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Pani-rosa [81]
2 years ago
6

Yea A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 38 ​centimeters, and t

he length of the other leg is 27 centimeters. The student incorrectly says that the length of the hypotenuse is 8.1 centimeters.
Mathematics
1 answer:
kodGreya [7K]2 years ago
3 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = (leg₁)² + (leg₂)²

                     = 38² + 27²

                     = 1444 + 729

                     = 2173

hypotenuse = √2173 = 46.6  cm

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In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution 


We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ +  v₂c₂
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3 years ago
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Faye Tallity earns simple interest on her savings account. She deposits $1,200 into her account and will have $1,344 after 2 yea
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3 years ago
What is the measure of KPN?<br> A. 35°<br> B. 50°<br> C. 60°<br> D.65°<br> E. 70°
luda_lava [24]

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

NL and KM are the two lines intersecting at a point P.

Therefore, ∠KPN ≅ LPM [Vertical angles]

In ΔPLM,

m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]

m∠LPM + 70° + 60° = 180°

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m∠LPM = 50°

Therefore, m∠KPN = 50° [vertical angles]

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

Calculation for the expected profit for one spin of the roulette wheel with this bet

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3 0
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??????? Help please
Ad libitum [116K]

Step-by-step explanation:

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4 0
3 years ago
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