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Mumz [18]
3 years ago
11

One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is $30^\circ$. what is the number of in

ches in the hypotenuse of the triangle?
Mathematics
1 answer:
Alik [6]3 years ago
4 0
Ok

in a 30-60-90 right triangle, if the leg oposite the 30 degree angle is x then the hypontuse is 2x

if the leg oposite the 30 degree angle is 12 inches then the hypontuse is 12*2 or 24 inches
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A store brought a case of disposable cameras for $300. The store's profit p on the cameras is a function of the number c of came
rewona [7]

Answer:

Range: {-300, -210, 0, 72}

Step-by-step explanation:

Given:

Cost price of each camera = $300

The function for profit 'p' is given as:

p=6c-300

Where, 'p' is the profit and 'c' is the number of cameras sold.

The domain of the function is: {0, 15, 50, 62}

Now, range is the output of the above function for the given domain.

Here, 'c' is the independent variable and hence the domain.

So, plugging in the values of 'c' in the above function will give the set of values of range.

For c=0, the profit is given as:

p(0)=6(0)-300\\p(0)=-300

For c=15, the profit is given as:

p(15)=6(15)-300\\p(15)=90-300=-210

For c=50, the profit is given as:

p(50)=6(50)-300\\p(50)=300-300=0

For c=62, the profit is given as:

p(62)=6(62)-300\\p(62)=372-300=72

Therefore, the range of the given function is: {-300, -210, 0, 72}

The above range represents the profit of the store when 'c' number of cameras are sold. The domain represents the number of cameras that are sold by the store.

So, negative profit means the store has a loss on selling that number cameras.

The store suffers loss upto 50 cameras sold. When the number of cameras sold is 50, there is neither loss not profit. At this point, total cost price equals total selling price. This is also break even point.

After this point, the store will have a net profit. So, for 62 cameras sold, the net profit of the store is $72.

6 0
3 years ago
Find The Domain Of This Function<br><br> <img src="https://tex.z-dn.net/?f=%5C%5Bh%28x%29%20%3D%20%5Cfrac%7B3x%20-%201%7D%7B%5Cs
iogann1982 [59]

Answer:

Step-by-step explanation:

domain: x>5

range: y > 0

8 0
3 years ago
Jimmy scored a total of 80 points on 2 tests. He scored 10 points more on the 2nd test. What was his score on the first test?
zavuch27 [327]
35 would be the answer. 45+35=80 and 45 is 10 more than 35
5 0
3 years ago
What's 4x² - 9y² factorised?
algol [13]
It can't be factorized it has no common factors no factor of 4 will go easily into 9
4 0
3 years ago
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliv
Vaselesa [24]

Answer:

1 litro de leche cuesta 2.5

1 kg de jamón serrano cuesta 35

1 litro de aceite de oliva cuesta 7,5

Step-by-step explanation:

Pregunta correcta completa

Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.

Solución

Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.

16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240

16x + 4y + 8z = 240 (ecuación 1)

1 litro de aceite cuesta el triple de 1 litro de leche

z = 3x (ecuación 2)

Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.

y = 5x + 3z (ecuación 3)

Sustituyendo las ecuaciones 2 y 3 en la ecuación 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recordemos que z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

English Translation

A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.

Solution

Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.

16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240

16x + 4y + 8z = 240 (eqn 1)

1 liter of oil costs the triple of 1 liter of milk

z = 3x (eqn 2)

And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil

y = 5x + 3z (eqn 3)

Substituting eqn 2 and 3 into eqn 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recall that z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

1 liter of milk costs 2.5

1 kg of Serrano ham costs 35

1 liter of olive oil costs 7.5

Hope this Helps!!!

4 0
3 years ago
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