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Mariana [72]
3 years ago
7

What is the reciprocal of the sum of a half, a third, and a fourth?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer

12/13

Step-by-step explanation:

1/2+1/3+1/4=?

6/12+4/12+3/12=?

13/12

Reciprocal is 12/13

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Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 4, and b = 10.
sweet [91]

Answer:

None

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

4 0
3 years ago
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Joe’s balance in his checking account at the beginning of the month was $132. At the end of the month, it was 15.3% higher. What
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The answer would be $152.20 because 132*1.153=152.196, rounded to $152.20.
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3 years ago
Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He read
AleksAgata [21]

Answer:

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Step-by-step explanation:

Let

x = days he reads for 4.5 hours

y = days he reads for 3.5 hours

x + y = 7 (1)

4.5x + 3.5y = 25.5 (2)

From (1)

x = 7 - y

Substitute x = 7 - y into (2)

4.5x + 3.5y = 25.5 (2)

4.5(7 - y) + 3.5y = 25.5

31.5 - 4.5y + 3.5y = 25.5

- 4.5y + 3.5y = 25.5 - 31.5

-y = -6

y = 6

Substitute y = 6 into (1)

x + y = 7 (1)

x + 6 = 7

x = 7 - 6

x = 1

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

4 0
3 years ago
Noah has two pieces of cloth. He is making square banners for students to hold during the opening day game. One piece of cloth i
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Answer:

21

Explanation:

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3 years ago
Are the ratios 15:10 and 3:2 equivalent? yes no​
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Answer:

yesss they are

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3 years ago
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