A landscaper is creating a rectangular flower bed such that the width is half of the length.The area of the flower that is 34 ft.² Write an equation to determine the width of the flower bed to the nearest tenth of a foot

Answers

Answer 1

Answer: The Area is $A=l * w$ and we know that $w=(l)/(2)$

Therefore: $34=l * (l)/(2) = (l^(2))/(2)$
$68=l^(2)$
$√(68)=l=8.246$
and thus:
$w=(8.246)/(2)$
$w=4.123$
round to nearest tenth:
$w=4.1feet$

Answer 2

Answer: area=LW
W=L/2
2W=L
A=34
sub 34 for A and 2W for L
34=(2W)W
34=2W^2
divide 2
17=W^2
square root both sides
4.12=W
round tenth
4.1 ft=W

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you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what is the scale factor for the map.

Answers

Hello betzy166817!

The correct answer is: 250 miles per inch.

You can multiply the number of inches on the map by 250 to find the number of miles.

#LearnWithBrainly

brainly.com/question/19520943

A particle moves along the x-axis so that at any time t, measured in seconds, its position is given by s(t) = 4sin(t) - cos(2t), measured in feet. What is the acceleration of the particle at time t = 0 seconds?

Answers

Answer:

The acceleration of the particle at time t = 0 seconds is:

4 feet per square second.

i.e. 4 ft/s²

Step-by-step explanation:

We are given a position function in terms of the time t as:

$s(t)=4\sin (t)-\cos (2t)$

Now, we are asked to find the acceeleration of the particle at time t = 0 seconds.

We know that the acceleration of a particle is given by:

$a=(d)/(dt)v$

where v is the velocity of the particle which is calculated by:

$v=(d)/(dt)s$

Hence, we get:

$a=(d)/(dt)((d)/(dt)s)\n\ni.e.\n\na=(d^2)/(dt^2)s\n\ni.e.\n\na=s''(t)$

i.e. the acceleration of the particle is the double derivative of the position.

$s'(t)=4\cos (t)+2\sin (2t)$

and

$s''(t)=-4\sin (t)+4\cos (2t)$

i.e.

$a(t)=-4\sin (t)+4\cos (2t)\n\ni.e.\ at\ t=0\ we\ have:\n\na(0)=-4\sin 0+4\cos 0\n\ni.e.\n\na(0)=4$

Which pair of measurements is not equivalent?4 lb., 64 oz.
3 tons, 6,000 lb.
108 oz., 8 lb.
10,000 lb., 5 tons

Answers

If you would like to know which pair of measurements is not equivalent, you can calculate this using the following steps:

1 lb = 16 oz
1 ton = 2,000 lb

4 lb = 4 * 16 oz = 64 oz
3 tons = 3 * 2,000 lb = 6,000 lb
8 lb = 8 * 16 oz = 128 oz
5 tons = 5 * 2,000 lb = 10,000 lb

Not equivalent: 108 oz., 8 lb.

10 glasses cost 40 dollars. How much do 20 glasses cost

Answers

To figure this out you would have to multiply 40 by 2 since the first problem is 10 and the next is 20. So the answer would be 80.

The difference of a and b is?-always rational
-sometimes rational
-never rational

The product of a and b is ?

- always rational
- sometimes rational
- never rational

the square root of ab is?

- always rational
- sometimes rational
- never rational

Answers

The difference between a and b is always rational.

The product of a and b is always rational.

The square root of a and b is sometimes rational, sometimes irrational.

It is given that,

a and b are two rational numbers.

What is a rational number?

A number that can be written in the form p/q where q is non-zero is called a rational number, where p and q are integers.

(i) Difference of a and b

Difference between two rational numbers a and b is also a rational number.

let us take an example

Suppose a = 1/2

b = 1/5

a - b = 1/2 - 1/5 = 3/10 (also a rational number)

(ii) Product of a and b

Product of two rational numbers a and b is also a rational number.

Suppose a = 1/2

b=1/5

ab = 1/2 * 1/5 = 1/10 (also a rational number)

(iii) Square root of ab

The square root of ab can be sometimes rational, sometimes irrational.

let us take two example

1) suppose a = 1/9

b = 1/4

ab = 1/36

√ab = 1/6 (also a rational number)

2)suppose a = 1/5

b = 1/2

ab = 1/10

ab = 1/√10 ( an irrational number)

Therefore, The difference between a and b is always rational.

The product of a and b is always rational.

The square root of a and b is sometimes rational, sometimes irrational.

To get more about rational numbers visit:

brainly.com/question/12088221

A rational Number is a number that can be written into a fraction. So sometimes rational.

Consider the following system of equations.Y=3x-7
Y-3x=5
What can you conclude about the system of equations?

The system if equations is inconsistent.

The system of equations is dependent.

The system of equations is independent.

None of these.

Answers

The given equation: y = 3x -7 and y - 3x = 5
Before we answer, let’s solve the given equation:
=> y – 3x = -7
=> y – 3x = 5
=> Subtract both equation. Cross out y – 3x, thus the remaining would be
=> -7 and 5; in where -7 is not equals to 5

Thus the system of equations is inconsistent because an inconsistent system has no solution.
And there is no solution found of the given equations.

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