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3 years ago

How can a triangular prism have a greater volume than a rectangular prism?

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

Answer:

Step-by-step explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

(1/3) (base area)(t-height)

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

(base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.

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Find the zeros of f(x) = -x^2 + 4x - 3 by using a table and a graph.

ludmilkaskok [199]

1) Enter the missing numeral of the answer 1, 3. Use a number only.
2) f(x) = x^2 - 5x - 6 can be written as f(x) = x^2 - 5x - 6 = (x-1) (x+6)
the zeros are 1 and 6, and the smallest zero is 1,
3) g(x) = x^2 - 8x =g(x) = x(x - 8), so the zeros are 0 and 8, the smallest zero is 0
4) f(x) = x^2 - 7x + 6 can be written as f(x) = x^2 - 7x + 6 = (x-1) (x-6), the zeros are 1 and -6, and the smallest zero is 1
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7 0

3 years ago

Find the area of a triangle formed by placing the vectors [3, 6] and [7, 1] tail-to-tail.

Usimov [2.4K]

Answer:

a. $A=10u^{2}$

b. View graph

c. 6.40u

Step-by-step explanation:

knowing that the triangle area is equal to base by heigh between two, then:

$A=\frac{bh}{2}=\frac{5*4}{2}=10u^{2}$

The length of the longest altitude of your triangle is:

$c^{2}=a^{2}+b^{2}=5^{2}+4^{2}=25+16=41\\ c=\sqrt{41}=6.40u$

finally it can be seen that the position of the triangle does not matter, as long as the base and heigh are maintained, the area of the triangle will be the same

6 0

4 years ago

Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 ho

Dvinal [7]

Answer: They purchased 14 adult tickets and 4 kids' tickets.

Step-by-step explanation:

14 x 5 = 70

3x4=12

and then add 70 plus 12 to get 82 dollars

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3 years ago

Simplify the following algebraic expression.

Harman [31]

Answer:

In the picture

Step-by-step explanation:

I hope that a clear explanation

8 0

3 years ago

Find the hypotenuse of a right triangle if side a=3 and side b=4

Slav-nsk [51]

Answer:

5 units

Step-by-step explanation:

By Pythagoras theorem:

$(hypotenuse)^2 = a^2+ b^2\\\therefore hypotenuse = \sqrt{a^2+ b^2} \\\therefore hypotenuse = \sqrt{3^2+ 4^2} \\\therefore hypotenuse = \sqrt{9+ 16} \\\therefore hypotenuse = \sqrt{25} \\\therefore hypotenuse = 5\: units$

4 0

4 years ago