Customers of a satellite dish company must pay for installation of the dish, and a monthly fee for service. After 6 months, Ryan
1 answer:
Cost of installation fee is $120.
Step-by-step explanation:
Let,
Monthly fee = x
Installation fee = y
According to given statement;
6x+y=594 Eqn 1
11x+y=989 Eqn 2
Subtracting Eqn 1 from Eqn 2
Putting x=79 in Eqn 1
Cost of installation fee is $120.
Keywords: Linear equations, subtraction
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9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.
