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Fiesta28 [93]
3 years ago
15

The product of two consecutive negative integers is 1122. What are the numbers?

Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer:

(−33)(−34) = 1122

n × ( n + 1 ) = 1122 This gives n 2 + 1 n = 1122 subtracting both sides by 1122 gives n 2 + 1 n − 1122 = 1122 − 1122 or n 2 + 1 n − 1122 = 0 1122 = 33 × 34 ( n − 33 ) × ( n + 34 ) = 0 n = 33 or n = − 34 Negative factors are asked for, so reject n = 33 The factors are − 33 and − 34

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1.) Find the area of the circle at the top ( A= pi x radius squared )
2.) radius is 5.55 (half of 11.1)
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4 0
3 years ago
When Isaac commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a s
mario62 [17]

Answer:

[34,54]

Step-by-step explanation:

-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.

Where:

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-Therefore. the middle 95% interval is calculated as:

CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]

Hence, the interval is [34,54]

5 0
3 years ago
A circus tent is cylindrical upto a height of 3.3 m and conical above it if the diameter of the base is 100m and slant height of
Rina8888 [55]

Total cost of canvas required in making the tent is rupees 79128

<em><u>Solution: </u></em>

Given:

Height of the cylindrical tent = h = 3.3 m

Diameter of it's base = d = 100m

radius = \frac{diameter}{2} = \frac{100}{2} = 50

r = 50 m

<em><u>Curved surface area of cylinder:</u></em>

C.S.A = 2 \pi rh

C.S.A = 2 \times 3.14 \times 50 \times 3.3 = 1036.2

Thus Curved surface area of cylinder = 1036.2 square meter

<em><u>Curved surface area of cone:</u></em>

C.S.A = \pi rl

C.S.A = 3.14 \times 50 \times 56.4 = 8854.8

Thus Curved surface area of cone = 8854.8 square meter

<em><u>Total curved area of tent:</u></em>

⇒ curved area of cone + curved area of cylinder

\rightarrow 8854.8 + 1036.2=9891

Thus total curved area of tent = 9891 square meter

<em><u>find total cost of canvas required in making the tent:</u></em>

The cost of canvas is 8 rupees per square meter

\rightarrow \text{total cost } = 9891 \times 8 = 79128

Thus total cost of canvas required in making the tent is rupees 79128

7 0
3 years ago
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Answer:

Step-by-step explanation:

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