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2 years ago

A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram

Mathematics

2 answers:

Alenkasestr [34]2 years ago

9 0

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

Elan Coil [88]2 years ago

4 0

Cutting a hexagonal pyramid by a plane parallel to the base would result to a cross section with a shape of hexagon which would be same with its base. A cross section is a plane that results from cutting an object using a plane.

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A pair of fair dice is cast. what is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one

WITCHER [35]

If a pair of fair dice is cast, the probability that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is given by:

$\frac{P(sum\, of\, 9\, \cup\,3)}{P(3)}$

The number of outcomes of sum of 9 where at last one is 3 is (3, 6) and (6, 3) = 2.

The number of outcomes of last one of the numbers falling uppermost is a 3 is (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, 3), (2, 3), (4, 3), (5, 3) and (6, 3) = 11.

Therefore, the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is 2 / 11.

5 0

2 years ago

He price of a visit to the dentist is calculated according to the formula 50+100n50+100n50, plus, 100, n where nnn is the number

weqwewe [10]

50(1+2)
(-1/2,0)
(0,50)

6 0

2 years ago

Read 2 more answers

) for a particular diamond mine, 77% of the diamonds fail to qualify as "gemstone grade". a random sample of 112 diamonds is ana

sweet [91]

We use the z statistic:

z = (x – u) / s

But first let us calculate the standard deviation s, sample x and mean u.

s = sqrt (n p q)

s = sqrt (112 * 0.77 * (1 – 0.77))

s = 4.45

x = 0.81 * 112 = 90.72

u = 0.77 * 112 = 86.24

So the z score is:

z = (90.72 – 86.24) / 4.45

z = 1.00

From the standard tables, the P value at z = 1.00 using right tailed test is:

P = 0.1587 = 15.87%

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2 years ago

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how

crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

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2 years ago

To make one ham sandwich, tina uses one bread roll and two ham slices

igor_vitrenko [27]

Answer:

£67.78

Step-by-step explanation:

Bread - 6 x £2.87 = £17.22

Ham - 8 x £6.32 = £50.56

£17.22

+ £50.56

£67.78

6 0

2 years ago