Which solution makes the inequality 7 > x true

Mathematics

1 answer:

ANTONII [103]3 years ago

7 0

Answer:

if x is 6 or lower (you didnt link anything)

If its on a number line the circle is open like this o and the arrow will point to the left all the way

Step-by-step explanation:

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A building 84 ft high casts a 46 ft shadow. How tall is a building that casts a 110 ft shadow at the same time of the day? (to t

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The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
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The appropriate selection is
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A cylindrical canister contains three tennis balls. Assume the tennis balls touch the sides of the canister and the top and bott

sweet-ann [11.9K]

Ok, so we know that teh diameters of the 3 tennis balls added up equals the height of the canister

also, since the tennis balls touch the sides, the diameter of the tennis ball=diameter of the base

so what we do is
canister volume-3tennisballvolume=wasted space

normally alot of the equations are using radius so
2.7=diameter
diameter=2r
d/2=r
2.7/2=r
1.35=r

since we are to aprox volume to hundreth. use 3.14=pi

volume of cylinder=hpir^2
volume of sphere (tennis ball)=volume of spere= $\frac{4}{3}pir^{3}$

first find volume of cylinder

h=3 times diameter of 1 tennis ball=3 times 2.7=8.1
r=1.35
vofcylinder=8.1 times 3.14 times 1.35^2
v=25.434 times1.8225
v=46.353465 (keep as many digits a possible for accuracy)

volume of tennis balls=volume of shpere times 3
v= $\frac{4}{3}pir^{3}$ times 3
and we can see that the 4/3 and the 3 cancel to get 4
v= $4pir^{3}$
v= $4pi1.35^{3}$
v=4(3.14)(2.460375)
v=30.90231

so we have
volume of canister=46.353465 in^3
volume of tennis balls=30.90231 in^3
subtract
wasted space=46.353465-30.90231
wasted space=15.451155
round to hundreth
15.45

wasted space=15.45 in^3

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