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PIT_PIT [208]
3 years ago
10

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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What is the degree of an angle in a regular heptagon
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Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM. Over the l
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6 0
3 years ago
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A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 wi
Elza [17]

Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. X_1+X_2+X_3+X_4=1

b. X_1+X_2+X_3+X_4\leq 1

c. X_1+X_2+X_3+X_4\geq 1

d. X_1+X_2+X_3+X_4\geq 0

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

X_1+X_2+X_3+X_4=1

Therefore, the correct option is (a).

8 0
3 years ago
Find the slope of the line connecting the point (4,8) to the point (8,12)
Katen [24]

Answer: 8/8

Step-by-step explanation:

6 0
3 years ago
The point (21,32) is on a line with slope 1.5.
Oxana [17]
We can use the equation: y=mx+b
x represents the x-value, y represents the y-value, m represents slope, and b represent the y-intercept.

We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
So b = 0.5

Now we know our equation is y = 1.5x + 0.5

We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
So y =8 and our point is (5,8)
7 0
3 years ago
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