Answer: x=0.6435011
Step-by-step explanation:
Take the inverse tangent of both sides of the equation to extract
x
from inside the tangent.
x
=
arctan
(
3
4
)
Evaluate
arctan
(
3
4
)
.
x
=
0.6435011
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from
π
to find the solution in the fourth quadrant.
x
=
(
3.14159265
)
+
0.6435011
Simplify the expression to find the second solution.
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x
=
3.78509376
Find the period.
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π
The period of the
tan
(
x
)
function is
π
so values will repeat every
π
radians in both directions.
x
=
0.6435011
+
π
n
,
3.78509376
+
π
n
, for any integer
n
Consolidate the answers.
x
=
0.6435011
+
π
n
, for any integer
n
Answer:
b
Step-by-step explanation:
Displacement and distance have different meanings. Displacement is a vector quantity and is the objects overall change in position. Distance is scalar quantity which describes how much ground an object covers during motion.
If they have covered 4 miles from a origin and we don't know the origin but we know that they start there and continue for 4 miles. It will be displacement if they started at a distance and walked a certain distance and the difference from start to finish is 4 miles. Therefore, it must be distance because we don't know the initial position and only that they walked 4 miles.
Mark is right if their starting point is a origin of a coordinate system
if the cube's side equals 2 then it would be 2 x 2 x 2 = 8 or you could say 2 to the 3rd power or 2 cubed
The radius of this circle is (B) 4.9 cm.
<h3>
To find the radius of the circle:</h3>
To solve this problem, we need to, first of all, convert the angle from radians to degrees.
data;
- length of an arc = 18cm
- angle = 7/6π rads
- π= 3.14

Length of an Arc:
The formula for the length of an arc is given:
θ/360 × 
Let's substitute the values and solve:

From the calculations above, the radius of this circle is 4.9cm.
Therefore, the radius of this circle is (B) 4.9 cm.
Know more about radius here:
brainly.com/question/24375372
#SPJ4
Complete question
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.
(A) 3.7 cm
(B) 4.9 cm
(C) 14.3 cm
(D) 15.4 cm
Answer:
2. x + 98 + 50 = 180
3. x = 32°
Step-by-step explanation:
<em>hey there,</em>
< 2. We know that there are 180 degrees in every triangle, and every triangle has only 3 angles. So when you add up those 3 angles, it will ALWAYS equal 180! And since we do not know one of the angles, we will just put the value of that angle as "x" into the equation.
3. Here, you should be able to find x! x = (180-(98+50)) = 32
The final answer is 32 degrees. >
<u>Hope this helped! Feel free to ask anything else.</u>