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marta [7]
3 years ago
9

A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. 2 ft How mu

ch paper will it take to make each tree, including the bottom?

Mathematics
2 answers:
kap26 [50]3 years ago
6 0

Answer:

Our answer for this problem is 20 square ft.

stiv31 [10]3 years ago
5 0

Answer:

Step-by-step explanation:

The area of a triangle is base*height/2

So one triangle is 2*4/2=4

Multiplied by 4 sides, 4*4=16

Finally the base is a square, so 2*2=4

Therefore the entire shape is 16+4=20 square feet

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Which of these relations on the set {0, 1, 2, 3} are equivalence relations? If not, please give reasons why. (In other words, if
Delicious77 [7]

Answer:

(1)Equivalence Relation

(2)Not Transitive, (0,3) is missing

(3)Equivalence Relation

(4)Not symmetric and Not Transitive, (2,1) is not in the set

Step-by-step explanation:

A set is said to be an equivalence relation if it satisfies the following conditions:

  • Reflexivity: If \forall x \in A, x \rightarrow x
  • Symmetry: \forall x,y \in A, $if x \rightarrow y,$ then y \rightarrow x
  • Transitivity: \forall x,y,z \in A, $if x \rightarrow y,$ and y \rightarrow z, $ then x \rightarrow z

(1) {(0,0), (1,1), (2,2), (3,3)}

(3) {(0,0), (1,1), (1,2), (2,1), (2,2), (3,3)}

The relations in 1 and 3 are Reflexive, Symmetric and Transitive. Therefore (1) and (3) are equivalence relation.

(2) {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)}

In (2), (0,2) and (2,3) are in the set but (0,3) is not in the set.

Therefore, It is not transitive.

As a result, the set (2) is not an equivalence relation.

(4) {(0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3)}

(1,2) is in the set but (2,1) is not in the set, therefore it is not symmetric

Also, (2,0) and (0,1) is in the set, but (2,1) is not, rendering the condition for transitivity invalid.

5 0
3 years ago
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of
julia-pushkina [17]

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through (3, -2) and has a slope of 4 in point slope form
diamong [38]

y=mx+b is the equation of a line;

m=slope , b= y-intercept

m=4 ; so we have : y=4x+b

We are give a set of points which it passes through, we can simply plug them in:

-2 = 4(3)+b (3 is the x and -2 is the y)

We get -2 = 12 +b .... -14=b

our final equation is : y=4x-14

4 0
3 years ago
Read 2 more answers
How many solutions does the following equation have ? -3x+9-2x=-12-5x?
Maurinko [17]

Answer:

0.....................

5 0
3 years ago
a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Roman55 [17]

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

5 0
2 years ago
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