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vaieri [72.5K]
3 years ago
14

I need help with this look at picture Complementary angles

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0
<h3>Answer:  x = 5</h3>

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

Explanation:

The square marker indicates a 90 degree, or right angle.

The two smaller angles (3x and 75) both combine to the larger 90 degree angle. That's what it means when they say we have complementary angles.

Add up the smaller angles, set the sum equal to 90, and solve for x.

3x+75 = 90

3x+75-75 = 90-75 ....... subtracting 75 from both sides

3x = 15

3x/3 = 15/3 ..... divide both sides by 3

x = 5

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

If x = 5, then 3x = 3*5 = 15

Then we can see that 15+75 = 90 to help check our answer.

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Prove that 25^9+5^17is divisible by 30
VLD [36.1K]

Answer:

proof is below

Step-by-step explanation:

Answer:

25^9 + 5^17=

=2^18 + 5^17

=5^17(5+1)

=5^17×6

=5^16×30  is divisible by 30

6 0
2 years ago
The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,020,00
tatyana61 [14]

1. The Year-0 net cash flow is -$1,061,500.

2. The net operating cash flows in Years 1, 2, and 3 are as follows:

Year 1: $288,750 ($386,000 x 1 - 0.25)

Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

Initial cash outlay = $1,061,500 ($1,020,000 + $22,000 + $19,500)

Salvage value = $599,000

Increase in net working capital = $19,500

Annual savings before tax = $386,000

Tax rate = 25%

Annuial savings after tax = $288,750 ($386,000 x 1 - 0.25)

<h3>Determination of Net Present Value (NPV):</h3>

Year      Cashflows        PV Factor     Present Value

0          -$1,061,500               1             -$1,061,500

1              $288,750          0.901           $260,164

2             $288,750          0.812          $234,465

3             $288,750          0.731            $211,076

3             $468,750          0.731          $342,656

Net present value                                -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

#SPJ1

5 0
2 years ago
Xavier runs 0.75 miles each day .How far has he won at the end of 6 days?
Elanso [62]

Answer:

4.5 miles

Step-by-step explanation:

You times .75 and 6 and you should get 4.5 miles

6 0
3 years ago
Read 2 more answers
2(8a + 5b) -(2a + 3b) Part A: Simplify the expression shown above, and include all necessary work to support your answer. Part B
Alex17521 [72]

Answer:

Total cost = <em>$</em> 4.55

Step-by-step explanation:

2(8a + 5b) -(2a + 3b)

<em>Part A: Simplify the expression shown above</em>

Exapanding the brackets;

16a + 10b - 2a - 3b

Collecting like terms;

16a - 2a + 10b - 3b

14a + 7b

<em>Part B: If a represents apples that cost $0.25 each and b represents bananas that cost SO. 15 each, what is the total cost based on the expression above?</em>

a = 0.25

b = 0.15

14a + 7b

Inserting the values into the equation;

14 (0.25) + 7(0.15)

Total cost = <em>$</em> 4.55

6 0
3 years ago
The resting heart rate of an adult is usually about 60 beats per minute. Use your completed table to find approximately how many
Dvinal [7]
60x=1,000,000
----- ---------------
60 60
X=16,666 2/3 or
X=16,666.6667 it would take approximately 16,667 minutes for the average resting heart to beat 1,000,000 times.
3 0
3 years ago
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