Answer:
(A) 6%
(B) 57%
(C) 357%
(D) 100%
Step-by-step explanation:
(A) 6 / 100 = 6%
(B) 57 / 100 = 57%
(C) 357 / 100 = 357%
(D) 100 / 100 = 100%
Given data
<span>sin (x+pi/2)=cos x
</span>now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that
<span>sin (x+pi/2)=cos x</span>
Answer:
<em>The probability that it is grape juice, given that the juice is not sugar free is </em><em>0.769 or 76.9%</em>
Step-by-step explanation:

A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.
Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.
Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,


Putting the values,

Answer:
cos beta = 3 /5 ............
All isosceles trapezoids have congruent base angles.
Option A
<u>Explanation:</u>
An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.
Properties of isosceles trapezoid:
- Opposite sides of an isosceles trapezoid are the same length (congruent).
- The angles on either side of the bases are the same size/measure (congruent).
- The bases (both top and bottom) of an isosceles trapezoid are parallel.
Note: Refer the attached file for the image of an isosceles trapezoid.
All isosceles trapezoids come into the category of trapezoids but all trapezoids cannot be marked as isosceles. Clearly, if a trapezoid has congruent legs, it is an isosceles trapezoid.
If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent.
In the case of quadrilaterals, if the quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent.