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Fudgin [204]
2 years ago
5

A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimension

s of 3 cm and 4 cm. Do the solids have the same volume?
Mathematics
1 answer:
Makovka662 [10]2 years ago
7 0

The solids have the same volume.

<h3>What is Volume?</h3>

Volume is the measure of the capacity that an object holds.

Volume of triangular prism be

= Base area * height

= 12*10

=120 cm³

Volume of rectangular prism be,

=10*3*4

=120 cm³      

Learn more about volume here:      

brainly.com/question/1996004

#SPJ1

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What is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space?
Likurg_2 [28]

Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

<h3>Application</h3>

For the given points ...

  x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)

The distance between x and y is ...

  d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45

5 0
2 years ago
Find the area between the curves x=-2,x=3,y=4x,y=x-5
mixas84 [53]
Those are all lines...

So the x interval is from -2 to 3, because of x=-2 and x=3

The upper line is y(u)=4x and the lower line is y(l)=x-5

So the area between the two lines is:

A=⌠y(u)-y(l) dx

A=⌠4x-x+5 dx

A=⌠3x+5 dx

A=[3x^2/2+5x]

A=[(3x^2+10x)/2], x=[-2,3]

A=(1/2)(27+30-(12-20))

A=(1/2)(57+8)

A=(1/2)(65)

A=32.5 u^2
5 0
3 years ago
Think about all of the ways in which a circle and a parabola can intersect.
xeze [42]

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

\rm (x-h)^2 +(y-k)^2=r^2

The standard form of the parabola:

\rm y = a(x-h)^2+k  

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

7 0
2 years ago
a bookstore sells 7 books for $99.75 which table represents the relationship between number of books and total price?
WARRIOR [948]

Answer:

You did not provide the tables to choose from, but the relationship between number of books and total price is that each book is 14.25. Hope that helps at least.

7 0
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PSYCHO15rus [73]

Answer:

a)-4 5×<2

Step-by-step explanation:

<h3>#CarryOnLearning</h3>
6 0
2 years ago
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