answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
devlian [24]
2 years ago
8

A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?

Mathematics
1 answer:
Pie2 years ago
8 0

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


You might be interested in
What is a necessary step for constructing perpendicular lines through a point off the line? A. Draw a line that intersects the f
adoni [48]

Answer:

Answer : C

Step-by-step explanation:

6 0
2 years ago
Read 3 more answers
Which equation is the inverse of y = 2x2 – 8?​
natita [175]

The inverse of the function is y=\pm \sqrt{\frac{x+8}{2}}

Explanation:

To find the inverse of the equation y=2x^{2} -8, we need to interchange the variables x and y for the variables y and x.

Thus, the equation becomes

x=2y^{2} -8

Now, we shall find the value of y.

Now, adding 8 to both sides of the equation, we have,

x+8=2y^{2}

Interchanging the sides,

2y^{2} =x+8

Dividing by 2 on both sides,

y^{2} =\frac{x+8}{2}

Taking square root on both sides,

y=\pm \sqrt{\frac{x+8}{2}}

Thus, the inverse of the function is y=\pm \sqrt{\frac{x+8}{2}}

5 0
2 years ago
How does the range of g(x)=6/x compare with the range of the parent function (f)=1/x?
ycow [4]
<span>The range of both f(x) and g(x) is all real numbers</span><span>The range of both f(x) and g(x) is all nonzero real numbers</span><span>The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6</span><span>The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6
heres the choices any body know the answer???
</span>
5 0
2 years ago
Read 2 more answers
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Ne4ueva [31]
A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.
7 0
2 years ago
Read 2 more answers
Michael has $1.95 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the nu
Triss [41]
1 nickel=$0.05
1 quarter=$0.25
let the number of quarters be x, the number of nickels will be 3+x
thus:
0.05(3+x)+0.25x=1.95
0.05x+0.15+0.25x=1.95
0.30x=1.8
x=6
thus the number of quarters is 6
the number of nickels=6+3=9
4 0
2 years ago
Other questions:
  • A container holds 1/4 gallon of oil . Jonathan is changing the oil in his car and needs 5 containers. How many gallons of oil do
    11·1 answer
  • Suppose you have just enough money, in coins, to pay for a gallon of milk priced at $2.40. You have 12 coins, all quarters and d
    9·1 answer
  • Alfred wants to waste less than 175 gallons of water this week. Every day that he waters the lawn, he wastes 59 gallons of water
    14·2 answers
  • A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans
    6·2 answers
  • Which equation is y=3(x-2)^2-(x-5)^2 rewritten in vertex form?
    11·2 answers
  • With a perfectly balanced roulette wheel, in the long run, red numbers should turn up 18 times in 38. To test its wheel, one cas
    15·1 answer
  • Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
    10·1 answer
  • Carl scored 32 on the ACT mathematics Test and 730 on the mathematics portion of the SAT. If the ACT Math Test had a mean score
    5·1 answer
  • The table shows the relationship “Construction workers make 13 dollars per hour.” A 2-column table with 5 rows. Column 2 is labe
    10·1 answer
  • Joes bait shop brought in a gross profit in sales of $4,100.00 in the month of June. During the same month their operating expen
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!