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wariber [46]
3 years ago
11

State a true conclusion. 1) If two planes intersect, their intersection is a line. 2) Plane R and plane S intersect. Conclusion:

Mathematics
2 answers:
nordsb [41]3 years ago
8 0

Answer: The answer is "the intersection is a line".


Step-by-step explanation:  The concept of lines and planes that we studied in geometry are familiar to us. For example-

(i) The intersection of two lines is a point.

(ii) A plane consists of a line and a point not on the line, etc.

Like these, we have another fact that suppose there are two planes. Then we have two options

(a) They do not intersect with each other.

(b) If they do so, then their intersection is a line.

See the attached figure, there are two planes P and Q, which intersect at the line AB.

Since the given two planes intersect, the using the above fact we can say that their intersection is a line.  

Thus, the conclusion is "the intersection of two intersecting planes is a line."

Vesna [10]3 years ago
4 0

Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a line.

Therefore, Plane R and Plane S form a line when they intersect.

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4 0
3 years ago
A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s
AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

C = 16.2*10,000*10 = 1,620,000\ m^3

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

V=52*(5*0.5*765)\\V=99,450\ m^3

The expected life of the landfill is given by its capacity divided by the yearly volume:

L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years

The landfill has an expected life of 16.3 years.

6 0
3 years ago
Each side of a square rug is 3ft 2in long. Peg has 20ft of braid to use as trim on the four sides of the rug. How much braid wil
stepan [7]

Answer:

7ft 8in is left over

Step-by-step explanation:

5 0
3 years ago
Which equation has the solution x = 3?
dybincka [34]

Answer:

2x + 4 = 10 = x =3

Step-by-step explanation:

09 - 31 = 0  (the variable x is not present in the given system)

0 +5=6  (the variable x is not present in the given system)

2x + 4 = 10  = x = 3

09-1=4  (the variable x is not present in the given system)

51 - 7 = 1  (the variable x is not present in the given system)

3x + 1 = 9 = x = 8/3

6 0
3 years ago
3 2. Write the equation of a line that includes the point (-4, 0) and has a slope of 5 in slope-intercept form- 12 3 y=-=X-2 5 5
Arturiano [62]

Answer:

y= 5x+20

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

The slope is 5 and a point on the line is (-4,0)

Substituting this information into the equation, we can solve for b

0 = 5(-4) +b

0 = -20+b

Add 20 to each side

0+20 = -20+20+b

20 = b

y = 5x+20

8 0
3 years ago
Read 2 more answers
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