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zvonat [6]
2 years ago
7

Ode to enchanted light Guiding Questions

Mathematics
1 answer:
Aleks04 [339]2 years ago
7 0
You need to add what the lines are if you want them to be analysed for you^^
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The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle if its area is 195 squa
JulijaS [17]

Answer:

Length=15 cm

Width=13 cm

Step-by-step explanation:

-Let x be the width dimension, the length will be (x-2)

-The area of a rectangle is given by the formula;

A=lw

#We substitute the length and width values and equate to the given area:

A=lw\\195=x\times (x-2)\\\\195=x^2-2x

#Rewrite as a quadratic and solve for x:

195=x^2-2x\\\\x^2-2x-195=0\\\\\# Use \ the \ Quadratic\  formula \ to\  solve:\\\\x_1,x_2=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\therefore x_1,x_2=\frac{-(-2)\pm\sqrt{(-2)^2-4\times 1\times(-195)}}{2\times 1}\\\\\\x_1=15, x_2=-13

Since dimensions are always positve, the x value is 15

x=15

x=13

Hence, the dimensions of the rectangle are length=15 cm and width=13 cm

8 0
3 years ago
Please help, picture attached.
lawyer [7]

Answer:

If angle dgf as an angle of 108

that means that the equation would look like this x + 4x-2=108

= 5x-2=108

then you solve for x

5x=110

110/5 = 22 = x

hope that answers your question

Step-by-step explanation:

8 0
3 years ago
There are 24 books on the bookcase 3/4 of these books are science fiction how many books are science fiction
jok3333 [9.3K]

Answer:

<u>18 of the books are science fiction.</u>

Step-by-step explanation:

24/4 = 6

Science fiction - 6+6+6 = 18

Not science fiction - 24 - 18 = 6

7 0
3 years ago
Veronica is choosing between two health clubs after how many months will the total cost for each health club be the same
Assoli18 [71]

Question:

Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the​ same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25

Answer:

It takes 4 years for the total cost of each club to become equal

Step-by-step explanation:

Given:

For yoga studio A:

membership: $24.00

monthly fee: 21.50.

For yoga studio B:

membership: $41.00

monthly fee: $17.25

To Find:

Number of months after which the total cost for each health club be the​ same = ?

Solution:

Let   x be the number of months of membership, and   y  be equal the total cost.

For Yoga club A

y = 21.50 x + 24

For Yoga club B    

y = 17.25 x + 41.00

we know that the prices,   y , would be equal, we can set the two equations equal to each other.

21.50 x + 24 =17.25 x+ 41.00

Grouping the like terms,

21.50x - 17.25 x= 41.00 -  24

4.25x=17

x=\frac{17}{4.25}

x = 4

6 0
3 years ago
Yati has a coin box containing some coins. 40% of the coins are 20-cent coins and the rest are 50-cent coins.
lana66690 [7]

The fraction that should be removed is 1/5.

<h3>How to calculate the fraction?</h3>

It should be noted that from the information, 40% of the coins are 20-cent coins and the rest are 50-cent coins. Those that are 50 cent will be:

= 100 - 40%

= 60%

The fraction that's should be removed will be:

= 2/5 - x = 1/5

x = 2/5 - 1/5

x = 1/5

The fraction that should be removed is 1/5.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

7 0
1 year ago
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