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vesna_86 [32]
3 years ago
15

The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha

t is the perimeter of the base?
Mathematics
2 answers:
nadezda [96]3 years ago
4 0
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5

side^2 =240 * 0.72654 / 5

side^2 = <span> <span> <span> 174.3696 </span> </span> </span> / 5
side^2 = <span> <span> <span> 34.87392 </span>
</span></span>
side = <span> <span> <span> 5.9054144647 </span></span></span>
Pentagon Perimeter = <span> <span> <span> 5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter = 29.5270723235 </span> </span> </span>




Maksim231197 [3]3 years ago
4 0

Answer:

30

Step-by-step explanation:

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lina2011 [118]

Answer:

3.14

Step-by-step explanation:

7 0
3 years ago
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Which points in the scatter plot are outliers?
Liono4ka [1.6K]
An outlier<span> is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal. Before abnormal observations can be singled out, it is necessary to characterize normal observations.  


Basically the ones that are far away from the others.

Thus, the outliers for this graph are K and F

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3 0
3 years ago
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Evaluate the expression for <br> x = 4, y=-2, z= -3.<br> 2² + 8zy - y²
andrew11 [14]

Answer:

Pretty sure its 53

Step-by-step explanation:

9+48-4

3 0
3 years ago
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Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
3 years ago
20 POINTS / WILL GIVE BRAINLIEST
padilas [110]

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

3 0
3 years ago
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