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kobusy [5.1K]
3 years ago
6

What it is the square root of 82 in decimal form

Mathematics
2 answers:
sergeinik [125]3 years ago
7 0
The answer is 9.05538513814
Hunter-Best [27]3 years ago
4 0

Answer:

9.05538513814

Step-by-step explanation:

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A ladder that is 6 meters long leans
alexira [117]

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

6 0
3 years ago
Solve the following equation: lim x->0 sin3x/5x^3-4x.
goblinko [34]
Usual limit of sin is sinX/X--->1, when X--->0

sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x=                    [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
   =(sin3x / 3x) . (3/5x^2- 4)
finally lim  sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
                 x----->0            x---->0
3 0
3 years ago
Pls I really need help with this question!!!!
pav-90 [236]
Answer: 43.6 (Rounded to the tenth)

Explanation: Use the method of: SOH CAH TOA.
Using TOA, T = Tangent.

tan(71) = x/15. Using the butterfly method you can just do the following equation:

15 tan(71) = 43.56 (Rounded to tenth) —> 43.6
4 0
2 years ago
Can somebodyy pls help meee :))<br> https://brainly.com/question/21004329
klemol [59]

Answer:

sure can

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. Find the dimensions of such a box if
murzikaleks [220]

Answer:

6 in x 6 in x 3 in.

Step-by-step explanation:

Given

V = xyz = 108   ⇒   z = 108/(xy)

The amount of the material used is

S = xy + 2yz + 2xz

Put value of z from the volume

S = xy + 2y*108/(xy) + 2x*108/(xy) = xy + 216/x + 216/y

Now, we find the relative minimum of the function S(x,y)

First, we find the critical point. Set Sx = 0  and  Sy = 0

and solve this system:

Sx(x,y) = y - (216/x²) = 0

Sy(x,y) = x - (216/y²) = 0

From the first equation we have

y = 216/x²

Put it in the second equation and find x

x - (216/(216/x²)²) = 0

⇒  x*(1 - (x³/216)) = 0

⇒  x₁ = 0   and  x₂ = 6

Now, we can find y as follows

y₁ = 216/(0)²   which is undefined

y₂ = 216/(6)² = 6

Hence, the only critical point of S is (6, 6). Next, we calculate the second ordered derivatives that we need for the second derivative test:

Sxx(x,y) = 432/x³

Sxy(x,y) = 1

Syy(x,y) = 432/y³

Applying the second derivative test

D(6, 6) = Sxx(6, 6)*Syy(6, 6) - S²xy(6, 6) = 2*2 - 1² = 4 -1 = 3 > 0

Sxx(6, 6) = 2 > 0

Since D(6, 6) > 0   and   Sxx(6, 6) > 0   we can conclude that S has a relative minimum at (6, 6).

z coordinate is:

z = 108/(xy) = 108 / (6*6) = 3

Finally, the dimentions of a box are 6 in x 6 in x 3 in.

6 0
3 years ago
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