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Monica [59]
4 years ago
12

Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.

Mathematics
1 answer:
Alona [7]4 years ago
5 0

Answer:

y = 56.6208

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

cos(39) = \frac{44}{y}

i.e.

cos(\theta) = \frac{Adjacent}{Hypotenuse}

Make y the subject

y = \frac{44}{cos(39)}

y = \frac{44}{0.7771}

y = 56.6208 -- approximated

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Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
gulaghasi [49]

Answer:

9.5 gallons

Step-by-step explanation:

Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of

cocktail fruits to make a fruit punch.

Each carton of juice is 1 gallon and 3 quarts.

Therefore, 2 cartons will be:

2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts

1 quart = 0.25 gallon

6 quarts = 6 * 0.25 = 1.5 gallons

Therefore, Josh poured 3.5 gallons of orange juice.

Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.

Therefore, the number of gallons that the soda water bottle contains is:

3 * 6 * 0.25 = 4.5 gallons

The  cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.

1 pint = 0.125 gallon

2 pints = 0.25 gallons

=> 6 cans of cocktail fruit is:

6 * 0.25 = 1.5 gallons

The amount of fruit punch that Josh made is the sum of all components:

3.5 + 4.5 + 1.5 = 9.5 gallons

4 0
4 years ago
How can you subtract mixed numbers when the fraction in the front number is less than the second fraction?
irakobra [83]
U have to find a common denominator
5 0
4 years ago
Write an equation of the line that passes through the given points (-2, -6) and (1, 2).
Salsk061 [2.6K]

Answer: 3y - 8x + 2 = 0

Step-by-step explanation:

The formula is

y - y₁        y₂ - y₁

-------   =  ----------   where x₁ = -2, x₂ = 1, y₁ = -6, y₂ = 2,

x - x₁       x₂ - x₁

Now we substitute for the values in the above equation and then solve.

y - (-6)        2 - (-6)        2 + 6          8

----------  =   -----------  =  ---------   =   ----

x - (-2)        1 - (-2)         1 + 2           3

y + 6        8

--------  =  ----  , we now cross multiply to get the required equation.

x + 2        3

3( y + 6 ) =  8( x + 2 )

3y + 18    =  8x + 16

3y - 8x + 18 - 16 = 0

3y - 8x + 2 = 0

8 0
4 years ago
Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number
zhenek [66]

I think the answer is x - y = 4 !

Please correct me if i'm wrong!

4 0
3 years ago
The formula m=logl/s determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensit
user100 [1]

Answer:

nasically this means applied the number of rankings that a 6 on the richter scale is 10 times stronger that a five 100 times stronger than a for and 1000 times stronger than a 3

3 0
4 years ago
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