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3 years ago

In a right triangle, if sin 0 = 8/17 what is cos 0 explain?

Mathematics

1 answer:

Oliga [24]3 years ago

3 0

Answer:

We have sin² x + cos² x =1 for all real x.

Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².

However, remember that if x² = a², then x can be +a or –a.

Therefore, sin x can be either –15/17 or +15/17.

Everyone but Anirban so far has forgotten the negative solution.

Step-by-step explanation:

Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.

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If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)

kolezko [41]

Answer:

a) $(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

$(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

6 0

3 years ago

How can u tell <br> Whether 1080 is cube number

dolphi86 [110]

TSplit into prime factors

1080 = 2*2*2*3*3*3*5

Its not a cube because although there are 2 triplicates there is also a 5.

Note 2*2*2*3*3*3 is a cube.

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4 years ago

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Picture with question. Math

shtirl [24]

Answer:

The first four terms in the sequence 57, 50, 43, and 36

Step-by-step explanation:

Put the numbers in place of x (or n in this case).

You subtract that number you put in place of n by 1.

You then distribute the difference of n and 1.

You then subtract the distributed number by 57

7 0

3 years ago

A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?

drek231 [11]

369
Step-by-step explanation:
Arc length=(π*diameter)*(angle/360°)
88π=π*diameter*80°/360°
diameter=369

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3 years ago

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Solve for the missing item in the following. (Do not round intermediate calculations. Round your answer to the nearest whole per

Serga [27]

Answer:

The answer is $0.36

Step-by-step explanation:

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2 years ago