Write 2 expressions using trigonometric ratios that are equivalent to 40/41.

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

cos(F) = 40/41

sin(G) = 40/41

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

In your triangle 41 is the hypotenuse, so these two ratios are appropriate ones to use. The side of length 40 is adjacent to angle F, so

... cos(F) = 40/41

and the side of length 40 is opposite angle G, so

... sin(G) = 40/41

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olasank [31]

Answer:

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Step-by-step explanation:

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3 years ago

a bookshelf is 17 inches wide. there is enough room for 2 trophies. one trophy is 5 inches wider than the other. how wide is eac

kicyunya [14]

We need to compute for the length of each trophy given that one trophy is 5 inches wider than the other.
Let x be the length of the first trophy.
Let x+5 be the length of the second trophy
The solution is shown below:
x + (x + 5) = 17
x + x + 5 =17
2x =17 -5
2x = 12
x = 12/2
x=6 (for the first trophy)
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The first trophy is 6 inches wide while the second trophy is 11 inches wide.

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4 years ago

Brittany bought 3 bracelets and 2 necklaces for $21. Each bracelet cost $5. The necklaces were all the same price. What is the c

Kipish [7]

Answer:

The cost for 1 necklace is $3.

Step-by-step explanation:

With the information provided, you can say that the amount spent in bracelets and necklaces is equal to the price per bracelet for the number of bracelets plus the price per necklace for the number of necklaces, which is:

c=3x+2y, where:

c is the total cost

x is the price per bracelet

y is the price per necklace

Now, you can say that c=21 and x=5 and solve for y to find the price per necklace:

21=(3*5)+2y

21=15+2y

21-15=2y

6=2y

y=6/2

y=3

According to this, the answer is that the cost for 1 necklace is $3.