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aleksley [76]
3 years ago
10

Matt and Mindy each built a rectangular prism that has a length of 5 units,a width of 2 units, and a height of 4 units.Matt used

cubes that are 1 cm on each side.Mindy used cubes that are 1 in. on each side. What is the volume of each prism?
Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0
Volume = length * width * height

Matt:

volume = 5 cm * 2 cm * 4 cm = 40 cm^3

Mindy:

volume = 5 in * 2 in * 4 in = 40 in^3
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Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

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point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0
3 years ago
Find the perimeter and area of each figure 70. A square with length 4.5 inches.
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A particle moves along the curve below. y = √ 3 + x 3 y=3+x3 As it reaches the point ( 1 , 2 ) (1,2), the y y-coordinate is incr
nydimaria [60]

Answer:

The x-coordinate of the point changing at ¼cm/s

Step-by-step explanation:

Given

y = √(3 + x³)

Point (1,2)

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To calculate how fast is the x-coordinate of the point changing at that instant?

First, we calculate dy/dx

if y = √(3 + x³)

dy/dx = 3x²/(2√(3 + x³))

At (x,y) = (1,2)

dy/dx = 3(1)²/(2√(3 + 1³))

dy/dx = 3/2√4

dy/dx = 3/(2*2)

dy/dx = ¾

Then we calculate dx/dt

dx/dt = dy/dt ÷ dy/dx

Where dy/dx = ¾ and dy/dt = 3

dx/dt = ¾ ÷ 3

dx/dt = ¾ * ⅓

dx/dt = ¼cm/s

The x-coordinate of the point changing at ¼cm/s

7 0
3 years ago
Which numbers in set ={,,,,,,,,,}eh equals left brace 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10
viva [34]

Answer:

D={3,9}

The numbers are 3 and 9

Step-by-step explanation:

The set A

={,,,,,,,,,}

Let B be the sub set of A containing odd numbers

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Let C be the sub set of A containing multiply of 3

C= {3,6,9}

Now let D be the be the sub set of A containing both odd numbers and multiples of 3

D={3,9}

5 0
3 years ago
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