Answer: B
Step-by-step explanation:
∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.
Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.
Answer:
the answer is B
Step-by-step explanation:
everything is in the paper
Answer:
a) There are 8 possible combinations and each probability is 1/8.
b) The probability that it is a boy given that there are two girls is 3/8
Step-by-step explanation:
a) The sample space is given by:
BBB (3 boys)
BBG (Boy, boy, girl)
BGB (Boy, girl, boy)
BGG (Boy, girl, girl)
GBB (girl, boy, boy)
GBG (girl, boy, girl)
GGB (girl, girl, boy)
GGG (3 girls)
The probability of each combination is the same:
P(BBB)=P(B∩B∩B)=
2) There are three possible combinations in which there are 2 girls and 1 boy:
BGG, GBG, GGB
So the probability is given by:
P(BGG ∪ GBG ∪ GGB)=
Answer:
26.3 m
Step-by-step explanation:
The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the height of the building.
We solve the above question using Pythagoras theorem
c² = a² + b²
Where
c = Longest part of the triangle = 37 m
a = Height of the triangle = ?
b = Length of the shadow = 26 m
Hence:
37² = a² + 26²
a² = 37² - 26²
a = √37² - 26²
a = √(693)
a = 26.324893162m
Approximately = 26.3 m
