All categories

3 years ago

What should be multiplied by the expression in the image to obtain the smallest square

Mathematics

1 answer:

makkiz [27]3 years ago

4 0

Answer:

2xy

Step-by-step explanation:

Here, we want to obtain the number with the smallest square

To get this, we simply find the nearest number square which is 2

The nearest x squared which is x (to get x^4)

The nearest y squared which is y (to get y^2)

Thus, the smallest number so we get a square will be; 2xy

You might be interested in

A rectangular prism with a volume of 45 cubic centimeters and a height of 3 cm has a base with an area of

olga55 [171]

Answer:

Area: 15cm^2

Base: 5cm

Step-by-step explanation:

The volume of a Rectangular Prism is given as:

V= wlh

Where W = Base

L = Length

H= Height

From the question:

The Volume V = 45cm^3

The Height H = 3

But, Area = Length * Width

Therefore :

Volume V = Area * Height

45 = A * 3

A = 45/3

A= 15cm^2

Solving for Base:

Area = height * Base

15 = 3 * Base

Base = 15/3

Base = 5cm

3 0

3 years ago

Find the value of Sin^-1(-√3/2)

garri49 [273]

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

6 0

3 years ago

Find the missing side or angle. round to nearest tenth A=18 B=28 C=100 a=?

igomit [66]

Answer:

The missing side, a = 100.50

Step-by-step explanation:

The given information are;

A = 18

B = 28

C = 100

a = Required,

The number of data points in the definition = 3, therefore, the figure is a three sided figure or a triangle

The sum of the given data is 18 + 28 + 100 = 146 which is less than the sum of the interior angles of a polygon, the minimum of which is 180° for a triangle.

However, the length of the two sides A and B are less than the third side C, therefore, the sides need more length for them to form a triangle

The fourth required information can be taken as the fourth side of a trapezium, to give;

Length of a = √((28 - 18)² + 100²) = 100.499, which can be written to the nearest 10th as 100.50.

7 0

4 years ago

Find the composite functions (f ∘ g) and (g ∘ f). what is the domain of each composite function? \[ \begin{array}{rcl} f(x) &amp

Burka [1]

Always remember two steps while finding the domain of composite function.

1) First find the domain of inside/ input function( A common mistake is to skip this point).

2) Find the domain of new function after performing the composition.

In our case, the given functions are

$f(x)=\frac{3}{x}$ , $g(x)= x^{2} -81$

Now,

1) (f ° g)(x)

= f[g(x)]

=f[x²-81]

$= \frac{3}{x^{2}-81}$ (this is (f ° g)(x) function)

Now, its domain

First find the domain of input function which is x²-81, its domain is the set of all real numbers.

domain of new function after performing composition which is $\frac{3}{x^{2}-81}$ .

x²-81=0 ⇒ (x-9)(x+9)=0

(x-9)=0 , (x+9)=0

x=9 , x=-9 (exclude these points from the domain because anything/0 does not exist in math)

So, the Domain of Composite function (f °g)(x) is the set of all real numbers except x=9, x=-9.

Domain= (-infinity, -9)U(-9, 9)U(9, infinity)

2) (g °f)(x)

= g[f(x)]

= g[3/x]

= (3/x)² -81

= 9/x² -81

$=\frac{9-81x^{2}}{x^{2}}$

First find the domain of input function 3/x which is set of all real numbers except x=0

$\frac{9-81x^{2}}{x^{2}}$

Domain of above function after performing composition is set of all real numbers except x=0

So, the domain of (g° f)(x) is the set of all real numbers except x=0.

Domain= (-infinity, 0)U(0, infinity)

6 0

4 years ago

Nate and his friends eat at a restaurant for supper. The total bill was $52.43. Nate

Yanka [14]

Answer:

Nate should leave a tip of $6.30.

Step-by-step explanation:

Since the total bill was $52.43, and Nate wants to leave a 12% tip, you would have to find out what 12% of 52.43 is. To find this out you would multiply 52.43 by 12%. This is 6.2916. So, to leave the waiter a 12% tip, Nate would leave about $6.30.

8 0

4 years ago