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Pepsi [2]
2 years ago
10

Find x in the triangle below. Round your answer to the nearest tenth.

Mathematics
1 answer:
jonny [76]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

  • x is opposite the 90 degree angle. It is the hypotenuse.
  • 13 makes up the 57 degree angle. It is the side adjacent.
  • The adjacent side and the hypotenuse define the cos(theta).

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

  • Cos(57) = 13 / x         Multiply both sides by x
  • x*cos(57) = 13           Divide by cos(theta)
  • x = 13/cos(57)
  • x = 13 / cos(57)
  • cos(57) = 0.5446
  • x = 13/ 0.5446
  • x = 23.87
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8 (6× + 5) + 2× equivalent
Licemer1 [7]
8(6x + 5) + 2x
8(6x) + 8(5) + 2x
48x + 40 + 2x
50x + 40
5 0
3 years ago
Arthur is saving money to buy a used car in 8 months. The car costs $2,180. Arthur plans to start with an initial deposit and th
Zolol [24]

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

  • X x 1.25 x 1.56 x 1.95 x 2.44 x 3.05 x 3.81 x 4.76 = 2180
  • 514.10X = 2180
  • X = 2180 / 514.10
  • X = 4.24

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

Learn more about maths in brainly.com/question/25749130

6 0
3 years ago
And an electronics warehouse ships TVs and DVD players to retailers all throughout the United States. The weight of three televi
vodomira [7]
X= weight of TV
y= weight of CD

3x+5y= 62.5
3x+ 2y= 52
You can either solve for a variable, or eliminate a variable by subtracting the second equation from the first:

3x + 5y = 62.5
-(3x+2y = 52)
0 + 3y = 10.5, so y = 10.5/3 or 3.5.

Now plug y= 3.5 back into any equation to get x:

3x + 5(3.5) = 62.5
3x + 17.5 = 62.5
3x = 45
x = 15
Always check work. Both equations should be true for x=15, y= 3.5
4 0
3 years ago
Is it possible to create two triangles with congruent side lengths but different angle measurements?
kotykmax [81]
Yes. If the side lengths are different, you can end up with different angle measurements (example: SSA~ property. You can have two sides that are the same but you can make two different triangles with those side lengths and that one angle.)
8 0
3 years ago
Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as
My name is Ann [436]

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

Speed allowed in the zone = 45 miles per hour zone.

Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.  

1 mile = 1609.34 meters

1 hour = 3600 second

Now convert 20.3 into mile per hour.

20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.

Since Tom’s speed is more than the allowed speed so he is speeding.

7 0
3 years ago
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