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nlexa [21]
3 years ago
6

Which of the following fractions has the greatest value 6/10, 2/3, 5/8, 7/12

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

2/3

Step-by-step explanation:

6/10=3/5=0.6

2/3 \approx 0.66666667

5/8=0.625

7/12 \approx 0.583333333

The fraction 2/3 has the greatest value.

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The last two.

They are equivalent

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4•3=12 12+12 is 24
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3 years ago
What is the measure of arc HI?
gogolik [260]

Answer:

D. 62˚

Step-by-step explanation:

4 0
3 years ago
Given tan θ = 2 and sin θ < 0. Find cos(θ +pi/4)
Lera25 [3.4K]

Answer:

√10 / 10

Step-by-step explanation:

tan θ > 0 and sin θ < 0, so θ is in quadrant III.  That means cos θ < 0.

cos(θ + π/4)

Use angle sum formula.

cos θ cos(π/4) − sin θ sin(π/4)

½√2 cos θ − ½√2 sin θ

Factor.

½√2 cos θ (1 − tan θ)

½√2 cos θ (1 − 2)

-½√2 cos θ

Write in terms of secant.

-½√2 / sec θ

Use Pythagorean identity (remember that cos θ < 0).

-½√2 / -√(1 + tan²θ)

-½√2 / -√(1 + 2²)

½√2 / √5

√10 / 10

5 0
3 years ago
Which of the following rational functions is graphed below?
Zepler [3.9K]

Answer:

  D.  F(x) = 1/(x +5)²

Step-by-step explanation:

The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...

  F(x) = 1/(x +5)²

_____

<em>Additional comment</em>

The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.

3 0
2 years ago
Professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot. find the recommended slope for a sewe
erik [133]

We have been given that professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot.

Therefore, we can find the slope as:

\text{Slope}=\frac{0.25\text{ inch}}{\text{1 foot}}=\frac{0.25\text{ inch}}{\text{12 inch}}

\text{Slope}=\frac{0.25}{12}=\frac{25}{1200}=\frac{1}{48}

Therefore, the recommended slope for a sewer pipe is \frac{1}{48}


5 0
3 years ago
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