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Pani-rosa [81]
2 years ago
10

The formula F=1.8C+32 can be used to convert temperature units. F is degrees Fahrenheit, and C is degrees Celsius.

Mathematics
1 answer:
stich3 [128]2 years ago
8 0

Answer:

-40 °F = -40 °C

Step-by-step explanation:

The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Complete the equation you can solve to find that temperature and then use it to find the temperature. Use the variable C to represent the number of degrees Celsius where degrees Fahrenheit and degrees Celsius are the same. The equation is . The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is °C.

F = 1.8 C + 32 (1)

There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius

Then,

F = C (2)

Substitute (2) into (1)

F = 1.8 C + 32 (1)

C = 1.8C + 32

Subtract 1.8C from each side

C – 1.8 C = 32

-0.8C = 32

Divide both sides by -0.8

C = 32 / -0.8

C = -40

Substitute C = -40 into (1)

F = 1.8C + 32 (1)

F = 1.8(-40) + 32

F = -72 + 32

F = -40

Therefore,

The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is -40

That is,

-40 °F = -40 °C

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Please solve these equations much appreciated
Reptile [31]

Answer:      

Part c) V=16,500\ m^3

Part d) V=93,312\pi\ mm^3  or V=292,999.68\ mm^3

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the rectangular base

h is the height of pyramid

<em>Find the area of the base B</em>

B=(60)(15)=900\ m^2

h=55\ m

substitute

V=\frac{1}{3}(900)(55)

V=16,500\ m^3

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

V=\pi r^{2}h

we have

r=36\ mm\\h=72\ mm

substitute

V=\pi (36)^{2}(72)

V=93,312\pi\ mm^3 -----> exact value

<em>Find the approximate value</em>

assume

\pi =3.14

V=93,312(3.14)=292,999.68\ mm^3

7 0
3 years ago
Colin and Brian were playing darts. Colin scored 62. Brian scored 59 more than Colin. What was their combined score?
Kamila [148]

Colin scored 62 and Brian scored 59.

Brian scored 59 more points than Colin, so add 59 to 62. You get 121.

Now, combine Colin and Brian's score.

62 + 121 = 183.


Brian made a total of 121 points.

The total score of the game is 183 points.

6 0
3 years ago
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jonny [76]

Answer:

O.26

Step-by-step explanation:

Divide The cost from the pieces

4 0
3 years ago
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A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the
dangina [55]

Answer:

the number of miles is 160

Step-by-step explanation:

The computation is given below:

Let us assume the miles be x

For company A

y = $100 + $0.40x

And, for company B

y = $20 + $0.90x

In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost

SO,

$20 + $0.90x > $100 + $0.40x

Subtract $20 from both sides

0.90x > 80 + 0.40x

Now subtract 0.40x from both sides

0.50x >80

x>160

So the number of miles is 160

6 0
3 years ago
Which equation shows the relationship between the volume, (V) of the prism and its height (h)?
denis-greek [22]

Answer:

h = V/lw

Step-by-step explanation:

We know the formula for the volume of a rectangular prism is V = lwh. We need to use this equation and solve for h by dividing lw on both sides.

V = lwh

V/lw = h

4 0
3 years ago
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