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kow [346]
3 years ago
7

Find the volume 12 points

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0
<em /><u>The volume of the smaller cube:
</u>Volume of a cube = Length³
<u></u>Volume of a cube = 1³ = <u>1 ft</u>.³
<u>The volume of the larger cuboid:
</u>Volume of a cuboid = Length × Width × Height
Volume of a cuboid = 13 × 7 × 8
                                 = 728 ft.³


<u>The volume of the composed figure:
</u>728 ft³ + 1 ft.³ = 729 ft³

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Find the vertex for each equation:
tamaranim1 [39]

1. (−3,−1)

2. (3,−5)

3. (−3,−4)

5 0
2 years ago
Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

3 0
3 years ago
PLEASE help i only have 2 more questions on the same concept! and i still cant get it right :(
Law Incorporation [45]

Answer:

343 gallons, So Sarah dumped water in the pool each minute consists of 7 gallons so if she did it for 49 minutes, thats 7 gallons each for each minute. So you do 7 times 49 which gives you how many gallons in those total minutes.

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4 0
2 years ago
Which of the relations given by the following sets of ordered pairs is a function?
KonstantinChe [14]

9514 1404 393

Answer:

  (a)  {(5, 2), (-4, 2), (3, 6), (0, 4), (-1, 2)}

Step-by-step explanation:

The only relation with no repeated x-values is the first one. The first relation is a function.

6 0
3 years ago
David is making patterns using these rules. Rule for Pattern A: start with 20 and subtract 2 Rule for Pattern B: start with 10 a
pochemuha

Answer:

20,18,16,14,12,10,8,6,4,2

10,9,8,7,6,5,4,3,2,1

Step-by-step explanation:

Pattern A:

Rule : start with 20 and subtract 2

Pattern B:

Rule : Start with 10 and subtract 1

Pattern 1:

20 - 2 = 18

18 - 2 = 16

16 - 2 = 14

14 - 2 = 12

12 - 2 = 10

10 - 2 = 8

8 - 2 = 6

6 - 2 = 4

4 - 2 = 2

20,18,16,14,12,10,8,6,4,2

Pattern 2:

10 - 1 = 9

9 - 1 = 8

8 - 1 = 7

7 - 1 = 6

6 - 1 = 5

5 - 1 = 4

4 - 1 = 3

3 - 1 = 2

2 - 1 = 1

10,9,8,7,6,5,4,3,2,1

5 0
2 years ago
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