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san4es73 [151]
3 years ago
15

Assume a gasoline price of $3.55 per gallon. What is the gasoline cost for a 2000 mile trip if you drive at an average speed of

50 miles per hour? What is the gasoline cost at 68 miles per hour?
Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

The driving time at 54 miles per hour is 37.04 hours.

Step-by-step explanation:

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Gemiola [76]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

Let's find the measure of hypotenuse first, by using Pythagoras theorem ;

\qquad \sf  \dashrightarrow \: h {}^{2}  =  {8}^{2}  +  {6}^{2}

\qquad \sf  \dashrightarrow \: h {}^{2}  =  {36}^{}  +  {64}^{}

\qquad \sf  \dashrightarrow \: h {}^{2}  = 100

\qquad \sf  \dashrightarrow \: h {}^{}  =  \sqrt{100}

\qquad \sf  \dashrightarrow \: h {}^{}  =  {10}

Now, let's find the asked values ~

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{opposite \: side}{hypotenuse}

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{6}{10}

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{3}{5}   \: or \: 0.6 \: units

For Cos y :

\qquad \sf  \dashrightarrow \:  \cos(y) =  \dfrac{adjcant \: side}{hypotenuse}

\qquad \sf  \dashrightarrow \:  \cos(y)   = \dfrac{6}{10}

\qquad \sf  \dashrightarrow \:  \cos(y)   = \dfrac{3}{5}  \: or \: 0.6 \: units

As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.

I.e Sin x = Cos y

Hope it helps ~

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3 years ago
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Furkat [3]

Answer:

20) 2/32 so colour 2 boxes

21) 7/16

22) 2/60

23) 3/8

24) 35/63 or 5/9

25) 7/32

26) 45/60 or 9/12 or 3/4

27) 1/32

28) 3/21 or 1/7

29) 13/6 × 9/2

= 117/12

30) 3/4 × 17/2

= 51/8

31) 9/8 × 10/3

= 90/24

= 45/12

= 15/4

32) 16/5 × 2/3

= 32/15

sorry if theres any calculation mistake becoz i did all the calculations in mind

Step-by-step explanation:

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Are the following lines parallel, perpendicular, or neither: y=-x+6 and y=x+1
Artist 52 [7]

Answer:

The following lines is perpendicular, y=-x+6 and y=x+1

Step-by-step explanation:

  • Slope of parallel lines are equal

(ex. slope of 2 stays 2 )

  • Slope of perpendicular lines to another is the negative reciprocal

(ex. slope of 2 becomes -1/2)

y = -x + 6 and y = x + 1

the slope for y = -x + 6 is <em>-1    (-1/1)</em>

the slope for y = x + 1 is <em>1</em>

the slope -1 is the negative reciprocal of 1

hence, the definition of perpendicular fits the given

Learn more about Perpendicular and Parallel Lines here: brainly.com/question/1202004

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