A car fits onto a golden rectangle with a length of 12 ft. What is the car's width? Write your answer in simplified radical form and rounded to the nearest tenth of a foot.

Answers

Answer 1

Answer: basically, it is when legnth is $(1+ √(5) )/(2)$ the width

legnth=12
legnth= $(1+ √(5) )/(2)$ times width

12= $(1+ √(5) )/(2)$ times width
multiply both sides by 2
24= $1+ √(5)$ times width
subtract 1
23=√5 times width
divide both sides by √5
23/(√5)=width
multiply by (√5)/(√5) to rationalize denomenator
$(23 √(5) )/(5)$ =width

aprox 10.28 so 10.3 ft

w= $(23 √(5) )/(5)$ ft or aprox 10.3ft

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A cube with side length m has a volume of 343 cubic centimeters. The following equation shows the volume of the cube.m^3 = 343m

What is the side length of the cube in centimeters?

Answers

The side length of the cube in centimeters is equal to 7.

Given the following data:

Volume of cube = 343 cubic centimeters.

To calculate the side length of the cube in centimeters:

How to calculate the volume of a cube.

Mathematically, the volume of a cube is given by the following formula:

$Volume = m^3$

Where:

m is the length of sides of the cube.

Substituting the given parameters into the formula, we have;

$343 = m^3\n\n$

Taking the cubic root of both sides, we have:

$m=\sqrt[3]{343}$

m = 7 centimeters.

Read more on volume of a cube here: brainly.com/question/25248189

Answer:

7 cm

Step-by-step explanation:

Given : A cube with side length m has a volume of 343 cubic centimeters.

To Find: What is the side length of the cube in centimeters?

Solution:

Volume of cube = $Side^3$

The side of the cube is m

So, Volume of cube of m = $m^3$

Since the volume of cube is 343 cubic centimeters

So, $m^3=343$

$m=\sqrt[3]{343}$

$m=7$

Hence the length of the cube is 7 cm.

Your teacher puts numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 in a hat and asks you to draw a number. what's the probability that you will draw either a 4 or a 6?

Answers

Total number of numbers = 12

Total number of 4 or 6 = 2

P( 4 or 6) = 2/12 = 1/6

Answer: 1/6

Answer:

1/6

Step-by-step explanation:

Total number of numbers = 12

Total number of 4 or 6 = 2

P( 4 or 6) = 2/12 = 1/6

Answer: 1/6

Tom wants to tile the floor in his kitchen which has an area of 320 ft.² in the store the smallest tile he likes has an area of 1.1 square feetand the largest tile he likes has an area of 1.815 ft.² about how many tiles can be fitted in the given area

Answers

The 291 smallest tile or 177 largest tile.

What is Area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The area of a shape is calculated with the help of its length and width. Length is unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However

Given:

Area of floor = 320 feet²

Area of smallest tile= 1.1 square feet

Area of smallest tile = 1.815 square feet.

Number of smallest tile = 320/1.1 ≈ 291 tiles

Number of large tiles = 320/1.815 ≈ 177 tiles

Hence, the 291 smallest tile or 177 largest tile.

Learn more about area here:

brainly.com/question/27683633

#SPJ2

To use the most tiles, Tom should use the smallest tiles possible, or 1.1 square feet. Because 320/1.1 is about 290, approximately 290 such tiles can be fit in the area.

How much simple interest is earned on $6,000 at an interest rate of 2.25% in 4 1/2 years ?

Answers

I believe the answer is 607.50

Answer: actually It would be 675

Step-by-step explanation:

you put 4.5 which that is wrong it would just be 5 so it would be

I=p*r*t

I=6,000*0.0225*5=675

and that would be your answer

If x3 = -27, then what is x?
A) -9
B) -3
C) 3
D) 9

Answers

The answer is -3

Factor using difference of cubes and set each factor equal to 0.

x=3±3i√3/2

Answer: -3

Step-by-step explanation:

Brenda observes that the keyboard and the screen of an open laptop lie on two different planes. In how many lines do the planes containing the keyboard and the screen intersect?

Answers

Let's assume the laptop is opened at 90 degrees (this is done for the sake of simplicity, is actually irrelevant) then each plane would be analogous to the 'x' and 'y' planes you see in a Cartesian Plane, which only intersect at one point called the Origin. Any two lines with different slopes will intersect only one time (if they're parallel they have the same slope)

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