Answer:
There are three major trignometric ratios in mathematics and they are:
sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.
Sine(x) = Opp/Hyp
Cosine(x) = Adj/Hyp
Tangent(x) = Opp/Adj
Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent
Step-by-step explanation:
tan 30 = 60/x
Answer: 1.8x
Step-by-step explanation:
Answer:
$6.25 marked up 25% is $7.81
Step-by-step explanation:
First, you have to find what 25% is of 6.25.
Step 1: Our output value is 25.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 25=100%.
Step 4: Similarly, x=6.25%.
Step 5: This results in a pair of simple equations:
25=100%(1)
x=6.25%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
<u>25 </u> = <u>100</u>
x 6.25
Step 7: Again, the reciprocal of both sides gives
<u> x </u> = <u>6.25</u>
25 100
x= 1.5625
x≈ 1.56
Once you've known what 25% is, you add it to 6.25.
1.56+6.25= 7.81
Solution
-6x - 3y = 9 Add 6x to both sides
-6x + 6x - 3y = 9 + 6x
-3y = 9 + 6x Or more conventionally
-3y = 6x + 9 Divide by - 3
y = 6x/-3 + 9/-3
y = - 2x - 3
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