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sesenic [268]
4 years ago
13

Find the value of x....

Mathematics
1 answer:
andreev551 [17]4 years ago
5 0

Answer:

x = 42

Step-by-step explanation:

x is equal to half the difference of the intercepted arcs, that is

x = 0.5(152 - 68) = 0.5 × 84 = 42

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Mr. McGloughlin’s horses eat a total of 19 liters 2 deciliters of rolled oats, and drink a total of 46 liters 4 deciliters of wa
Hunter-Best [27]

Answer:

459.2 liters.

Step-by-step explanation:

Let us convert our given amount of rolled oats and water in deciliters.

1 liter = 10 deciliters

19 liters = 19*10 deciliters = 190 deciliters.

\text{Total amount of rolled oats consumed per day}=(190+2)\text{ deciliters}

\text{Total amount of rolled oats consumed per day}=192\text{ deciliters}

46 liters=46*10=460 deciliters

\text{Total amount of water consumed per day}=(460+4)\text{ deciliters}

\text{Total amount of water consumed per day}=464\text{ deciliters}

Now let us find weekly consumption of oats and water by multiplying daily consumption of both items by 7.

\text{Total weekly consumption of oats and water}=7*(464+192)\text{ deciliters}

\text{Total weekly consumption of oats and water}=7*(656)\text{ deciliters}  

\text{Total weekly consumption of oats and water}=4592\text{ deciliters}

Let us convert weekly consumption of water and oats into liters.

\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10\frac{\text{ deciliters}}{\text{liter}}}  

\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10}\cdot\frac{\text{ liters}}{\text{ deciliters}}}

\text{Total weekly consumption of oats and water}=\frac{4592}{10}\text{ liters}

\text{Total weekly consumption of oats and water}=459.2\text{ liters}

Therefore, total weekly combined consumption of oats and water is 459.2 liters.

5 0
3 years ago
Read 2 more answers
Mike went shopping at the Nike outlet in Rehoboth Beach, DE. There is no additional sales tax in the state of Delaware. He bough
Dahasolnce [82]

Answer:

$25 each pair of shorts

Step-by-step explanation:

5(15)+2x=125

2x=50

x = 25

8 0
3 years ago
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Find the area of the sector of the circle Radius. 7kmCentral angle. 2pi over 3<br> Show steps
viktelen [127]

9514 1404 393

Answer:

  51.3 km²

Step-by-step explanation:

The area formula is ...

  A = 1/2r²θ . . . . where θ is the central angle in radians

  A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²

6 0
3 years ago
In a random sample of students at a middle school 24 wanted to change the mascot and 30 wanted to keep the current mascot which
olasank [31]

In a random sample of students at a middle school 24 wanted to change the mascot and 30 wanted to keep the current mascot.

So total number of students in the sample = 30+24= 54

Number of students in random sample who wanted to keep the current mascot = 30

So out of 54 students 30 wanted to keep current mascot.

So for 1140 students = (30/54)*1140  = 633 students want to keep the currect mascot.

Answer: Third option 633 students.

4 0
3 years ago
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Round 87,441 to the nearest thousand.
EleoNora [17]

Answer:

87000

Step-by-step explanation:

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3 years ago
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