Answer:

Step-by-step explanation:
From the question we are told that:
Height 
Angle of depression 
Angle of Elevation 
Generally the equation for the vertical distance between Emery's distance x and the bottom of the building is mathematically given by
Since the angle of depression and elevation are given as
27 and 23 respectively
Therefore
Emery's view of the 42 ft building is


Therefore Emery's distance x to the base of the building h' is


Generally the Trigonometric equation for Emery's distance x is mathematically given by



There are 2 red marbles and 3 blue marbles, with a total of 5 marbles in the bag.
When Jonathan chooses a marble, we are saying that he is choosing the marble randomly.
Let's make a fraction. We want to know the chance of picking one of the 2 red marbles among all 5 marbles.
Divide 2 by 5
2/5
That's already a simplified fraction. If you want to convert this into decimal and into percentage, you would get
2/5
= 0.4
= 40%
Those are all acceptable answers.
Have an awesome day! :)
Answer: 
Step-by-step explanation:
Given: Sybil has 1/2 of a pizza left over.
If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get
The fraction of the original pizza will Sybil and her 3 friends each receive

Answer:
The correct answers are Blue:
square units
; Green:
square units; and Yes the sum converges.
Step-by-step explanation:
Area of the largest triangle is 1 square unit.
The area of the triangle which are colored and follow a geometric sequence with the common ratio being
.
Area of the not shaded triangle is given by 1 square unit.
Area of the orange triangle is given by 1 ×
=
square units.
Area of the blue triangle is given by
×
=
square units.
Area of the green triangle is given by
×
=
square units.
If the pattern continues definitely then it becomes an infinite geometric progression series with common ratio
. And thus the sum of area coverges as the ratio lies between -1 and 1.
Answer:
The answer should be A, let me know if that's wrong.
Step-by-step explanation: