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3 years ago

Whats the squareroot of 18

Mathematics

2 answers:

Ludmilka [50]3 years ago

8 0

Answer:

18 doesn't have a square root but you can simplify it

$\sqrt{18 }$

then you take 9 which is a square number and divide it to get 3 which you'll place on the outside

$3\sqrt{2}$

andreev551 [17]3 years ago

4 0

Answer:

it should be 4.24264068712 looked it up

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Jackie plans to place a rectangular piece of art inside a rectangular frame. She considers a piece of art that is 0.5 meters lon

tamaranim1 [39]

Answer:

The art is rectangular because $(0.5) ^2 + (1.2) ^2 = (1.3) ^2$

(0.5) squared + (1.2) squared = (1.3) squared

Step-by-step explanation:

Given that the piece of art is rectangular in shape.

Length of piece of art = 0.5 meters

Width of piece of art = 1.2 meters

Kindly refer to the attached image in the answer area.

Two adjacent sides of a rectangle are given, the diagonal value can be found by using Pythagorean Theorem.

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

Here, Hypotenuse will be the diagonal of the rectangle.

Base and Perpendicular will be the two adjacent sides.

Therefore,

$Diagonal^2 = 0.5^2+0.12^2\\\Rightarrow Diagonal^2 = 0.25+1.44\\\Rightarrow Diagonal = \sqrt{1.69}\\\Rightarrow Diagonal = 1.3\ m$

Therefore, the answer is:

The art is rectangular because $(0.5) ^2 + (1.2) ^2 = (1.3) ^2$

(0.5) squared + (1.2) squared = (1.3) squared

3 0

3 years ago

Read 2 more answers

Quickly compute the following differences of squares. (a). 64^2 − 14^2 (b). 112^2 − 88^2 (c). 785^2 − 215^2

VikaD [51]

Answer:

(a) 3900

(b) 4800

Step-by-step explanation:

We have given

(a) $64^2-14^2$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

So $64^2-14^2=(64+14)(64-14)=3900$

(b) We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

$112^-88^2=(112+88)(112-88)=4800$

$785^2-215^2=(785+215)(785-215)=570000$

5 0

3 years ago

Use the equation to answer the following question y=(x-3(x+2)/(x+4)(x-4)(x+2)

givi [52]

Answer:

See below

Step-by-step explanation:

The given rational function is;

$y=\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}$

The given function is not continuous where the denominator is equal to zero.

$(x+4)(x-4)(x+2)=0$

The function is discontinuous at $x=-4,x=4,x=-2$

b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.

The point at x=-4 and x=4 are non-removable discontinuities(vertical asymptotes)

c) The equation of the vertical asymptotes are x=-4 and x=4

To find the equation of the horizontal asymptote, we take limit to infinity.

$\lim_{x\to \infty}\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}=0$

The horizontal asymptote is y=0

8 0

3 years ago

Plssss i need help rn

wariber [46]

Answer:

Step-by-step explanation:

(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)

$Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4$

m = 4

y - y₁ = m (x - x₁)

y - [-2] = 4(x - [-1])

y + 2 = 4(x + 1)

y + 2 = 4x + 4

y = 4x + 4 - 2

y = 4x + 2

8 0

3 years ago

The length of a shadow of a tree is 150 feet when the angle of elevation of the sun is 39°. Approximate the height of the tree.

fomenos

Answer:

The height of tree is approximately 121.5 feet.

Step-by-step explanation:

We are given following in question:

Length of shadow = 150 feet

Angle of elevation of the sun =

$\theta = 39^\circ$

The tree and the shadow forms a right angled triangle.

Thus, with the help of trigonometric relation, we can write:

$\tan \theta = \dfrac{\text{Height of tree}}{\text{Length of shadow}}$

Let x feet be the height of tree.

Putting all the values, we get,

$\tan 39^\circ = \dfrac{x}{150}\\\\0.80978 = \dfrac{x}{150}\\\\\Rightarrow x = 150\times 0.80978\\\Rightarrow x = 121.467 \approx 121.5$

Thus, the height of tree is approximately 121.5 feet.

6 0

4 years ago