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2 years ago

2/9 - 1/5 • x write an equivalent expression

Mathematics

1 answer:

Bas_tet [7]2 years ago

6 0

Answer:

1/45

Step-by-step explanation:

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You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

2 years ago

Which monomial is a perfect cube? <br> 16x6<br> 27x8 <br> 32x12 <br> 64x6

miss Akunina [59]

The fastest way is to just use a scientific calculator.

To do it without a calculator, use prime factorization.

I'll only do the second one which is the answer.

27 x 8

= 3^3 x 2^3 = 6^3

Which is a perfect cube.

5 0

3 years ago

Read 2 more answers

What is the distance between Point A: (-4, -3) and Point B (1, 4) ?

Sholpan [36]

Answer:

sq rt 74 which is approx 8.6

Step-by-step explanation:

use distance formula

6 0

2 years ago

Which number sets (i.e. Natural, Whole, Integer, Rational, Real, etc.) are best suited to represent discrete functions? Why? Whi

Dahasolnce [82]

Answer:

Step-by-step explanation:

4 0

2 years ago

In a geometric sequence, A1 = 0.3 and r=3.Find A12, to the nearest integer

soldi70 [24.7K]

Step-by-step explanation:

We have,

First terms of geometric sequence, a = 0.3

Common ratio, r = 3

It is required to find the 12th term of a GP. The formula of the nth term is given by :

$T_n=ar^{n-1}$

Here, n =12

So,

$T_{12}=0.3\times 3^{12-1}\\\\T_{12}=0.3\times 3^{11}\\\\T_{12}=53144.1$

$T_{12}=53144$

So, the 12th term of the GP is 53144.

8 0

3 years ago