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marusya05 [52]
3 years ago
15

The pyramid shown has a square base that is 12 inches on each side. It has a surface area of 336 square inches. What is the slan

t height?
Mathematics
2 answers:
blagie [28]3 years ago
7 0
Let b and h represent the length of the side of the base and the slant height, respectively. Then the total surface area is
  A = b² + 4*(1/2)bh
  A = b² +2bh

Substituting the given numbers, you have
  336 = 12² +2·12·h
  192 = 24h . . . . . . . . . subtract 12² = 144
  8 = h . . . . . . . . . . . . . divide by 24

The slant height is 8 inches.
zalisa [80]3 years ago
3 0

Answer:

The slant height is 8 inches

Step-by-step explanation:

your welcome

give me brainliest

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Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of fat?
kompoz [17]

Answer:

40 apples

Step-by-step explanation:

If 2 apples is 1/5 of a gram of fat, then 5*2 (or 10) apples will have a total of 1 gram of fat. Therefore, 4*5*2 (or 40) apples will have a total of 4 grams of fat.

Sorry I didn't get to you guys in time. Hopefully this answer helps students in the future.

3 0
3 years ago
If tan 3x =<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="\sqrt{x}" align="absmiddle"
aliya0001 [1]

Answer:

tan3x=√3

tan3x=tan60,tan(180+60)

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:.x=20,80is your answer.

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2 years ago
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GrogVix [38]
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8 0
2 years ago
Read 2 more answers
8. Jack has twice as many dimes as quarters. If the total
kati45 [8]

Answer:

Step-by-step explanation:

d=2q, q=d/2

10d+25q=630, using q=d/2

10d+25d/2=630

20d+25d=1260

45d=1260

d=28

So he has 28 dimes.

8 0
3 years ago
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
3 years ago
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