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Leya [2.2K]
3 years ago
10

An architect drew plans for an office building. The building will have the dimensions shown below

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

The first one.

Step-by-step explanation:

To find the volume of the figure, you need to remember the formula V=LWH (Volume= Length times width times height). The first one accurately represents the formula, therefor the first one is the correct answer.

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What equation is perpendicular to y=2x-3 and<br> passes through (-1, 2)?
Wittaler [7]

Answer:

\[y=-\frac{1}{2}x+\frac{5}{2}\]

Step-by-step explanation:

Equation of the given line: \[y=2x-3\]

Slope of the line = \[2\]

Slope of the perpendicular line = \[-\frac{1}{2}\]

So the equation of the perpendicular line:

\[y=-\frac{1}{2}x+c\]

This passes through the point (-1,2).Substituting in the equation:

\[2=-\frac{1}{2}*(-1)+c\]

=> \[c=2+\frac{1}{2}\]

=> \[c=\frac{5}{2}\]

So the equation of the line :

\[y=-\frac{1}{2}x+\frac{5}{2}\]

4 0
3 years ago
Pls help (50 points)
svetlana [45]

Answer:

4.5 inches

Step-by-step explanation:

We are given the formula:

V = \pi r^{2}h

Plug in the the radius (3) and volume (127.23):

127.23 = 3.14(3)^{2} h

Square the 3 :

127.23 = 3.14(9)h

Multiply the pi & volume:

127.23 = 28.26h

Divide both sides by 28.26:

127.23 ÷ 28.26 = 28.26h ÷ 28.26

h = 4.5021231...

I hope this helps!

6 0
3 years ago
Read 2 more answers
6a + 2b, 9a + 4b, 12 + 6b<br><br> Find the 40th term<br><br> Show all work :)
Naily [24]
1. 6a + 2b
2. 9a + 4b
3. 12a + 6b 
4. 15a + 8b
5. 18a + 10b
6. 21a + 12b
7. 24a + 14b
8. 27a + 16b
9. 30a + 18b
10. 33a + 20b
11. 36a + 22b
12. 39a + 24b
13. 42a + 26b
14. 45a + 28b
15. 48a + 30b
16. 51a + 32b
17. 54a + 34b
18. 57a + 36b
19. 60a + 38b
20. 63a + 40b
21. 66a + 42b
22. 69a + 44b
23. 71a + 46b
24. 74a + 48b
25. 77a + 50b
26. 80a + 52b
27. 83a + 54b
28. 86a + 56b
29. 89a + 58b
30. 91a + 60b
31. 94a + 62b
32. 97a + 64b
33. 100a + 66b
34. 103a + 68b
35. 109a + 70b
36. 112a + 72b
37. 115a + 74b
38. 118a + 76b
39. 121a + 78b
40. 124a + 80b

Basically, add 3 to every number in front of the a and 2 to every number in front of the b. Or just multiply. 
8 0
3 years ago
Find the distance between the points (0,-2) and (-8,-8)
Ostrovityanka [42]

Answer:

Distance between the points = 10 units

Step-by-step explanation:

Given points:

(0,-2) and (-8,-8)

To find the distance between the two points.

Solution:

Applying distance formula to find the distance between the points.

For points (x_1,y_1) and (x_2,y_2) the distance is given as:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in the given points in the formula.

d=\sqrt{(-8-0)^2+(-8-(-2))^2}

d=\sqrt{(-8)^2+(-8+2))^2}

d=\sqrt{(-8)^2+(-6)^2}

d=\sqrt{64+36}

d=\sqrt{100}

d=\pm10

Since distance is always positive. So d=10 units.

3 0
3 years ago
How do I solve for the blank
OLga [1]
Look at the problem and do it in order
3 0
3 years ago
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