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andrezito [222]
3 years ago
8

Find the value of x from the given equation. x3 = 125/512 518 Sla 516 815

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

x = 5/8

Step-by-step explanation:

x^3 = 125/512

Take the cube root of each side

x^3 ^1/3 = (125/512)^ 1/3

We know (a/b) ^1/3 = a^ 1/3  / b^1/3

x = (125) ^1/3 / (512)^ 1/3

x = 5/8

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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
Helpppppp!!!!!!!!!!!!!!!
lions [1.4K]
Your answer is D. Hope this helps!


6 0
3 years ago
In Euclidean geometric terms, which of the below would be the best description of a<br> LINE?
Naddika [18.5K]

Answer:

It is a straight object that begins at a point and extends forever in one direction. It is a straight object that extends infinitely in opposite directions without any width or thickness.

7 0
3 years ago
Do these measurements create a triangle? true or false?
Alborosie

Answer:

Question 9: False

Question 10: False

Step-by-step explanation:

The third side is always greater than the other two sides.

<u>Question 9</u>

a = 6, b = 6, c = 5

Since the third side is the smallest, it would not create a triangle.

<u>Question 10</u>

a = 7, b = 2, c = 5

Since the third side is the smallest, it would not create a triangle.

4 0
3 years ago
Read 2 more answers
Each year the seventh graders who study life science participate in a special field trip to the city zoo in 2010 the school paid
juin [17]

Answer:

Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo

Step-by-step explanation:

Relationships between two variables is proportional if their ratios are equivalent.

In 2010, the school paid $1,260 for 84 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 1260:84=15:1

In 2011, the school paid $1,050 for 70 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 1050:70=15:1

In 2012, the school paid $1,395 for 93 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 1,395:93=15:1

As 1260:84=1260:84=1,395:93=15:1,

the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

3 0
3 years ago
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