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Rzqust [24]
2 years ago
14

Which is equivalent to sin^-1(tan(pi/4)) ? Give your answer in radians.

Mathematics
2 answers:
aleksklad [387]2 years ago
6 0
We are to find the value of sin^{-1}(tan( \frac{ \pi }{4}))

First we evaluate tan(π/4). The value of tan(π/4) is 1. 

So, 

sin^{-1}(tan( \frac{ \pi }{4})) =sin^{-1} (1)

sin(π/2) = 1
So,
sin^{-1}(1)= \frac{ \pi }{2}

Thus, we can write:

sin^{-1}(tan( \frac{ \pi }{4}))= \frac{ \pi }{2} radians.

So, the answer to this question is π/2 radians.
Leokris [45]2 years ago
6 0

Answer:

the answer is b

Step-by-step explanation:


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Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her
Maru [420]

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50                          change the % to a fraction

125/100 * x = 65.50                             Multiply both sides by 100/125  

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50                             Multiply by 100

x = 6550 / 125                                     Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal =                                               52.40

Total                                                  65.50  Just as it should

8 0
3 years ago
Jean throws a ball with an initial velocity of 64 feet per second from a height of 3 feet. Write an equation and answer the ques
Korvikt [17]

Answer:

Step-by-step explanation:

From what I understand about parabolic motion in the English system, the equation for flight is

s(t)=-16t^2+v_{0}t+h_{0}

where v_{0}t is the initial upwards velocity and

h_{0} is the initial height from which the object was launched.  Filling in that equation with those values gives you

s(t)=-16t^2+64t+3.  That's a.

In order to determine how long it will take the ball (or rocket...the problem is mixing up the 2) to reach its max height you need to put the equation into vertex form, since the vertex of a parabola is the absolute max (or min depending upon the parabola) of the function.  The absolute max is the heighest that the ball will go.  Completing the square is the way to solve this.  Begin by setting the equation equal to 0, the moving the 3 over by subtraction:

-16t^2+64t=-3

Now factor out the -16 since the leading coefficient HAS to be a positive 1:

-16(t^2-4t)=-3

Now take half the linear term (half of 4t which is 2), square it (4) and add it into the parenthesis:

-16(t^2-4t+4)=-3

BUT since you added in a 4*-16 on the left you have to add it in on the right:

-16t^2(t^2-4t+4)=-3-64

which simplifies to

-16(t-2)^2=-67

Now bring the 67 over by addition and you have your vertex:

s(t)=-16(t-2)^2+67.

The vertex is (2, 67).  The 2 stands for time, so 2 seconds, and the 67 stands for feet, so at 2 seconds the max height is 67 feet.

How long it will be in the air is found by factoring to find the zeros.  These can be found by plugging the quadratic into the quadratic formula and getting that the zeros are -0.046 and 4.046

So the quadratic starts a tiny tiny bit to the left of the origin, but for all intents and purposes we can say it starts at the origin (x = 0) and ends at

x = 4.05 seconds.  Which makes sense if you know anything about parabolic motion and physics.  The vertex indicates not only the time and the max height at that time, it also is indicative of the halfway mark.  Meaning that if it takes 2 seconds to reach its max height, it will hit the ground at 4 seconds.  And 4.05 is close enought to 4 (but since you were told to round to the nearest hundredth, that .05 matters).  Sorry it's so long, but it's not a question that can be answered with just a few sentences.

5 0
3 years ago
Which equation is related to x+23=9x+23=9?. a. x−9=23x-9=23 b.x=923x=923 c.x+9=23x+9=23 d. x=813
atroni [7]
I think it's a  although I can't really tell.
7 0
3 years ago
Read 2 more answers
Help ._. .-. please...........................
Tasya [4]
<span>2x+38=180 since all triangles add up to 180 and we have 38 as a degree we have to find the value of

2x=180-38

2x=142

x=142÷2

x=71</span>
3 0
3 years ago
Where will these 2 lines intersect?<br><br> y = 2x + 7 and x = y + 4
defon
To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4

Now we can say
2x + 7 = x - 4

Now solve for x

X= 3

Now fill this in in either one of the formulas

Y= 2 (3) + 7
Y= 13

So they’ll intersect at (3,13)
5 0
2 years ago
Read 2 more answers
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