Marcus plays basketball 42 hours a week. This is 6 times as many as he plays chess. How hours a week does Marcus play chess

What are the first 50 numbers of pie?

Tomtit [17]

Answer:

3.14159265358979323846264338327950288419716939937510

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the area of each shaded region each outer polygon is regular <br><br><br> See the picture

PSYCHO15rus [73]

Answer:

Area of the shaded region = 3.46 square units

Step-by-step explanation:

Measure of the interior angle of a regular polygon = $\frac{(n - 2)\times180}{n}$

From the picture attached,

Number of sides of the given polygon 'n' = 6

Interior angle (∠BAF) of the given polygon = $\frac{(6 - 2)\times 180}{6}$

= 120°

Measure of ∠BAC = $\frac{120}{4}$

= 30°

Now we apply sine rule in ΔAGB,

sin(30°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

= $\frac{BG}{AB}$

BG = AB[sin(30°)]

= $2\times \frac{1}{2}$

= 1

By applying cosine rule in ΔABG,

cos(30°) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{AG}{AB}$

AG = AB[cos(30°)]

= $2\times \frac{\sqrt{3} }{2}$

= $\sqrt{3}$

AC = 2(AG)

= 2√3

Area of ΔABC = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(AC)(BG)$

= $\frac{1}{2}(2\sqrt{3} )(1)$

= $\sqrt{3}$

Area of the shaded region = Area of ΔABC + Area of ΔFED

= 2(Area of ΔABC)

= 2√3

= 3.46 square units

6 0

3 years ago

Ivanhoe Company is considering buying a new farm that it plans to operate for 10 years. The farm will require an initial investm

Ludmilka [50]

The NPV of this investment if the discount rate is 10 percent is: 1.58%.

<h3>Net present value (NPV)</h3>

Year Cash flow PVIF 10% Present value

0 ($11.86) 1.000 ($11.86)

1 1.90 0.909 $1.73

2 1.90 0.826 $1.57

3 1.90 0.751 $1.43

4 1.90 0.683 $1.30

5 1.90 0.621 $1.18

6 1.90 0.564 $1.07

7 1.90 0.513 $0.98

8 1.90 0.467 $0.89

9 1.90 0.424 $0.81

10 6.45 0.386 $2.49

NPV $1.58

1.9+5.25-2×35%=6.45

Hence, the NPV is $1.58.

Learn more about NPV here:brainly.com/question/17185385

#SPJ1

3 0

2 years ago

Use the drop-down menus to complete each statement about different aspects of capitalism.

musickatia [10]

Answer:

1- Laissez-fare capitalism means that the government reduces its involvement in the economy.

2- In a capitalist system, private investors own most factories and businesses.

3- In a free market, the law of supply and demand determines the price of goods.

Step-by-step explanation:

1- Laissez fare is a French expression that refers to liberal economic policies, in which economic actors have ample freedom to carry out different activities without limitations, regulations or government controls, thereby reducing their participation in the economy.

2- In capitalism, the means of production are owned by the different actors who, through the investment of their capital, acquire them and use them to produce new goods or services. These people, called investors, control these media (factories, industries, companies, etc.) and give jobs to people, who produce for these investors in exchange for a salary.

3- The concept of free market implies an economic system in which there are no government regulations that govern the consumption or production of goods and services in a given territory. Thus, the goods offered, their price and their characteristics are determined exclusively by the market, which through the law of supply and demand (that is, through the price bid between consumers and producers) determines their prices.

4 0

4 years ago

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Convert 14.75 to its equivalent fraction expressed in lowest terms

stellarik [79]

Either its 14 and 3 4ths or 59 4ths. its depends on what fractions it wants it in. hope this makes sense!

6 0

3 years ago