Answer:
58
Step-by-step explanation:
PEMDAS
There are 5 possibilities, and they are// H,H,H,H - H,H,H,T - H,H,T,T - H,T,T,T - T,T,T,T//
Answer:
The correct option is C) 210.
Step-by-step explanation:
Consider the provided information.
The analyst has narrowed down the list of potential stocks to 7. She choose and rank her top 3 picks.
Since the order matter so we will use permutation.
The formula for permutation is: ![^{n}P_{r}=\frac{n!}{(n-r)!}](https://tex.z-dn.net/?f=%5E%7Bn%7DP_%7Br%7D%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D)
Substitute n=7 and r=3 in above formula.
![^{7}P_{3}=\frac{7!}{(7-3)!}](https://tex.z-dn.net/?f=%5E%7B7%7DP_%7B3%7D%3D%5Cfrac%7B7%21%7D%7B%287-3%29%21%7D)
![^{7}P_{3}=\frac{7!}{4!}](https://tex.z-dn.net/?f=%5E%7B7%7DP_%7B3%7D%3D%5Cfrac%7B7%21%7D%7B4%21%7D)
![^{7}P_{3}=210](https://tex.z-dn.net/?f=%5E%7B7%7DP_%7B3%7D%3D210)
Hence, the correct option is C) 210.
Answer:
109.3 yard²
Step-by-step explanation:
Area of triangle = bh / 2
base is 23yd
height is 9.5yd
bh / 2 = 23 × 9.5 / 2
Area = 218.5 / 2
Area = 109.25 yd²; rounded to the nearest tenth is 109.3yd²
Answer:
The correct option is;
Angle Addition Postulate;
Step-by-step explanation:
The given two column proof can be presented as follows;
Statement
Reason
1. ∠PQR is a right angle
Given
2. m∠PQR = 90°
Definition of Right Angle
3. m∠PQS + m∠SQR = m∠PQR
Angle Addition Postulate
4. m∠PQS + m∠SQR = 90°
Substitution property of equality
5. ∠PQS and ∠SQR are complementary Definition of complementary angles
Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;
m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;
m∠PQR = m∠PQS + m∠SQR = 90°.