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3 years ago

This year, Mr. Thomas will earn 15% more than

Mathematics

1 answer:

andrew11 [14]3 years ago

7 0

Answer:

C. $57.500

Step-by-step explanation:

His earnings this year will be 107% of what they were last year, so ...

107% × $50,000 = $57,500

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Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

2 years ago

it cost 270 for 3 people to go on a fishing trip how much does it cost for 10 people to go on the fishing trip

sdas [7]

270 divided by 3 = 90.

90 is the cost per person.

Now you do 90 times 10 to get the total for all 10 people.

90 times 10= 900.

3 0

2 years ago

Read 2 more answers

A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?

Sladkaya [172]

Answer:

B- 5/1 boards/minutes

Step-by-step explanation:

Unit rate is the number of circuit boards a minute:

25 boards every 5 minutes >>
25/5 boards every 5/5 minutes >>
5/1 boards/minutes

Correct choice is B

3 0

2 years ago

Estimate the solution to the system of equations. 7x−y=7 x+2y=6

ElenaW [278]

Answer:

I am not sure how your teacher wanted you to estimate the answer but I solved it for you. Hopefully this helps.

Step-by-step explanation:

7x-y=7

x+2y=6

14x-2y=14

x+2y=6

add both equations

15x=20

x=20/15

x=4/3

x+2y=6

4/3+2y=6

2y=6-4/3

2y=18/3 -4/3

2y=14/3

divide both sides by 2

y= 14/3 divided by 2

y=14/3(1/2)

y=14/6

2y=

3 0

3 years ago

I got c but not sure for both

belka [17]

Answer:

c588544gvfdf7544rv

Step-by-step explanation:

fd55

8 0

2 years ago

Read 2 more answers