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Arturiano [62]
3 years ago
8

A chord of a circle of radius 5cm subtains an angle of 70°at the centre.calculate the length of an arc

Business
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer:

Length = 6.11\ cm

Explanation:

Given

\theta =  70\°

Radius, r = 5cm

Required

Determine the length of the subtended arc

Length of an arc is calculated by;

Length = \frac{\theta}{360} * 2\pi r

Substitute  \theta =  70\° and r = 5cm

Length = \frac{70}{360} * 2\pi *5

Length = \frac{70* 2\pi *5}{360}

Length = \frac{700 \pi}{360}

Take π as 22/7

Length = \frac{700}{360} * \frac{22}{7}

Length = \frac{700 * 22}{360 * 7}

Length = \frac{15400}{2520}

Length = 6.11\ cm

<em>Hence, the length of the arc is approximately 6.11 cm</em>

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Schultz Electronics manufactures two ultra high-definition television models: the Royale which sells for $1,580, and a new model
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Answer:

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                                  Royale      Majestic

Cost per unit cost   $971.35    $841.55

Explanation:

a) Data and Calculations:

Information about overhead for the year ended December 31, 2017.

Activity Cost  Cost Drivers      Estimated       Expected Use   Activity-Based

  Pools                                      Overhead    of Cost Drivers     O/H Rate

Purchasing    No. of orders   $1,261,700            40,700             $31/order

Machine        

setups          No. of setups       874,120              16,810             $52/setup

Machining    Machine hours 5,440,500          120,900             $45/hour

Quality          Number of

control           inspections       872,900            30,100         $29/inspection

Total overhead costs         $8,449,220

The cost drivers used for each product were:

Cost Drivers         Royale         Majestic      Total

Purchase orders  17,600          23,100      40,700

Machine setups    14,510          2,300        16,810

Machine hours    75,300        45,600    120,900

Inspections           11,900         18,200      30,100

Allocation of overhead costs:

Cost Drivers               Royale                         Majestic                    Total

Purchasing     $545,600 (17,600*$31)     $716,100 (23,100 *$31) $1,261,700

Machine setup 754,520 (14,510*$52)       119,600 (2,300*$52)       874,120

Machining     3,388,500 (75,300*$45) 2,052,000 (45,600*$45) 5,440,500

Quality Control 345,100 (11,900*$29)      527,800 (18,200*$29)    872,900

Total            $5,033,720                       $3,415,500                     $8,449,220

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Overhead per

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Direct materials                    $650        $420

Direct labor ($20 per hour)    120           100

Manufacturing overhead       201.35      341.55

($42 per DLH)

Total per unit cost               $971.35    $841.55

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