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Elina [12.6K]
2 years ago
13

Only one question, correct answer gets brainliest

Mathematics
2 answers:
hodyreva [135]2 years ago
7 0

Answer:

16.3420

Step-by-step explanation:

here is what I got

devlian [24]2 years ago
7 0

Answer:

CA ≈ 10 cm

Step-by-step explanation:

Since we know 2 sides and 1 angle we can use the Law of Cosine to find the third side.

CA = √(AB²+CB²- 2· AB· CB· cos 50°)

CA = √(7² +13² -2·7·13· cos 50°)

CA = √(49 +169 -116.987345)

CA = √101.012655

CA = 10.0505

CA ≈ 10 cm

You might be interested in
Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collect
mars1129 [50]

Answer:

If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

Step-by-step explanation:

Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:

Month          Machine Hours          Electricity Costs

January              2,000                           $18,950

February            2,400                           $22,100

March                 1,400                            $14,050

April                   2,600                            $24,100

May                    3,300                            $28,800

June                   2,800                           $23,100

July                    3,600                            $25,300

August               3,000                            $23,300

September         1,500                             $16,600

October             3,200                             $27,100

November         4,200                             $32,100

December         3,700                             $28,300

The explanation of the answer is now provided as follows:

Step 1: Calculation of variable cost per hour

From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:

Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857

Rounding to 2 decimal places as required, we have:

Variable cost per hour = $6.45

Therefore, the variable-cost components using the high-low method is $6.45.

Step 2: Calculation of total fixed cost

The formula for calculating the total cost is given as follows:

Total cost = Total Fixed Cost + Total Variable Cost ................. (1)

Where;

Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs

Using highest levels of activity and substitute into equation (1), we have:

$32,100 = Total Fixed Cost + ($6.45 * 4,200)

Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010

Therefore, the fixed-cost components using the high-low method is $5,010.

Step 3: Derivation of the cost equation for electricity costs

The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:

Total Fixed Cost = $5,010

Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours

Substituting the values into equation (1), we have:

Total cost = $5,010 + ($6.45 * Machine hours)

Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

8 0
3 years ago
I need help finding the solution
Ilya [14]
<h3>Answer:  226 degrees</h3>

=====================================================

Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

---------------------

Use this x value to find the measure of arcs DC and CB

  • arc DC = 12x+7 = 12*5+7 = 67
  • arc CB = 18x-23 = 18*5-23 = 67

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

7 0
3 years ago
Help me asap you guys i need help
Thepotemich [5.8K]

Hi there! :)

Answer:

\huge\boxed{C}

To simplify the process, convert each given weight into standard notation:

Lion:

1 * 10^{5} = 1 * 100000 = 100,000 g

Ant:

2 * 10^{-3}  =  2* 0.001 = 0.002

Divide the ant's weight from the lion's weight:

100000 / 0.002 = 50,000,000

Convert to scientific notation: (use # of zeros to determine exponent)

50,000,000 = 5 * 10^{7}

Therefore, the correct answer is C.

5 0
3 years ago
Please look at the picture!
belka [17]

Answer:

It's A my friend

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write an equation of a line that passes through (-12,-14) with slope 6
shusha [124]
Fill in the slope and that point in y=mx+b

-14=6(-12) + b

-14= -72 + b

b= 58

Y=6x + 58
7 0
3 years ago
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