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Ber [7]
3 years ago
11

True or false: The base of a polyhedron is also a face of the polyhedron

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0
True: A face of a polyhedron is simply a flat boundary that helps forms the 3D solid.
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An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0
3 years ago
The cab ride for the dulles airport to the hotel was 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.
natali 33 [55]
The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile the entire trip.
5 0
3 years ago
I am a two digit number above 50. the sum of my digits is twelve and the difference of my digits is 4. who am I?​
Ne4ueva [31]

<u>Answer:</u>

The answer should be 84

<u>Step-by-step explanation:</u>

12 - 4 = 8

8 + 4 = 12

8 - 4 = 4

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

7 0
3 years ago
The parallel black lines undergo a transformation. The green lines are the resulting image. Which choice describes the transform
liubo4ka [24]
D) translation 5 units up
8 0
3 years ago
What is the range of the function
alexandr1967 [171]

Answer: Choice B

Range = {-3, 1, 5}

============================================

Explanation:

The domain is the set of all possible input x values. The range is the set of all possible y outputs.

Plug in each x value from the domain, one at a time, to get its corresponding range y value.

--------------------

Start with x = -3

f(x) = 2x+3

f(-3) = 2(-3)+3

f(-3) = -6+3

f(-3) = -3

So -3 is in the range.

--------------------

Move onto x = -1

f(x) = 2x+3

f(-1) = 2(-1)+3

f(-1) = -2+3

f(-1) = 1

1 is also in the range

--------------------

Finally plug in x = 1

f(x) = 2x+3

f(1) = 2(1)+3

f(1) = 2+3

f(1) = 5

The value 5 is the final value in the range.

--------------------

All of those values form the set {-3, 1, 5} which is the complete range.

7 0
3 years ago
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