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Firdavs [7]
2 years ago
6

Find the exact value of tan-1(1). (5 points)

Mathematics
2 answers:
zzz [600]2 years ago
6 0

Step-by-step explanation:

you can see that in log table

morpeh [17]2 years ago
6 0

Answer:

pi/4

Step-by-step explanation:

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At the ice cream parlor there are thirty flavors, but for the last week they have only had 25 flavors.
myrzilka [38]

Answer: Percent change = 20%

===========================================================

Work Shown:

A = old value = 25 (last week's number)

B = new value = 30 (current week's number)

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (30-25)/25 ] * 100%

C = [ 5/25 ] * 100%

C = 0.20* 100%

C = 20%

The percent change is 20%

The positive value of C indicates we have a percent increase.

8 0
3 years ago
I would really appreciate it if someone helped answer these 4 questions. I will rate 5 stars. Thank you (:
ELEN [110]

Answer:

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

Recall the three main trig functions

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

( remember hypotenuse = longest side length , opposite = side length opposite of angle , and adjacent = side length thats not the opposite or hypotenuse )

We will use these to solve each problem

7.

We are given :

  • An angle with a measure of 39 degrees
  • The angles opposite side length
  • The adjacent side as the unknown

When dealing with opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in opp = 11 and adj = x as well as given angle 39

tan(39) = 11/x

==> multiply both sides by x

xtan(39) = 11

divide both sides by tan(39)

x = 11/tan(39)

plugging this into a calculator , we get x = 13.6 ( rounded )

8.

We are given :

  • an angle with a measure of 46 degrees
  • the hypotenuse which has a length of 28
  • and the adjacent as the unknown

When dealing with adjacent and hypotenuse we use cos

We have cos = adj / hyp

==> plug in given angle 46 , adj = x and hyp = 28

cos(46) = x/28

==> multiply both sides by 28

x = 28cos(46)

plugging this into a calculator we get  x = 19.5 ( rounded )

9.

We are given :

  • an angle with a measure of 51 degrees
  • its opposite side length with a length of 8
  • the adjacent side length as the unknown

When dealing with the opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in 51 degrees for angle , opp = 8 and adj = x

tan(51) = 8/x

==> multiply both sides by x

xtan(51) = 8

==> divide both sides by tan(51)

x=8/tan51

plugging this into a calculator we get that x = 6.5 ( rounded )

10.

We are given:

  • an angle with a measure of 24 degrees
  • the hypotenuse which has a length of 31
  • the side length opposite of given angle as the unknown

When dealing with the opposite and hypotenuse we use sine

We have sin = opp / hyp

==> plug in angle as 24 , opp = x and hyp = 31

sin(24) = x / 31

==> multiply both sides by 31

31sin(24) = x

plugging this into a calculator we get that x = 12.6 ( rounded )

And we are done!

Let me know if you have any doubts in the comments ! : )

6 0
2 years ago
Greatest common factor of 24 and 76
Leto [7]
The GCF of 24 and 76 is 4.
4 0
3 years ago
Read 2 more answers
Solve the system using the substituion method<br> -4x+y=8<br> x-3y=9
lions [1.4K]
Hi there!

x - 3y = 9
x = 9 + 3y
 
-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4

x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21

So, your answers are y = -4 and x = 21.

Hope this helps!
3 0
3 years ago
Solve for x.<br> 3x/y-4z=12
Nat2105 [25]
X= 4y+4/3yz this is they solution
7 0
3 years ago
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