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gulaghasi [49]
3 years ago
14

Type the correct answer in each box. Round your answers to the nearest integer.

Mathematics
2 answers:
QveST [7]3 years ago
5 0
Did you ever find the awnser

Over [174]3 years ago
3 0

Answer:

(1) 92.92 unit  (2) 500 unit²

Step-by-step explanation:

(1) Perimeter of the given hexagon ABCDEF will be

   = Sum of length of all sides

   = AB + BC + CD + DE + EF + FA

   =10+(\sqrt{10^{2}+10^{2}})+\sqrt{10^{2}+10^{2}}+10+\sqrt{20^{2}+10^{2}}+\sqrt{20^{2} +10^{2} }

   = 20+10\sqrt{2} +10\sqrt{2}+10+10\sqrt{(2+1)}+10\sqrt{(2+1)}

   = (30+20\sqrt{2}+20\sqrt{3})

   = 30 + 28.28 + 34.64

   = 92.92 unit

(2) Area of hexagon = Area of ΔAEF + Area of rectangle ABDE + Area of ΔBCD

   = \frac{1}{2} (20)(20)+(20)(10)+\frac{1}{2}(20)(10)

   = 200 + 200 + 100

   = 500 unit²

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A spherical ball has a diameter of 8 inches. The ball has a slow leak in which the air escapes at the rate of 2.5 inches per sec
s344n2d4d5 [400]

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

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v=4/3 \pi r^3

v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3

Step two:

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4 0
2 years ago
Factor the following expression <br> 10x^5+5x^3-14x^2-7-
Tatiana [17]

Answer:

C. (5x^3-7)(2x^2+1)

Step-by-step explanation:

Given expression is,

10x^5+5x^3-14x^2-7

=10x^5-14x^2 + 5x^3 - 7  (By the commutative property)

=2x^2(5x^3-7)+5x^3-7     (Taking 2x^3 common from first two terms )

=(5x^3-7)(2x^2+1)      (Taking 5x^3-7 common from both terms)

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5 0
3 years ago
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