Answer: 
Step-by-step explanation:
Given : The total number of cards in a deck = 52
Number of red cards = 26
There are two types of red cards : diamond and heart.
Number of diamond cards = 13
The probability that the first card is a diamond :-
Since diamond is also a red card.
Now, the total cards left = 51
The number of red cards left = 12
The probability that the second card is a red card (without repetition) is given by :-
Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-
Answer:
Angle A is 77°
x = 3
AC = 13
Step-by-step explanation:
Angles A, B and C MUST add up to 180°. If Angle C is 26°, then the sum of A and B and 26° = 180°. In other words, A+B = 180° - 26° = 154.
Since A and B are equal, A = B = 154°/2 = 77°
Since this triangle is isosceles, sides AC and BC are equal. Thus,
7x - 8 = 3x + 4, or
4x = 12. Then x = 3.
Since AC = 7x - 8, and x = 3, AC = 7(3) - 8 = 21 - 8 = 13
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The principal value of sin⁻¹(1) is 90°.
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The principal value of sin⁻¹(1) is,
θ = Sin⁻¹(1)
θ = 90°
Hence, the principal value of sin⁻¹(1) is 90°.
Learn more about Sine:
brainly.com/question/21286835
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