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viktelen [127]
3 years ago
14

Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the ed

ges of the small cube. What is the volume of the larger cube?
Mathematics
1 answer:
Tems11 [23]3 years ago
3 0
Surface area of a cube is
6• area of a face or
6• (edge•edge)= 0.25 for the small cube
edge^2= 0.25/6
edge = sqrt ( 0.25/6)=.2041241452

Volume of large cube is
(Edge•6)^3=1.837117307 cube meters

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A regular pentagon has an apothem of 7.3 inches and a perimeter of 53 inches. What is the area of the pentagon? Round your answe
zvonat [6]

Answer:

Area pf the regular pentagon is 193inch^{2} to the nearest whole number

Step-by-step explanation:

In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter

Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;

Area of regular pentagon = 1/2 × apothem × perimeter

From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches

We plug these values into the equation above to get;

Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193inch^{2} to the nearest whole number

3 0
4 years ago
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Can someone answer this question please?
Troyanec [42]

The solution to the inequality 3x-3\leq -15\,\,or\,\,4x-1\geq 11 is x\leq -3\,\,or\,\,x\geq 4

The number line is shown in figure attached.

Step-by-step explanation:

We need to solve the inequality: 3x-3\leq -15\,\,or\,\,4x-1\geq 11

Solving the inequality:

3x-3\leq -15\,\,or\,\,4x-1\geq 11\\Adding\,\,3\,\,on\,\,both\,\,sides\,\,and\,\,1\,\,on\,\,both\,\,sides\\3x-3+3\leq -15+3\,\,or\,\,4x-1+1\geq 11+1\\3x\leq -12\,\,or\,\,4x\geq 12

Divide by 3 and divide by 12

x\leq \frac{-12}{3} \,\,or\,\,x\geq \frac{12}{4} \\x\leq -4\,\,or\,\,x\geq 3

So, value of x can be less than equal to -4 or value of x is greater than equal to 3.

The number line is shown in figure attached.

The solution to the inequality 3x-3\leq -15\,\,or\,\,4x-1\geq 11 is x\leq -3\,\,or\,\,x\geq 4

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/4192226

#learnwithBrainly

7 0
3 years ago
(X^2+2x+5)(2x) simplify this
JulsSmile [24]

Answer:

Step-by-step explanation:

(X²+2x+5)(2x)

= 2x(x²) +2x(2x) + 2x(5)

= 2x³ + 4x² + 10x

6 0
3 years ago
(x - 4)2 + (y + 6)2 = 52
antiseptic1488 [7]

Answer:

Radius r = ±√52

Coordinates of center =

Step-by-step explanation:

Points to remember

Equation of a circle passing through the point (x1, y1) and radius r is given by

(x - x1)² + (y - y1)² = r ²

<u>To find the radius  and coordinates of center</u>

It is given that an equation of circle,

(x - 4)² + (y + 6)² = 52

Compare two equations,

we get  r ²  = 52

r = ±√52

(x - x1)²  = (x - 4)²  then x1 = 4

(y - y1)² = (y + 6)² then  y1 = -6

Coordinates of center = (4, -6)

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4 years ago
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