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Sever21 [200]
3 years ago
7

Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w

hat is the original price to the nearest cent?
Mathematics
1 answer:
Orlov [11]3 years ago
6 0
P - 0.30= $18.75


18.75 + 0.30 = p


$19.05 = p


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The temperature, T, of a given mass of gas varies inversely with its Volume,V. The temperature of 98 cm ³ of a certain gas is 28
Naily [24]

Answer:

T₂ = 421.4 K

Step-by-step explanation:

The temperature, T, of a given mass of gas varies inversely with its Volume,V.

T\propto \dfrac{1}{V}\\\\V_1T_1=V_2T_2

We have,

V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K

V₂ = 70 cm₃

We need to find the new temperature of the gas. Using the above relation to find T₂.

T_2=\dfrac{V_1T_1}{V_2}\\\\T_2=\dfrac{98\times 301}{70}\\\\T_2=421.4\ K

Hence, the required temperature of the gas is 421.4 K.

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vesna_86 [32]
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2(8x+2) + 2(6x + 6)
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Work out the area of 5e parallelogram
Vedmedyk [2.9K]

Answer: The area is 268 cm squared (approximately)

Step-by-step explanation: The area of a parallelogram is given as ;

Area = b x h

Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;

Sin 79 = opposite/hypotenuse

Sin 79 = h/13

By cross multiplication we now have

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Area = 21 x 12.76

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