Answer:
4004
Step-by-step explanation:
The number of combinations of choosing r objects from a group of n is nCr.
So the number of ways to get 7, 8, 9, or 10 heads from 13 coin tosses is:
₁₃C₇ + ₁₃C₈ + ₁₃C₉ + ₁₃C₁₀
= 1716 + 1287 + 715 + 286
= 4004
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
Answer:x
+
4
Explanation:
Product is the answer to a multiplication.
The multiplicative inverse is the same as the reciprocal.
(
5
x
+
20
)
×
1
5
=
5
x
+
20
5
=
x
+
4
Step-by-step explanation:
