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myrzilka [38]
3 years ago
8

Your turn: Use the triangle given. What is the value of sin Θ?

Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0
You can eliminate D right away. The sine is NEVER greater than one. That's because the denominator of the fraction is always the hypotenuse. 

The definition of the sine is 
Sin(x) = Opposite / hypotenuse.
Sin(x) = 10/26 = 5/13 The fraction reduces.

The answer is B
Done.
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Alja [10]

Answer:

It is in the simplest form and cannot be simplified.

Step-by-step explanation:

8 0
3 years ago
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Find the probability that the pitcher will throw exactly 4 pitches to a batter.
Rudiy27

Answer:

well if we are going by pattern them possibly 20 or 30 im sorry if its wrong i just need more info on how i should answer it

Step-by-step explanation:

7 0
3 years ago
Please help with this question
svetlana [45]

Answer:

Segment JK is a chord in circle H

Line LM is a secant to circle H

Step-by-step explanation:

* Lets revise some definition in the circle

- The radius of the circle is a line segment drawn from the center of  

 the circle to a point on the circumference of the circle

- The chord of a circle is a line segment whose endpoints lie on the

 circumference of the circle

- The secant is a line intersect the circle in two points

- The tangent is a line touch or intersect the circle in one point

* Now lets solve the problem

- In circle H

∵ JK is a segment in circle H

∵ Point J lies on the circumference of circle H

∵ Point K lies on the circumference of circle H

∴ Segment JK is a chord in circle H

∵ LM is a line

∵ LM intersect circle H in two points L and M

∴ Line LM is a secant to circle H

4 0
3 years ago
The functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first
sertanlavr [38]

Answer:

13/9

y =-22x+32

Step-by-step explanation:

Given that the functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first derivatives at selected values of x.

x f(x) f'(x) g(x) g'(x)

1 4 -3 5 2

2 -3 -1 4 6

3 π 8 -1 4

4 -5 unknown 0 3

a) h(x) = \frac{f(x)}{g(x)} \\h'(x) = \frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}

(using quotient rule)

Substitute 1 for x

h'(1) = \frac{g(1)f'(1)-f(1)g'(1)}{(g(1))^2}\\=\frac{9-(-4)}{9} \\=\frac{13}{9}

b) r(x) = f(x) g(x)\\r'(x) = f(x) g'(x)+g(x)f'(x)

when x =2, r(x) = r(2) = f(2) g(2) = -12

point of contact is (2,-12)

Slope of tangent =r'(2) = f(2) g'(2)+g(2)f'(2)\\=-18+(-4) \\=-22

Using point slope form, tangent is

y+12 = -22(x-2)\\y = -22x +32

7 0
4 years ago
Given x varies inversely with y and xy = 2, what is the value of x when y = 1?
elena-s [515]

Answer: x=2

Step-by-step explanation:

The equation for inverse variation is:

x=\frac{k}{y}

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If you solve for for the constant "k", you get the form:

k=xy

So, if xy=2 then k=2

Knowing the value of "k", you can find the value of "x" when y=1, by substituting these values into the equation x=\frac{k}{y}.

Therefore, you get that the value of "x" when y=1 is:

x=\frac{2}{1}\\\\x=2

7 0
3 years ago
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