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2 years ago

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

Mathematics

1 answer:

kotykmax [81]2 years ago

8 0

Answer: Last one is right C = 5 / 9 (F-32)

Step-by-step explanation: Solving C from equation F = (9/5)C + 32 :

1. multiply by 5 you get 5F = 9C + 160 and 5(F-32) = 9C

2. divide by 9 you get (5/9) (F-32) = C

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The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

Delicious77 [7]

The width of rectangle is $2\frac{1}{4}\ cm$ and length is $5\frac{5}{12}\ cm$

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+ $3\frac{1}{6}=w+\frac{19}{6}$

Perimeter of rectangle = $15\frac{1}{3}=\frac{46}{3}\ cm$

Perimeter of rectangle = 2(Length + Width)

$2(w+\frac{19}{6}+w)=\frac{46}{3}\\2(2w+\frac{19}{6})=\frac{46}{3}\\4w+\frac{19}{3}=\frac{46}{3}$

Subtracting $\frac{19}{3}$ from both sides

$4w+\frac{19}{3}-\frac{19}{3}=\frac{46}{3}-\frac{19}{3}\\4w=\frac{46-19}{3}\\4w=\frac{27}{3}\\4w=9$

Dividing both sides by 4

$\frac{4w}{4}=\frac{9}{4}\\w=\frac{9}{4}$

Therefore,

Width of rectangle = w = $\frac{9}{4}=2\frac{1}{4}$ cm

Length of rectangle = $w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}=\frac{27+38}{12}=\frac{65}{12}=5\frac{5}{12}\ cm$

The width of rectangle is $2\frac{1}{4}\ cm$ and length is $5\frac{5}{12}\ cm$

Keywords: perimeter, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

49.50 increased with 55% discount of 51%=

saw5 [17]

the answer is $37.60

5 0

2 years ago

An investment fund grows at a rate of 17%, once a year. Yahya puts $1,000 in the account as the principal. How can Yahya set up

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

8 0

2 years ago

Help please and show the steps

marshall27 [118]

Answer:

-sin(2A)

Step-by-step explanation:

1-(sin(A)+cons(A))^2

1-(sin(A)^2+2sin(A)cos(A)+cos(A)^2) :use FOIL to get it

1-(1+sin(2A))

1-1-sin(2A)

-sin(2A)

8 0

3 years ago

!TWELVE POINTS + BRAINLIEST ANSWER! Write the equation for an ellipse with y intercepts (0,-3) and (0, 3) and major axis of leng

Mandarinka [93]

Answer:

x²/25 + y²/9 = 1 or 9x² + 25y² = 225

Step-by-step explanation:

We have two points which is y intercepts (0,-3) and (0,3).

We know that the major axis is 2a and secondary axis is 2b

These two points are vertical top of the ellipse which they give us value of half secondary axis b = 3

The length of major axis is 2a = 10 => a = 10/2 = 5 => a = 5

The equation of the ellipse is:

x²/a² + y²/b² = 1 or b²x² + a²y² = a²b²

When we replace value of a and b we get:

x²/5² + y²/3² = 1 or 3²x² + 5²y² = 5² · 3² and finally

x²/25 + y²/9 = 1 or 9x² + 25y² = 225

God with you!!!

8 0

3 years ago