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3 years ago

Please help me..thank you

Mathematics

1 answer:

Sergio039 [100]3 years ago

5 0

Answer:

7π cm² ≈ 22.0 cm²

Step-by-step explanation:

The shaded area is the difference between the area of Circle B and the areas of Circle C and Circle O. That is, those white areas are subtracted from the area of Circle B to get the shaded area.

The formula for the area of a circle is

A = πr²

Using this, we find ...

Circle B area = π(3 cm)² = 9π cm²

Circle C area = Circle O area = π(1 cm)² = π cm²

Then the shaded area is ...

Shaded Area = Circle B area - Circle C area - Circle O area

= (9π cm²) - (π cm²) - (π cm²)

= 7π cm² ≈ 22 cm²

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

3 0

3 years ago

Last year, the average American used 167 disposable water bottles (16.9 oz or 0.132 gallons). If the cost of 1 gallon of tap wat

Mrrafil [7]

Answer:

The money that could be saved by drinking tap water is $165.46.

Step-by-step explanation:

Given:

Cost of 1 bottle of water = $1.00

Number of bottles consumed = 167

Volume of water used in 1 bottle = 0.132 gallons

So, volume of water used in 167 bottles = 167 × 0.132 = 22.04 gallons

Cost of 1 gallon of tap water = 7 cents = $0.07

In order to determine the money saved using tap water, we first find the cost of 167 bottles.

Using unitary method,

1 bottle cost = $1.00

167 bottles cost = Number of bottles × Cost of 1 bottle

= 167 × $1.00 = $167.00

Now, 167 dollars is spent for consuming 22.04 gallons of water.

Now, cost of 1 gallon of tap water = $0.07

So, cost of 22.04 gallons of tap water = 22.04 × 0.07 = $1.54

Therefore, the money saved by drinking tap water is given as:

Money saved = Money spent in bottles for 22.04 gallons - Money spent in tap water for the same volume

Money saved = $167.00 - $1.54 = $165.46

Hence, the money that could be saved by drinking tap water is $165.46.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Alexeev081 [22]

D = 20 , v = 19
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= 620 - 114
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2 years ago

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