R = m - v + 2, where r = faces, v = vertices, and m = edges

r = 28 - 13 + 2
r = 15 + 2
r = 17, so the first answer is correct.

7. The surface area of a cone is A = pi*r*sqrt(r^2 + H^2)

A = pi*(7)(sqrt(49 + 1849)
A = pi*(7)(43.57)
A = pi*305 = 959 m^2, so the first answer is correct.

13. The volume of the slab is V = HLW
V = (5 yards)(5 yards)(1/12 yards)
V = 25/12 cubic yards

So it costs $46.00*(25/12) = $95.83 of total concrete. The third answer is correct.

21. First, find the volume of the rectangular prism. V = HLW
V = (15 cm)(5 cm)(7 cm)
V = 525 cm^3

Next, find the volume of the pyramid. V = 1/3(BH), where H is the height of the pyramid and B is the area of the base of the pyramid. Note that B = (15 cm)(5 cm) = 75 cm^2

V = (1/3)(75 cm^2)(13 cm)
V = 325 cm^3

Add the two volumes together, the total volume is 850 cm^3. The fourth answer is correct.

22. The volume of a square pyramid is V = 1/3(S^2)(H), where S is the side length and H is the height.

V = (1/3)(20^2 in^2)(21 in)
V = 2800 in^3

Now that we know the volume of this pyramid, and that both pyramids have equal volume, we plugin our V to the equation for the volume.

2800 = (1/3)(84)(S^2)
2800 = 28S^2
100 = S^2
<span> 10 in = S, so we have a side length of 10 in, and the first answer is correct. </span>

3 0

3 years ago

How do I solve 3+k/14=4

Sedaia [141]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}$