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frozen [14]
1 year ago
15

Find the value of x. Round your answer to the nearest tenth

Mathematics
1 answer:
Sati [7]1 year ago
6 0

x=13.8

<u><em>Step-by-step explanation:</em></u>

  • Since the triangle is right use the tangent ratio to solve for x

tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}

  • Multiply both sides by x

x × tan41^o=12 ( divide both sides by tan41^o )

x =  ≈  ( nearest tenth )

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Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 79.
xxMikexx [17]

<u>Answer:</u>

Price of the​ adult's ticket = $13

Price of a​ child's ticket = $ 10

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

Given:

Cost of train fares for Three adults and four children = $79

Cost of train fares Two adults and three children  = $ 56

To Find:

Price of the​ adult's ticket and the price of a​ child's ticket =?

Solution:

Let the cost of one adult's ticket be x  and

Let the cost of one child's ticket be y

Then

Three adults and four children must pay $ 79 be

3x + 4y = 79-----------------------------------------------(1)

Two adults and three children must pay $56

2x + 3y = 56----------------------------------------------(2)

multiply  eq(1) by 2, we get

6x + 8y = 158----------------------(3)

multiply  eq(2) by 3, we get

6x + 9y = 168----------------------(4)

Subracting (3) from (4)

 6x + 9y = 168

 6x + 8y = 158

(-)      (-)       (-)

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

0x +  y = 10

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

y=10

Now substitute the value of y in eq (1) to get the value of x

3x + 4(10)= 79

3x +  40 = 79

3x = 79 - 40

3x = 39

x = \frac{39}{3}

x= 13

3 0
3 years ago
Graph a line that contains the point -6,1 and has a slope of 5
Stells [14]

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

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31=b

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1

you can also graph a line on desmos

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Answer:

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Two vertical angles are formed. These angles are also equal to each other.
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A total of 15000 is invested at an annual percentage rate of 12.5%. Find the accumulated amount after 3 years if it is compounde
aleksklad [387]

Answer:

24542.26 is the final balance

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