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Dima020 [189]
2 years ago
10

By finding tan θ in 2 different triangles find the value of m

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
5 0

Answer:

<u>m = 3.75</u>

Step-by-step explanation:

  • tanθ = 3/4
  • θ = 37°

⇒ Angle opposing 3 in the left triangle is 53°

  • sin53° ⇒ 4/5 = 3/m
  • 4m = 15
  • m = 15/4
  • <u>m = 3.75</u>

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Tickets to a concert cost $15 online and $25 at the door. One hundred more people bought their tickets at the door than online.
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6 0
3 years ago
1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v
geniusboy [140]

Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

5 0
3 years ago
What us the length of the longer side?
julsineya [31]
The perimeter:
P=2\cdot(3x+3)+2\cdot2x=6x+6+4x=10x+6\\\\P=146\ units\to10x+6=146\ \ \ |-6\\\\10x=140\ \ \ |:10\\\\x=14\ units
The length of the longer side:
3x+3=3\cdot14+3=42+3=45\ units

3 0
3 years ago
Solve y=x+5 and 2x-3y=4
stepan [7]

Answer:

x= -19

y= -14

Step-by-step explanation:

Substitution.

It tells you what y is already. You substitute that into the second equation and then solve. Then you use that answer and substitute it back into the first equation's x, and then you'll get your full answer.

Hope this helps <3

4 0
1 year ago
Read 2 more answers
A painter bought 14 gallons of paint just enough to cover 2 room
OverLord2011 [107]
<h3>Answer:</h3>

7

<h3>Step-by-step explanation:</h3>

Based\ on\ the\ given\ conditions,\ formulate:

14\div 2

\frac{14}{2}

Creoss out the common factor

7

<em>I hope this helps you</em>

<em>:)</em>

6 0
2 years ago
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