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navik [9.2K]
2 years ago
13

Please Solve This Equation

Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0
The answer is A 7 7/10
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Through a regular hexagon whose base edge is 8cm and whose height ii 12cma hole in the shape of the right prism with ots end bei
guapka [62]

The total surface area of the remaining solid is 48(4+✓3) centimeters square.

<h3>How to calculate the surface area?</h3>

Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.

The formula for the total surface area will be:

= Total surface area=2(area of the base)+ parameter of base × height

where,

Height= 8cm

Parameter of base=12(2) = 24

Area of the base= 6×✓3/4×4² = 64✓3/4

The surface area of the remaining solid will be:

= 2(64✓3/4) + 24 × 8

= 2(64✓3/4 + 192

With the hole is a rhombus prism with the following parameters:

diagonal 1 = 6, diagonal 2 = 8, height = 12

The volume is:

V1 =0.5 × d1 × d2 × h

V1 = 0.5 × 6 × 8 × 12

V1 = 96

The dimensions of the hexagonal prism are:

Base edge (a) = 8

Height (h) = 12

The volume is

V2 = (3✓(3)/2)a²h

V2 = (3✓3)/2) × 8² × 12

V2 = 1152✓3

The remaining volume is

V = V2 -V1

V = 1152✓3 - 96

Learn more about the hexagonal prism on:

brainly.com/question/27127032

#SPJ4

4 0
2 years ago
F(x)=2x^2-5x<br> G(x)=3x^3<br> Find f(2)<br><br> A.-2 B.-18 C.24 D.6
jeyben [28]

Answer:

A

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

f(2) = 2(2)² - 5(2) = 2(4) - 10 = 8 - 10 = - 2 → A

4 0
3 years ago
Read 2 more answers
Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by<br> combining the equations.
Alchen [17]

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

---------------

5(-x+2y)=5(-11)

5x-8y=39

---------------------

-5x+10y=-55

5x-8y=39

--------------------

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

3 0
2 years ago
Solve the system of equations:
Molodets [167]
The answer is D.

Y=2x Y=x(2)-3

2=2(1) 2=3(2)-3

2=2 2=6-3

2=2
5 0
2 years ago
HELP ASAP ILL GIVE BRAINLIST
Minchanka [31]

Answer:

Horizontal line

Step-by-step explanation:

uehdjd

3 0
3 years ago
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