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FinnZ [79.3K]
2 years ago
11

Which figure results when a triangular prism is sliced by a plane parallel to its base?

Mathematics
1 answer:
GuDViN [60]2 years ago
6 0

Answer: Rectangle

Step-by-step explanation: When a geometric plane slices a prism so that the cut is parallel to the plane of the base, the cross section will have the shape of the base. So, in the case of a right rectangular prism, the cross section is a rectangle.

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The table shows the data of a random sample of fish that were collected from and later released into a lake.
natka813 [3]
There was a total of 200 fish collected and released from the pond...of those, 52 were gar......52/200 = 0.26 = 26%

so if 1000 fish are collected....26% of 1000 = 0.26(1000) = 260 gar <==
6 0
3 years ago
Read 2 more answers
The monthly membership fee for an online television
Makovka662 [10]

Jill rented (B) 2 movies that month.

<h3>What is an equation?</h3>
  • An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
  • The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

To find how many movies did Jill rent online that month:

  • The equation for the monthly bill when m number of movies are rented per month = 9.80 +1.5m.
  • Given, 9.80 + 1.5m=12.80
  • 1.5m = 3
  • m = 2

Therefore, Jill rented (B) 2 movies that month.

Know more about equations here:

brainly.com/question/2972832

#SPJ4

5 0
2 years ago
The perimeter of a triangle is 27. Each side of the triangle has length 2x-3. What is the value of x?
Bezzdna [24]

Answer:

x=6

Step-by-step explanation:

To find the perimeter of the triangle you need to add up all the sides, so if all the sides are 2x-3 the equation will look like this;

2x-3+2x-3+2x-3=27

which when combining like terms will leave it to be;

6x-9=27

Than move all the factors besides x over to the right side;

6x-9+9=27+9

6x = 36

6x/6 = 36/6

x = 6

so your answer will be x=6

8 0
2 years ago
Which of the following are operations in the algebra of sets?
postnew [5]

Answer:

Union and Intersection

Step-by-step explanation:

We know that the algebra of sets define the properties and laws of the sets.

The basic operations of sets are,

Union, Intersection, Complement of a set and Equality of sets.

Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.

i.e. they are not in the algebra of sets.

So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.

7 0
3 years ago
Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
Read 2 more answers
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