11 geometry questions?

Question

1. What is the length of the diagonal of a rectangle with adjacent sides measuring 3 cm and 8 cm?

2. Find the complement of an angle that measures 26°.

3. Given m angle Q + m angle R = 10x + 8, m angle Q = 5x, and m angle R = 7x + 2, find m angle Q and m angle R.

6. What kind of polygon is ABCDEFGH? (Try drawing it.)

16. Find the volume of a regular hexagonal prism if the measure of one side of the base is 14 and the height is 10.

17. Two cones have congruent radii and the altitude of one cone is twice that of the other. What is the ratio of their volumes?

18. Find the volume of a sphere with a diameter of 6 m.

19. Find the volume of a right circular cone with a radius of 2 feet and a height of 6 feet.

20. Find the surface area of a sphere with radius of 4 inches.

21. What is the length of the line segment with endpoints (a,b) and (c,d)?

23. Write an equation for the line parallel to y = 3x + 5 that passes through the point (0, 2).

Answer 1

1.)
3^2 + 8^2 = c^2
9 + 64 = c^2
73 = c^2
c = sqrt(73)
ANS : about 8.54cm

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2.)
x + y = 90
x + 26 = 90
x = 64
ANS : 64°

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3.)
Q + R = 10x + 8
Q = 5x
R = 7x + 2

(5x) + (7x + 2) = 10x + 8
5x + 7x + 2 = 10x + 8
12x + 2 = 10x + 8
2x = 6
x = 3

Q = 5(3) = 15
R = 7(3) + 2 = 21 + 2 = 23

ANS :
m angle Q = 15
m angle R = 23

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6.)
(A,B,C,D,E,F,H)/2 = 6 R 1

7 Sided Polygon

ANS : Heptagon

www.mathleague.com/help/geometry/polygons.htm#heptagon

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16.)
V = hB
V = 10 * 14^2
V = 10 * 196
ANS : 1960

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17.)
V = (Pi r^2h)/3

V = (pi * r^2 * 2h)/3

ANS : 2 to 1

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18.)
V = (Pi/6)d^3

V = (pi/6) * 6^3
V = (pi/6) * 216
V = 36pi

ANS: 36pi meters^3

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19.)
V = (Pi r^2h)/3

V = (pi * 2^2 * 6)/3
V = (pi * 4 * 6)/3
V = (24pi)/3

ANS : 8pi ft^3

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20.)
S = 4 Pi r^2

S = 4 * pi * 4^2
S = 4 * 16pi
S = 64pi in^2

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21.)
(a,b) and (c,d)

Distance Formula
D = sqrt((c - a)^2 + (d - b)^2)

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23.)
parallel lines have the same slope

(0,2), m = 3
2 = 3(0) + b
2 = 0 + b
b = 2

ANS : y = 3x + 2

Answer 2

Hi, why not upload the images so that we can help? Edit: Well, I have a question. How many questions/problems are there? Perhaps, like you said, you could upload snapshots of the questions. Edit 2: Here comes a lifesaver below. Great!

Answer 3

I have already done most of your homework for you. Open your book and study. The answers are all there. You'll never learn geometry if you let someone else do all the work.

I wonder what idiot gave my answer a bad rating.... I think I answered my own question.