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ladessa [460]
4 years ago
9

what is the quotient of 0.457 and 0.12? round to the hundredths place show your work Will.mark brainiest

Mathematics
1 answer:
ExtremeBDS [4]4 years ago
3 0
I stopped the division process once I got to the thousandths place.  0.457 ÷ 0.12 ≈ 3.808.  Rounded to the hundredths place, the answer is 3.81.

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The product of a number, x, and six is four more than the product of the number and three-eighths. Which answer represents this
Step2247 [10]

Answer:

6x = 3/8x + 4

Step-by-step explanation:

The product of a number (x) and 6 ... 6x

is ... =

four more than ... ___ +4

the product of the number and 3/8 ... 3/8x . . . . (goes in the blank that is added to 4).

Thus, this statement is directly translated to ...

... 6x = 3/8x + 4

8 0
3 years ago
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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

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cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

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cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

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Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

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         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

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                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
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worty [1.4K]
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sin(C) = 35sin(61)/45

sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)

C = 42.8639459...
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4 0
3 years ago
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Rus_ich [418]
2n+9+5n=30  combine like terms on left side

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8 0
3 years ago
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hjlf
You mean 40% of 80?

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7 0
2 years ago
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