A rectangular block of metal is 25cm long, 11cm wide and 9cm high. The metal block is melted down and all of the metal is used to make a cube. Work out the length of each side of the new cube formed

Answers

Answer 1
Answer:

Answer:

29.03 cm

Step-by-step explanation:

Step one:

given

A rectangular block of metal is

25cm long

11cm wide and

9cm high.

The volume of the block is

= 25*11*9

= 2475cm^3

Required

The dimension of an equivalent cube

we know that volume of cube

v=l^3

24475=l^3

cube root both sides

l= ∛24475

l= 29.03 cm

Answer 2
Answer:

Answer:

13.5cm

Step-by-step explanation:

Tried the other answer and got it wrong and saw the right one.


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in a rational no. twice the numerator is 2 more than the denominator. if 3 is added to each, the numerator or the denominator, the new fraction is 2/3. find the original no.

Find the value of a over b when a = 6 and b = 3

Answers

(a)/(b) = (6)/(3) =2

Enter the range of values for x: 48° 2x-12 16 22 AB=AD​

Answers

Answer:

6<x<30

Step-by-step explanation:

x is between x and 30

greater than 6 but less than 30

I hope it helps!

Answer:

its 6 I just took the assignment

-2(n+3)=13 solve for n

Answers

Answer:

1. Simplify:

-2(n + 3) = 13
-2n - 6 = 13

2. Change „-6” side to right (to get answer), without forgetting to change the sign:

-2n - 6 = 13
-2n = 13 + 6
-2n = 19

3. Simplify (The „|” means operation done at both sides of equation):

-2n = 19 |:(-2)
n = -9.5

Proof:
-2(-9.5 + 3) = -2 * (-6.5) = 13

Hope this helps!
N= -8
This is the work :

The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.

Answers

Answer:

sin α = (y)/(r) = (1)/(√(10) )

cos α = (x)/(r) = (3)/(√(10) )

tan α = (y)/(x) = (1)/(3)

cot α = (x)/(y) = (3)/(1)

sec α = (r)/(x) = (√(10) )/(3)

csc α = (r)/(y) = (√(10) )/(1)

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = √(x^2+y^2)

Here it is: √(3^2+1^2) = √(9+1) = √(10)

So we have:

x = 3

y = 1

r = √(10)

Now we can calculate all 6 trig, functions:

sin α = (y)/(r) = (1)/(√(10) )

cos α = (x)/(r) = (3)/(√(10) )

tan α = (y)/(x) = (1)/(3)

cot α = (x)/(y) = (3)/(1)

sec α = (r)/(x) = (√(10) )/(3)

csc α = (r)/(y) = (√(10) )/(1)

Final answer:

The question involves calculating the six trigonometric functions (Sin, Cos, Tan, Csc, Sec, Cot) for an angle in standard position with its terminal side passing through point (3,1). We find opposite and adjacent sides from the point's coordinates, the hypotenuse from Pythagoras' theorem, and calculate each ratio accordingly.

Explanation:

In the context of the problem, the point (3,1) specifies the terminal side of angle θ in standard position. This point is effectively the definition of your right triangle's opposite (y) and adjacent (x) sides in the trigonometric calculation, with the hypotenuse (h) obtained from Pythagoras' Theorem (h² = y² + x²). In this case, we get h = sqrt(3² + 1²) = sqrt(10).

The six trigonometric functions are defined as follows for this scenario:

  • Sin θ = y/h = 1/sqrt(10).
  • Cos θ = x/h = 3/sqrt(10).
  • Tan θ = y/x = 1/3.
  • Csc θ = 1/sin θ = sqrt(10).
  • Sec θ = 1/cos θ = sqrt(10)/3.
  • Cot θ = 1/tan θ = 3.

Learn more about Trigonometric Functions here:

brainly.com/question/28483432

#SPJ3

What is the volume of 5 m 8m and 10.5m​

Answers

Answer:

Volume = 5×8×10.5 = 420 meters3

Step-by-step explanation:

5×8×10.5

We have:\overline{abc}

a,b,c are natural prime numbers and

a\cdot b \cdot c=30


What are the numbers? Without using GUESS-WORK!

Answers

30=2\cdot15=2\cdot3\cdot5

If you have no other data such as a < b < c, or other (even-odd number), then you have 6 answers:

235\n253\n325\n253\n523\n532

Factorize 30.

30|2
15|3
5|5
1

30=2\cdot3\cdot5\n\Downarrow\na=2\nb=3\nc=5