True

2. True

3. y = -1

4. False

Step-by-step explanation:

1 -------------------------

sin(-90) = -1

sin(270) = -1

True

2 --------------------------

y = cos(-90)

y = 0

True

3 -------------------------

y = tan(-45)

y = -1

-1

4 ---------------------------

tan(90) cannot be calculated

False


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What is 108 as a fraction of 648? Give your answer in its simplest form.
geniusboy [140]

Answer:

The simplest form of 108/648 is 16

8 0
3 years ago
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PLEASE HELP ASAP!!
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Answer:

$123

Step-by-step explanation:

230/20=11.5

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4 0
3 years ago
jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0
3 years ago
HELP WILL GIVE BRAINLIEST FOR ANSWER QUICKLY PLEASE HELP
Helen [10]

Answer:

We have sinθ = 12/13

The  method here is to figure out the value of θ

Using a calculator sin^(-1)(12/13) =67.38°

67.38° is in quadrant 1  so we must substract 67.38° from 180° wich is π

  • 180-67.38= 112.61° ⇒ θ= 112.61°

Now time to calculate cos2θ and cosθ using a calculator

  • cosθ = -5/13
  • cos2θ =  -0.7

The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3

5 0
3 years ago
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