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Leona [35]
3 years ago
9

Which equation would best help solve the following problem?

Mathematics
1 answer:
timurjin [86]3 years ago
6 0
Y = yo + Vot - (gt^2)/2

0 = 0 + 31t - 4.9 t^2

0 = -4.9 t^2 + 31t

Answer: option A.
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Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
40 is 120% of what number?
Dennis_Churaev [7]
Always remember that percent means "out of 100". That means the 40%=40/100=.4
so 40% of 120 is equivalent to .4(120)=48
Hope I helped
5 0
3 years ago
Read 2 more answers
The length of a guy wire supporting a cell tower is 120 meters. The guy wire is
almond37 [142]

Answer: 140

Step-by-step explanation:

n calculate

6 0
2 years ago
Translate the sentence into an equation. Four times the difference of a number and 5 is 24.
givi [52]
4\ times\to4\times\\difference\ of\ a\ number\ "c"\ and\ 5\to c-5\\is\ equal\ 24\to=24\\\\4\times(c-5)=24\\\\Answer:\boxed{a.}
3 0
3 years ago
Alma is changing the shape of her backyard from 150 feet long by 62 feet wide to a square that has the same area. What is the pe
umka2103 [35]
Hey there!
Here's your answer: the perimeter of the redone yard would be ~193 feet

Hope this helps!
6 0
2 years ago
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