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Nataliya [291]
4 years ago
5

A triangular prism has bases with three congruent sides, each measuring 4 feet. The height of each triangle is approximately 3.5

feet. The distance between the triangular bases is 7 feet.
What is the lateral area of the prism?
Mathematics
2 answers:
Morgarella [4.7K]4 years ago
8 0
It is 84 square feet
Alex777 [14]4 years ago
4 0

Answer:

84 sq ft

Step-by-step explanation:

Just took the test on edg 2020

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Prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a un
tekilochka [14]

Answer with Step-by-step explanation:

We are given that A, B and C are subsets of universal set U.

We have to prove that

A\cap (B-C)=(A\cap B)-(A\cap C)

Proof:

Let x\in A\cap (B-C)

Then x\in A and x\in(B-C)

When x\in ( B-C)then x\in B but x\notin C

Therefore, x\in( A\cap B) but x\notin (A\cap C)

Hence, it is true.

Conversely , Let x\in(A\cap B) but x\notin(A\cap C)

Then x\in A and x\in B

When x\notin ( A\cap C) then x\notin C

Therefor,x\in A\cap (B-C)

Hence, the statement is true.

5 0
3 years ago
A big lockers above a smaller locker they both have 0.5 m wide and 0.6 m deep Big lockers 1.2 m tall and small lockers half of t
Tomtit [17]

Answer:

0.54\,\,m^3

Step-by-step explanation:

Given: Dimensions of a big locker are 0.5 m × 0.6 m × 1.2 m

Dimensions of a small locker are 0.5 m × 0.6 m × \frac{1.2}{2}=0.6\,\,m (as height of small locker is half the height of big locker )

To find: total volume of one big locker and one small locker

Solution:

Volume of cuboid = length × breadth × height

Total volume of one big locker and one small locker = Total volume of one big locker + total volume of one small locker

= 0.5\times 0.6\times 1.2+0.5\times 0.6\times 0.6

=0.5\times 0.6\left ( 1.2+0.6 \right )\\=0.3(1.8)\\=0.54\,\,m^3

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Answer in picture below:

Step-by-step explanation:

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