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ELEN [110]
3 years ago
10

Easy Question Topic: Volume Focus on question 10

Mathematics
2 answers:
gayaneshka [121]3 years ago
7 0

Answer:

120 cm^3;70 cm^3

Step-by-step explanation:

Volume = l * w * h

That means...

a) Volume = 12cm * 2cm * 5cm = 120 cm^3

b) Volume = 2.5cm * 8cm * 3.5cm = 70 cm^3

vovangra [49]3 years ago
4 0

Answer:

a 120 cm^3

b 70 cm^3

Step-by-step explanation:

The volume of a right rectangular prism is given by

V = l*w*h

10 a  V = 12*2*5

          =120 cm^3

10 b V = 2.5 *8 *3.5

           =70 cm^3

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Given :

A trailer will be used to transport several 40-pound crates to a store.

The greatest amount of weight that can be loaded into the trailer is 1,050 pounds.

An 82-pound crate has already been loaded onto the trailer.

To Find :

The greatest number of 40-pound crates that can be loaded onto the trailer.

Solution :

Weight left = 1050 - 80 = 970 pound.

Let, number of 40 pounds crates that can be loaded are x.

x  = \dfrac{970}{40}\\\\x = 24.25

Since, crate cannot be in fraction, so maximum crate that can be loaded is 24.

Hence, this is the required solution.

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A, B and C are the vertices of a triangle.
DiKsa [7]

Answer:

see below

Step-by-step explanation:

To find the coordinates of the midpoints, add the x's and divide by 2 and add the y's and divide by 2.

The coordinates of D, the midpoint of AB, (1+3)/2 will be the x-coordinate and (4+0)/2 will be the y-coordinate.

D (2,2)

You could also see this on a graph, see image.

E, the midpoint of AC has the x-coordinate (1+-3)/2, which is -1 and y-coordinate (4+-2)/2 which is 1.

E is (-1,1)

Then we are able to calculate the slope of DE and BC.

To calculate slope, subtract the y's and put that on top of a fraction and subtract x's and put that on the bottom of a fraction. If the slopes are the same the segment are parallel.

Slope of DE:

(2-1)/(2--1)

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(Alternatively, you could show that Triangle ABC and Triangle ADE are similar. Then find the segments parallel because corresponding angles are congruent.)

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