Answer:
Second option
Step-by-step explanation:
(16/36) × (x⁴/x^-2) × (y^-3/y) × (z⁴/z⁰)
= (4/9) × (x^4+2) × (1/y^3+1) × (z⁴/1)
= (4/9) × x⁶ × 1/y⁴ × z⁴
= [4x⁶z⁴]/(9y⁴)
= 4x⁶z⁴ ÷ 9y⁴
Answer:
The region between a chord and either of its arcs is called a segment the circle.
Angles in the same segment of a circle are equal.
Step-by-step explanation:
Let bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F .
Now from figure,
∠D = ∠EDF
∠D = ∠EDA + ∠ADF
Since ∠EDA and ∠EBA are the angles in the same segment of the circle.
So ∠EDA = ∠EBA
Hence ∠D = ∠EBA + ∠FCA
Again ∠ADF and ∠FCA are the angles in the same segment of the circle.
hence ∠ADF = ∠FCA
Again since BE is the internal bisector of ∠B and CF is the internal bisector of ∠C
So ∠D = ∠B/2 + ∠C/2
Similarly
∠E = ∠C/2 + ∠A/2
and
∠F = ∠A/2 + ∠B/2
Now ∠D = ∠B/2 + ∠C/2
=∠D = (180 - ∠A)/2
(∠A + ∠B + ∠C = 180)
∠D = 90 - ∠A/2
∠E = (180 - ∠B)/2
∠E = 90 - ∠B/2
and ∠F = (180 - ∠C)/2
∠F = 90 - ∠C/2
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Answer:
28
Step-by-step explanation:
54-26=28.
I’m not sure if this is right but I believe it’s 8r+7j