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aksik [14]
3 years ago
7

Write the trigonometric ratio as a fraction. Find the missing angles. sin D = cosF=m

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Sin D = Opp/Hyp

Opposite = 7

Hypotenuse = 25

Substitute:

Sin D = 7/25

D = sin^{-1}(\frac{7}{25})

m<D = 16.3°

✔️Cos F = Adj/Hyp

Adjacent = 7

Hypotenuse = 25

Substitute:

Cos F = 7/25

F = cos^{-1}(\frac{7}{25})

m<D = 73.7°

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For this you will use the tangent function. You have the adjacent side and have to find the opposite side.

tan x = opposite/adjacent
tan 25 = x/15
15 (tan 25) = x
6.9946 = x

So the boat is approximately 6.9946 m away from the lighthouse.
8 0
3 years ago
Solve the following equation algebraically show the steps: <br><br><br> n/3 -5 = 5
Lana71 [14]

\longrightarrow{\green{   \: n = 30 }} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

\frac{n}{3}  - 5 = 5

➼ \:  \frac{n}{3}  = 5 + 5

➼ \:  \frac{n}{3}  = 10

➼ \: n = 10 \times 3

➼ \: n = 30

Therefore, the value of n is 30.

\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}

\frac{30}{3}  - 5 = 5

✒ \: 10 - 5 = 5

✒ \: 5 = 5

✒ \: L.H.S.=R. H. S

Hence verified.

\bold{ \green{ \star{ \orange{Mystique35}}}}⋆

7 0
2 years ago
Two angles are supplementary if their sum is 180 degrees. One angle measures three times the measure of a smaller angle. If X re
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So 3 times the measure of a small angle

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Hope this helps!
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List all prime numbers. between 10 and 20
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B it is between 30 and 60
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Oooh! I love this kind of math, so easy to do!

Like I say ALL the time, if you know how to solve percentages you know how to solve anything that deals with percentages. If you don't izz all gucci! :D

To solve a percentage make it a decimal & multiply. :) (SIMPLE)
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3 years ago
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