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DedPeter [7]
3 years ago
11

Re write tan(sin^-1(x)) as an algebraic expression

Mathematics
1 answer:
k0ka [10]3 years ago
5 0
Sketch a right triangle with base 1 and vertical leg = x. That is that angle whose tan is x. 

<span>Now compute the hypotenuse = √(x² + 1). </span>

<span>Read off the sine of the base angle (which is tan ˉ¹x) as x/√(x² + 1) </span>

<span>Done</span>
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Ganezh [65]

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3 years ago
A car starts with a speed of 20km/ hr and accelerates at a rate of 3.4 m/s for 20 seconds. What is the final speed of the car in
Schach [20]

The relevant formula that we can use in this situation is:

v = v0 + at

where v is the final velocity, v0 is the initial velocity = 20 km/hr, a is acceleration at 3.4 m/s^2 and t is time at 20 seconds

First convert v0 to m/s, v0 = 5.56 m/s

v = 5.56 m/s + 3.4 m/s^2 * 20 s

v = 73.56 m/s

Then convert back to km/hr:

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3 years ago
H(t)=-16(t-1)^2+16 <br> What is the maximum height the ball reaches and how long does it take?
Aleksandr-060686 [28]

Given t = time and h = height

h(t) =  - 16(t - 1)^{2}  + 16

From the equation.

y = a(x - h)^{2}  + k

h is the axis od symmetry

(h, k) is the vertex.

In the equation, h is 1 and k is 16.

So the maximum value is 16 at t = 1.

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4 0
3 years ago
Anyone answering the coordinates subtraction can get there 100 points here.
Sholpan [36]

Answer:

c = -6

d = 2

Step-by-step explanation:

After reflection about the x-axis:

A --> A'

(x,y) --> (x,-y)

(2,3) --> (2,-3)

(4,3) --> (4,-3)

(2,6) --> (2,-6)

After translation:

(2 + c, -6 + d) --> (-4, -4)

2+c = -4

c = -6

-6+d = -4

d = 2

3 0
3 years ago
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Which of the following values are in the range of the function graphed below?
slava [35]
The range is the output or the y values in the case of this function. The only y value on this function is 1 therefore the range is 1
5 0
3 years ago
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