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3 years ago

Help me answer this and explain it please! :)

Mathematics

2 answers:

Fynjy0 [20]3 years ago

7 0

Answer:

90. 04987916

Step-by-step explanation:

Let HI be a

and GH be c

and GI be b

and <GHI be B

Using the law of Cosines,

b^2= -2ac cos (B) + c^2 + a^2

= -2(42)(60) cos (123)+60^2+42^2

= -5040 cos (123) +3600+1764

= -5040(-0. 544639035) +5364

= 2744. 980736+5364

b^2= 8108. 980736

b= Sqrt ( 8108. 980736)

b= 90. 04987916

Sphinxa [80]3 years ago

3 0

Answer:

The answer is 99.2

Step-by-step explanation:

The law of cosine states that...

c^2=a^2-2*a*b*cos(theta)

c^2=42^2+60^2-2(42)(60)cos(123)

c^2=1764+3600+4475.36

c=sqrt of 9839.36

c=99.2

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pantera1 [17]

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solve (5y/3)=20 step by step

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$\dfrac{5y}{3}=20\ \ \ \ \ |multiply\ both\ sides\ by\ 3\\\\\not3^1\cdot\dfrac{5x}{\not3_1}=3\cdot20\\\\5x=60\ \ \ \ \ |divide\ both\ sides\ by\ 5\\\\\dfrac{5x}{5}=\dfrac{60}{5}\\\\\boxed{x=12}$

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3 years ago

ALOT OF PONTS!!! HELPPP!!! Hi, I would greatly appreciate help with this. I have no idea how to do it.

Digiron [165]

Answer:

Logically, the answer is the sphere, as it is the figure which gives maximum volume for the same total surface area. But I'll just solve them like you want it.

I'm just writing the numerical values without the units.Please resolve

Solid 1: Square Prism with each side of the base equal to 8 in. and a height of 8 in.

Volume = 8^3 = 512

Area = 8^2 * 6 = 384

V/A Ratio = 1.33 (We need the highest ratio, that's why they hired us)

Cost = $7.68

Solid 2: Square Pyramid with each side of the base equal to 10 in. and a height of 15 in.

Volume = 1/3 * 10^2 * 15 = 500

Slant height = [(10/2)^2 + 15^2]^(1/2) = root of 250 = 15.81

Area = 2*10*15.81 + 10^2 = 416.23

V/A Ratio = 1.20

Cost = $8.34

Solid 3: Cylinder with a radius of 4 in. and a height of 10 in.

Volume = pi*4*4*10 = 502.65

Area = 2*pi*4*4 + 2*pi*4*10 = 351.86

V/A Ratio = 1.43

Cost = $7.04

Solid 4: Cone with a radius of 7 in. and a height of 10 in.

Volume = (1/3)*pi*7*7*10 = 513.13

Slant height = [(7^2)+(10^2)]^(1/2) = 12.21

Area = pi*7*12.21 + pi*7*7 = 422.37

V/A Ratio = 1.21

Cost = $8.45

Solid 5: Sphere with a radius of 5 in.

Volume = (4/3)*pi*(5^3) = 523.60

Area = 4*pi*(r^2) = 314.16

V/A Ratio = 1.67

Cost = $6.28

Hence, Solid 5 must be the packaging model opted for

Step-by-step explanation:

Logically, the answer is the sphere, as it is the figure which gives maximum volume for the same total surface area. But I'll just solve them like you want it.

I'm just writing the numerical values without the units.Please resolve

Solid 1: Square Prism with each side of the base equal to 8 in. and a height of 8 in.

Volume = 8^3 = 512

Area = 8^2 * 6 = 384

V/A Ratio = 1.33 (We need the highest ratio, that's why they hired us)

Cost = $7.68

Solid 2: Square Pyramid with each side of the base equal to 10 in. and a height of 15 in.

Volume = 1/3 * 10^2 * 15 = 500

Slant height = [(10/2)^2 + 15^2]^(1/2) = root of 250 = 15.81

Area = 2*10*15.81 + 10^2 = 416.23

V/A Ratio = 1.20

Cost = $8.34

Solid 3: Cylinder with a radius of 4 in. and a height of 10 in.

Volume = pi*4*4*10 = 502.65

Area = 2*pi*4*4 + 2*pi*4*10 = 351.86

V/A Ratio = 1.43

Cost = $7.04

Solid 4: Cone with a radius of 7 in. and a height of 10 in.

Volume = (1/3)*pi*7*7*10 = 513.13

Slant height = [(7^2)+(10^2)]^(1/2) = 12.21

Area = pi*7*12.21 + pi*7*7 = 422.37

V/A Ratio = 1.21

Cost = $8.45

Solid 5: Sphere with a radius of 5 in.

Volume = (4/3)*pi*(5^3) = 523.60

Area = 4*pi*(r^2) = 314.16

V/A Ratio = 1.67

Cost = $6.28

Hence, Solid 5 must be the packaging model opted for

7 0

3 years ago