MATHEMATICS HIGH SCHOOL

A prism whose base is a 9-sided polygon is intersected by a plane. In which case could the cross section be a 10-sided polygon?

Answers

Answer 1

Answer:

Answer:

when the plane makes a narrow angle with the base.

Step-by-step explanation:

Given: A prism with a Nonagon as base.

To find: When a cross section be a Decagon.

Nonagon is a polygon with 9 sides

Decagon is a polygon with 10 sides.

1). when a cross section is taken parallel to the base, the cross section will be Nonagon .i.e., it will be a 9 sided polygon.

2).when a cross section is taken perpendicular to the base, the cross section will be a rectangle.

3). when a slant cross section is taken .i.e., one with any angle other than 90° or 180° to the base. It will be a 10-sided polygon.

Answer 2

Answer: When the plane intersects the polygon at any given two adjacent sides of the base.

Related Questions

A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?
Which function is graphed below? On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.
A pharmaceutical company knows that approximately 5% of its birth-control pills have an ingredient that is below the minimum strength, thus rendering the pill ineffective. What is the probability that fewer than 10 in a sample of 200 pills will be ineffective
A vat of milk has spilled on a tile floor. The milk flow can be expressed with the function r(t) = 4t, where t represents time in minutes and r represents how far the milk is spreading.The spilled milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled milk as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled milk after 4 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Simplify: 9(a + b) + 4(3a + 2b)A) 13a 13b
B) 21a + 17b
Eliminate
C) 21a + 2b
D) 38ab

Answers

Answer:

Option (B) is correct.

The simplified form of the given expression $9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)$ is $21a+17b$

Step-by-step explanation:

Given: expression $9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)$

We have to simplify the given expression $9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)$ and choose the correct option from given options.

Consider the given expression $9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)$

Apply distributive rule, $a\left(b+c\right)=ab+ac$

We have,

$=9a+9b+12a+8b$

Adding like terms,

LIKE TERMS are terms having same variable with same degree.

$9a+12a=21a\n\n \:9b+8b=17b$

We have,

$=21a+17b$

Thus, The simplified form of the given expression $9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)$ is $21a+17b$

b) 9(a+b)+4 (3a+2b)=21a+17b

Nina walked 3.7 miles everyday for one month how many miles in all did she walk in 31 days

Answers

Nina walked 114.7 miles in 31 days. All you have to do is multiply 3.7 by 31

Where should you endorse a check

Answers

In A Bank. Right? I Think?

You would have to mail it off

Pls, help Which of the following is true?|−6| < 5
|−6| < |5|
|−5| < |−6|
|−5| < −6

Answers

Answer:

Step-by-step explanation:

Its not A because The left side 6 is not less than the right side 5, which means that the given statement is false.

Its not B because The left side 6 is not less than the right side 5, which means that the given statement is false.

Its C because The left side 5 is less than the right side 6, which means that the given statement is always true.

Its not D because The left side is 5 is not less than the right side 6, which means that the given statement is false.

Please solve the math problem for me... I will mark you brainliest

Answers

Answer:

$x=34$

Step-by-step explanation:

*it's kind of hard to read the number in parenthesis though but i think it's 5

both angles have to add up to 180º because they are co-exterior angles on parallel lines.

$2(x+5)+102=180\n2(x+5)=78\n2x+10=78\n2x=68\nx=34$

Tate has been dancing for 710 of an hour. Marcia has been dancing for 3.6 times the amount of time than Tate has been dancing. How long has Marcia been dancing for? Write your answer as a decimal.

Answers

Answer: 2.52

Step-by-step explanation:

(assuming that when you say 710, you mean 7/10)

3.6/1 times 7/10 = 25.2/10 or 2.52

Other Questions

What is the sum of a 6-term geometric series if the first term is 24 and the last term is 1,417,176?

What is the sum of 2/5 and 2/4?

A perfect score on a quiz is 100. Mrs. Frisoil gives students 1 point for putting their name on the paper. If there are only 9 questions on the quiz, how much is each question worth? Explain how you found your answer

Would you please help me to solve this 9.1x10^-5)^-4