All categories

3 years ago

What is greater 4yd or 13ft

Mathematics

2 answers:

choli [55]3 years ago

8 0

4yds hope this helped

Lorico [155]3 years ago

5 0

4yd=12 feet

12ft<13ft.

13ft is greater than 4yds.

You might be interested in

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$

$12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6$

To check if $r=6$ is a maximum we use the Second Derivative test

if $f'(c)=0$ and $f''(c)$ , then f(x) has a local maximum at x = c.

The second derivative is

$\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2$

Because $A''(r)=-2$ the largest slice is when r = 6 in.

The diameter of the pizza is given by

$D=2r=2\cdot 6=12 \:in$

A 12 in diameter will reward you with the largest slice of pizza.

3 0

2 years ago

mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500

SOVA2 [1]

Answer:

3300

Step-by-step explanation:

Formula

Gross Salary = Basic + Commission

Givens

Basic = 3000

% = 12%

Solution

Gross = 3000 + 12/100 * 2500

Gross = 3000 + 30000/100

Gross = 3000 + 300

Gross = 3300

3 0

3 years ago

Select the correct answer. Which expression is equivalent to x + y + x + y + 3(y + 5)? A. 2x + 5y + 5 B. 2x + y + 30 C. 2x + 5y

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Laura has a rectangular piece of wood that is 7in by 4in she wants to cover it with strips of ribbon that are 1/4 inch wide what

inn [45]

Answer: 112 inches.

Step-by-step explanation:

You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.

Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

$n=\frac{4in}{\frac{1}{4}in}\\\\n=16$

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

$lenght=(16)(7in)\\lenght=112in$

8 0

3 years ago

F(x)=-x-2<br> G(x)= x^2 + 1-x<br> Find (f x g)(3)

nata0808 [166]

Answer:

-36

Step-by-step explanation:

le x be 2 then

f(x) = -2-2 =-4

g(x)= 2square +1-2 =3

to find:(f×g)(3)

(-4×3)(3)

=-36

3 0

2 years ago