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Karo-lina-s [1.5K]
3 years ago
5

What is 3 1/3 divided by 1/3

Mathematics
2 answers:
RSB [31]3 years ago
5 0
3\frac{1}{3} ÷ \frac{1}{3}
= \frac{10}{3} ÷ \frac{1}{3} (you want 3\frac{1}{3} to be one fraction) 
= \frac{10}{3} × \frac{3}{1} (reciprocal of \frac{1}{3} ) 

= \frac{30}{3}
= 10
saveliy_v [14]3 years ago
4 0
Convert 3 1/3 into a improper fraction:
= 10/3

Then flip the other fraction around and multiply them together:
1/3 -> 3/1
(10*3)/(3*1) = 30/3 = (30/3)/(3/3) = 10/1 = 10

The answer is 10
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A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
xz_007 [3.2K]
Answer: The correct answer is Choice D.

If 24 percent of the snack mix is pretzel, we simply need to multiply the total number of ounces by 0.24.

0.24 x 32 = 7.68

7.68 ounces of the snack mix will be pretzels.
8 0
3 years ago
Read 2 more answers
find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)
frutty [35]

Answer:

cosФ = \frac{1}{\sqrt{65}} , sinФ = -\frac{8}{\sqrt{65}} , tanФ = -8, secФ = \sqrt{65} , cscФ = -\frac{\sqrt{65}}{8} , cotФ = -\frac{1}{8}

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

  1. cosФ = \frac{x}{r}
  2. sinФ = \frac{y}{r}
  3. tanФ = \frac{y}{x}
  4. secФ = \frac{r}{x}
  5. cscФ = \frac{r}{y}
  6. cotФ = \frac{x}{y}
  • Where r = \sqrt{x^{2}+y^{2} } (the length of the terminal side from the origin to point (x, y)
  • You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = \sqrt{x^{2}+y^{2} }

∵ x = 1 and y = -8

∴ r = \sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = \frac{x}{r}

∴ cosФ = \frac{1}{\sqrt{65}}

∵ sinФ = \frac{y}{r}

∴ sinФ = -\frac{8}{\sqrt{65}}

∵ tanФ = \frac{y}{x}

∴ tanФ = -\frac{8}{1} = -8

∵ secФ = \frac{r}{x}

∴ secФ = \frac{\sqrt{65}}{1} = \sqrt{65}

∵ cscФ = \frac{r}{y}

∴ cscФ = -\frac{\sqrt{65}}{8}

∵ cotФ = \frac{x}{y}

∴ cotФ = -\frac{1}{8}    

8 0
3 years ago
There are two bowls. One of them has 60 gems and the other has 40 gems. Some of them are red. All the gems from the two bowls ar
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Answer:

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nata0808 [166]

Answer:

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Step-by-step explanation:

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it may be 79 or 7090 or

Step-by-step explanation

if u subtract 7595-55=7540

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