The angle at the center of the circle is twice the angle at the circumference.
<h3>What is Circle Theorem?</h3>
The angle in a semicircle is a right angle. Angles that are in the same segment are equal.
As by theorem,
angle in a semicircle is a right angle. Angles that are in the same segment are equal.
Also, opposite angle in a cyclic quadrilateral sums to 180° and the angle between the chord and tangent is also equal to the angle in the alternate segment.
Learn more about circles here:
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Answer: 2
Step-by-step explanation: five times 2 is 10 plus 10 would equal 20
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.
Tap for more steps...
x
=
3.78509376
Find the period.
Tap for more steps...
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
The <em><u>correct answer</u></em> is:
At least 7 times.
Explanation:
Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.
After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):
To solve this, we will use logarithms:
Answer:
267.95 inches cubed
Step-by-step explanation:
