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Over [174]
2 years ago
9

The following is a subset of A = {1, 2, 3, 4, 5}, except: *

Mathematics
1 answer:
erica [24]2 years ago
7 0

A subset only includes element from the original set.

Answer #3 has "7" in it, but 7 isn't in Set A, so it cannot be a subset.

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Rosario draws the right triangular prism shown here and calculates the volume. She then draws a second right triangular prism in
Tju [1.3M]
The volume of the original prism is given by:
 V1 = (1/2) * (b) * (h) * (H)
 Where,
 b: base of the triangle
 h: height of the triangle
 H: prism height
 The volume of the prism with new dimensions is:
 V2 = (1/2) * (3b) * (3h) * (3H)
 Rewriting:
 V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
 V2 = (27) * (1/2) * (b) * (h) * (H)
 V2 = (27) * V1
 Answer:
 
The relationship between the volumes of the two prisms is:
 
V2 = (27) * V1
5 0
3 years ago
Read 2 more answers
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
TJ invested $4000 in a bond at a yearly rate of 2%. He earned $200 in interest. How long was the money invested
kow [346]

4000.00 x 2.0 = $80.00 per year x 2 years = $160.00 so 6 months would earn $40.00 taking it to the $200, so 2 yrs 6 mos.



3 0
3 years ago
HELP!! Which truck pulled 2,000 pounds at the average<br> speed of 2 yards per minute?
Advocard [28]
The correct answer it would be B

Ford
8 0
2 years ago
12 cm
Ahat [919]

Answer:

The answer is 200 cm³

Step-by-step explanation:

4 0
2 years ago
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