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Stells [14]
3 years ago
15

Can anyone help me with this math problem? Thank you.

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

Step-by-step explanation:

\tan( \alpha )  =  \frac{ \sin( \alpha ) }{ \cos( \alpha ) }

Also, since Left hand side is equal to right hand side

hence, this is an identity !!

[ Refer to the attached file ]

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the first 50 miles of the drive is easy, while the last 68 miles of the drive is filled with curves. they drive at an average of
gavmur [86]
For first 50 miles:-
x + 9  = 50 / t       where x is average speed for the last 68 miles and t = time taken for the first 50 miles.

For the second 68 miles:-
x =  68 / (3 - t) 

Substitute for x in first equation:-
68 / (3 - t) + 9 = 50/t
68t + 9t(3 - t) = 50(3 - t)
68t + 27t - 9t^2 = 150 - 50t
9t^2 - 145t  + 150 = 0
t = 1.111 , 15  (ignore the 15 hours as total time = 3).
so the speed for the first 50 miles = 50 / 1.111 =  45 miles per hour Answer


8 0
4 years ago
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Evaluate: sin (225degree)
PtichkaEL [24]
Sin(225)

225 degrees is in the 3rd quadrant.  And in the third quadrant only tangent is positive,  sin is negative.

For third quadrant, basic angle = 225 - 180 = 45

sin225 = - sin45

sin225 = - sin45 = -0.7071

sin 225° ≈ -0.7071 
7 0
3 years ago
You need exactly 47 bottles of water. You don’t want to buy more than you need, but you want the least expensive way. List the b
Alisiya [41]
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4 0
3 years ago
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28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative chan
yaroslaw [1]

A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.

Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,

Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%

Hence, the relative change from last year to this year is 3.7%.

Learn more about Percentages:

brainly.com/question/6972121

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8 0
2 years ago
What is the solution to the equation squareroot 4t+5=3
zubka84 [21]

Answer:

Step-by-step explanation:

√(4t+5) = 3

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4t = 4

t = 1

8 0
2 years ago
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