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3 years ago

Name the intersection of planes ABFE and BFCD.

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

8 0

If two planes intersect, they intersect in a line. This line consists of all common points of both planes.

The plane ABFE contains points A, B, F and E, because these points are in the name of the plane.

Points B, F, C and D lie on the plane BFCD.

As you can see points B and F are common points of planes ABFE and BFCD, this means that the line of intersection of these two planes is BF.

Answer: BF.

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How to solve this one

Stells [14]

Answer:

(-5,1)

Step-by-step explanation:

Add it together

3x - 2x = x

y - y = 0

9 - 14 = -5

x = -5

Choose a random equation, doesn't matter.

3x + y = -14

3(-5) + y = -14

-15 + y = -14

y = -14 + 15

y = 1

7 0

3 years ago

Read 2 more answers

2y-x=2 substitute solution?

DerKrebs [107]

Answer:

Y=1 X=0

Step-by-step explanation:

5 0

3 years ago

10.045+2.673+105.95 to the nearest whole number and then estimate the sum

horsena [70]

Answer:

119

Step-by-step explanation:

The nearest whole numbers from those listed are

106

The estimated sum = 119

The actual sum is 118.668

When you are doing a test, being able to estimate is a very powerful skill. 119 is close enough to the actual answer that you know your actual answer is likely correct.

5 0

3 years ago

The volume of the prism shown is 72. in3

Vesna [10]

Answer:

24 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the height.

The volume of a pyramid is given by the formula ...

V = (1/3)Bh

where B and h have the same definitions.

For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:

(1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid

8 0

3 years ago

A water well is to be drilled in the desert where the soil is either rock, clay or sand. The probability of rock P(R)equals=0.

GaryK [48]

The tree diagram for the probability is shown below

P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.

This is a case of conditional probability.

The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)

P(Clay∩Positive) = 0.21×0.48 = 0.1008

P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767

Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)

5 0

3 years ago