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WITCHER [35]
3 years ago
7

How many complete rotations does the minute hand of a clock make as it moves from 12:00 noon to 4:00 p.m.?

Mathematics
2 answers:
Elenna [48]3 years ago
8 0

Answer:

4\ rotations

Step-by-step explanation:

we know that

The minute hand of a clock will make one rotation in one hour

12:00 noon to 4:00 p.m is equal to 4\ hours

so

by proportion

Find how many rotations will make in 4 hours


\frac{1}{1} \frac{rotation}{hour}=\frac{x}{4} \frac{rotation}{hours} \\ \\ x=4\ rotations

Ilia_Sergeevich [38]3 years ago
8 0

Answer:

it would be 4 complete rotations

Step-by-step explanation:

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connie sells lemonade for $0.25 per small cup and $0.75 per large cup. if she sells 20 small cups how many large ones must she s
Nady [450]

Answer:34

Step-by-step explanation:

8 0
3 years ago
If sin tetha=root3/2, what is cos tetha?​
Minchanka [31]

Answer:

The value of cos Ф is ± \frac{1}{2}

Step-by-step explanation:

There are important rules for sin Ф and cos Ф

  • sin²Ф + cos²Ф = 1
  • sin²Ф = 1 - cos²Ф
  • cos²Ф = 1 - sin²Ф

∵ sin Ф = \frac{\sqrt{3}}{2}

∴ sin²Ф = (\frac{\sqrt{3}}{2})^{2}

∴ sin²Ф = \frac{3}{4}

→ By using the third rule above

∵ cos²Ф = 1 - sin²Ф

∴ cos²Ф = 1 - \frac{3}{4}

∴ cos²Ф = \frac{1}{4}

→ Take square root for both sides

∴ cos Ф = ± \frac{1}{2}

∴ The value of cos Ф is ± \frac{1}{2}

6 0
3 years ago
What are the x-intercepts of y=x^2+2x-15
Sedbober [7]

Answer:

(-5,0) and (3,0)

Step-by-step explanation:

Think about it.

What two numbers multiply to -15 and add up to 2?

The answers are 5 and -3.

So plug that into the factored form of a parabola.

y=(x+5)(x-3)

To find the x-intercepts, plug in 0 for y.

(x+5)(x-3)=0

Since we are multiplying, at least one of the terms has to equal 0.

x+5=0 \\ x-3=0 \\ \\ x=-5,3

So the x-intercepts are (-5,0) and (3,0).

8 0
3 years ago
Let HH represent the number of hummingbirds and SS represent the number of sunbirds that must pollinate the colony so it can sur
Nikitich [7]

Answer: 7

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Here the given inequality that shows the number of humming birds(H) and the number of sunbirds(S)  that must pollinate the colony so it can survive until next year,

6 H + 4 S > 74

If This year, 8 hummingbirds pollinated the colony.

By putting H=8 in the above inequality,

We get,

6× 8 + 4 S > 74

⇒ 48 + 4 S > 74

⇒ 4 S > 26

⇒ S > 6.5

Hence the least number of sunbirds is 7.

7 0
3 years ago
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The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor?
Nikitich [7]

1) both  have  positives    signs    OR

2) both  have    negatives signs

7 0
3 years ago
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