Answer:
in degrees: theta = 63.43°
in radians: theta = 1.11 rad
Step-by-step explanation:
To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.
Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:
atan(2) = 63.435°
So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.
Be sure to check in the calculator if the answer is given in degrees or radians.
In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)
Answer:
Option C. Step 3
Step-by-step explanation:
step 1
Identify the pre-image and the image: The pre-image is triangle XYZ, and the image is X'Y'Z'
The step 1 is correct
step 2
Identify the number of units that each point moves horizontally: Each point moves one unit left.
The step 2 is correct
step 3
Identify the number of units that each point moves vertically: Each point moves three units down
<u>The step 3 is not correct</u>
Each point moves three units up
step 4
The translation is one unit left and three units down
<u>the step 4 is not correct</u>
The translation is one unit left and three units up
therefore
The first error is in the Step 3
Answer:
1/2
Step-by-step explanation:
AC=18 and A'C'=9
AB(x)=A'B'
18(x)=9
x=9/18
x=1/2
The ways can the jazz band be selected so there are 2 trumpet players, 5 drummers, and 3 saxophonists is given below .
Step-by-step explanation:
Let's first do the math with only the trumpet,drummer and saxophonists player.
There are 4 Trumpet Player. There are 4 choices of trumpet players. Which means for each drummer, there are 4 groups of musicians:
T
1
D1S1
T
1
D2S2
and so on
So if there are 4 groups of musicians for each Trumpet ,12 drummer and there are 7 saxophonists , we get 12 groups.
It would be the product of
4T2, 12D5 and 7S3
That is 6*792*35=166,320
Answer:
d = 4.90
Step-by-step explanation:
Given the following data;
F = 9
d = 4
For an inversely proportional relationship, we have;
F = k/d²
Now, we would find the constant, k;
9 = k/4²
k = 9*16
k = 144
Next, to find d, when F = 6
d² = k/F
d² = 144/6
d² = 24
Taking the square root of both sides, we have;
d = 4.90
