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klio [65]
3 years ago
5

The width of a rectangle is 2x + 4 and the length of the

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Given:

Width of a rectangle = 2x+4

Length of the rectangle = 6x+12

To find:

The ratio of the width to the length.

Solution:

We need to find the ratio of the width to the length.

\text{Required Ratio}=\dfrac{\text{Width}}{\text{Length}}

Putting the given values, we get

\text{Required Ratio}=\dfrac{2x+4}{6x+12}

\text{Required Ratio}=\dfrac{2(x+2)}{6(x+2)}

\text{Required Ratio}=\dfrac{2}{6}

\text{Required Ratio}=\dfrac{1}{3}

\text{Required Ratio}=1:3

Therefore, the ratio of the width to the length is 1:3.

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babymother [125]
Volume of a cone, V = πr^2h/3

r = Sqrt 3V/πh = Sqrt [(58.9*3)/(3.14*9)] = 2.5 cm, minimum

Surface area, A = πr [r+ Sqrt (h^2+r^2)] =  3.14*2.5*[2.5+ Sqrt (9^2+2.5^2)] = 92.95 cm^2

Therefore, minimum amount of paper required is 92.95 cm^2
4 0
3 years ago
A ferris wheel is 10 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position
Murrr4er [49]

Answer:

The equation is:

f (t) = 4 + 5 (1 - cos (2pi t / 2))

Step-by-step explanation:

with the previous exercise we look for the equation for h = f (t)

So the data we have are

Wheel diameter = 10m (wheel radius = 5m)

1 wheel gets 1 revolution in 2 minutes.

the beginning of a entry will be related to that f (0) = 4

our wish is that f (z) get at least 4 with an amplitude of 5 (this value determines the radius of the wheel) for 2 minutes

with this the particle f (t) is transformed into

f (t) = 4 + 5 (1 - cos (2pi t / 2))

We know that the maximum value of cos in t will be 0, 1 -cos has minutes, the result will be as follows:

f (t) = 4 + 5 (1 - cos (2pi t / 2))

5 0
3 years ago
Helpppppp me right now!
Rudik [331]

Answer:

B and D

7/12 cups

Step-by-step explanation:

2 1/3 + 2 1/4 = cups of flour needed

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2 1/3 + 2 1/4

To have the same denominator, we take the lcm

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Or

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4 7/12 - 4 = 7/12 cups of flour needed

8 0
3 years ago
Find the 7th term in the sequence -10,-6,-2,2...
jeyben [28]

1st term = -10

2nd term = -6

3rd term = -2

4th term = 2

5th term = 6

6th term = 10

7th term = 14


The reason how I got 14 for the 7th term is because, i added 4 to each term.


Hope this helps!

3 0
3 years ago
Read 2 more answers
ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?
ruslelena [56]

Answer:

A reflection over the line x=3

Step-by-step explanation:

5 0
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