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kirill115 [55]
3 years ago
5

That’s a Meanie Genie. On an archeological dig near the highlands of Tibet, Alley discovered an ancient oil lamp. Just for laugh

s she rubbed the lamp. She quickly stopped laughing when a huge puff of magenta smoke spouted from the lamp and an ornery genie Murray appeared. Murray gave her two balance scales and nine identical stones as per her three wishes. Alley may use each of the scales exactly once. Choose a possible way for Alley to select the slightly heavier stone containing Ramanujan from among the nine identical-looking stones.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

Arrange the stones into 3groups of 3and place one group on one side of the first balance scale and another group on the other side.

If both sides weigh the same, then she knows that the (heavier) jewel must be in the third group of three. However, if one side is heavier than the other, then she knows that the jewel is one of the three that weighed more. In either case, after only one weighing, Alley is able to identify a group of only three stones among which is the Rama Nujan.

Then take 2 of the 3 stones and place one on each side of the second scale. If one weighs more than the other, then she knows that this stone is the one containing the jewel. If they both weigh the same, then she knows that the third stone must contain the jewel.

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Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40 minutes t
ruslelena [56]
Bill and Amy travel the same distance from home to school of 14.4 kilometers. Amy takes 40 minutes of time to arrive to school which means she has a rate of 14.4 km /40 minutes or 6 meters/ second. Bill takes a total 60 minutes to arrive to school. Hence Bill's rate is equal to 14.4 km/60 minutes or 4 meters/ second.Amy's is 2 m/s faster than Bill's speed, then. 
8 0
3 years ago
En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
Nonamiya [84]

Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

cos^2A=1-sen^2A

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

6 0
2 years ago
Something on sale for $725. The original price was $1299. To the nearest tenth of a percent, what was the rate of discount?
ElenaW [278]

Answer:

44.2%

Step-by-step explanation:

Rate of discount = (difference in prices / original price) x 100

Difference in price = $1299 - $725 = $574

Original price = $1299

($574 / $1299) x 100 = 44.187837%

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth figure is 8, which is greater than 5. 1 would be added to the tenth figure.

So it becomes 44.2%

4 0
2 years ago
Write an expression that has three terms and simplifies to 4x-7.
nikklg [1K]
You get 3x + 4x, +4- -3,and +3 + 4
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3 years ago
What is the total purchase price of a $13.65 shirt if the sales tax rate is 6.2%?
posledela

Answer:

14.49

Step-by-step explanation:

8 0
2 years ago
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