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Marat540 [252]
3 years ago
7

Find sin θ Right Triangle Trigonometry

Mathematics
2 answers:
arlik [135]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA

We are given the opposite side and the agacent side

Therefore we use TOA

tan(x)= 15/8

tan^-1(15/8)=  61.93

sin(61.93)=  15/17

Hope this Helped :)

creativ13 [48]3 years ago
3 0

Answer:

15/17

Step-by-step explanation:

15^2+8^2=c^2

c=hypotenuse. Sin is opposite side/hypotenuse

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Prove Forall x elementof Z, x^2 - 5x - 1 is odd.
Diano4ka-milaya [45]

Answer with Step-by-step explanation:

Let Z be a set of integers

We have to prove that x^2-5x-1 is odd for all value of x \inZ.

There are two cases

1.When x is an odd integer number

2.when x is even integer number

1.When x is an odd integer  number

When x is positive odd integer

Then x^2  is positive odd number (because square of odd positive number is always positive an odd number )

5x is also odd number

-5x -1 = -even number

Suppose x=3

Then -15-1=-16

Odd number - even number=Odd number

Hence ,x^2-5x-1 is an odd number .

When x is negative odd number

Then  x square is positive odd number  and 5x is negative odd term term

Therefore,odd number + odd number -1=Even  number -1=Odd number

Hence x^2-5x-1 is an odd number.

2.When  x is an even number

When x is positive even number

x square is positive even number  and 5x is positive even number

Even number -Even number -1 =Even number -odd number =Odd number

Suppose x=4

x^2-5x-1=16-20-1=-5=Odd number

When x is negative even number

Then x square is positive even number  and 5x is negative even number

x^2-5x-1=Even number +Even number -1=Even number -1=Odd number

Hence, for all elements of Zx^2-5x-1is odd.

7 0
3 years ago
In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1) ? Enter your answer
stiks02 [169]
The distance between two points knowing theirs coordinates:

AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(5,-4) & B(-3,-1) Given
                                                A(x₁,y₁) & B(x₂,y₂)

AB =√[(-3-5))²+(-1-(-4)²] =√(73) = 8.381 ≈ 5.44 units
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mina [271]
-10 and 8 multiply them to equal 80 but if there both negative it will be a positive 80 because if you multiply 2 negatives its postive hope this helps
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3 years ago
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A circular garden is enlarged so that the new diameter is twice the old diameter. What is the ratio of the original area to the
Amanda [17]

Answer:

  • Explained briefly below.

Step-by-step explanation:

<u>For old circular garden:</u>

take the radius as r.

then use the formula to find area of circle: πr² ......this is old garden area.

<u>For new enlarged garden:</u>

the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius

now find area for this new garden:  π(2r)² → 4πr²

In common fractions: (old garden)/(new garden)

                                : ( πr² ) / ( 4πr² )

                                 :    1/4

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Answer:

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Step-by-step explanation:

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