One way is to find the prime factorization for the denominators which are 3 and 4. The prime factorization of 3 would be 1 x 3 and 4 would be 2 x 2. Since we only use prime numbers to find the prime factorization we would have 2 x 2 x 3 = 12 which give us the the least common denominator for 2/3 and 3/4. Final answer is 12.
Answer:
77 m (nearest metre)
Step-by-step explanation:
<u>Angle of Elevation</u>
If a person stands at a point and looks up at an object, the angle between their <u>horizontal line of sight</u> and the <u>object</u> is called the angle of elevation.
To find how tall the flagpole is, model as a right triangle and solve using the tan trigonometric ratio.
<u>Tan trigonometric ratio</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given information:
- Person height = 1.6 m
- Horizontal distance (from person to flagpole) = 35 m
- Angle of elevation = 65°
Therefore:
= 65°- O = height of flagpole <u>less</u> height of person
- A = 35 m
As the person is 1.6 m tall, we model the line of sight as 1.6 m <u>above ground level</u>. Therefore, when calculating the height of the flagpole, we will need to add the height of the person to the value found using the trig ratio.
Substitute the given values into the formula and solve for O:


Therefore the height of the flagpole is:


Learn more about Angles of Elevation here:
brainly.com/question/27933160
Answer:
B 84
Step-by-step explanation:
Angle COB = 96 (Angle CDB x2)
Lets split Quadrileteral ABOC into 2 equal parts.
Angle ABO = 90 (tangent segment of circle)
Angle AOB = 96/2 = 48
Angle OAB = 180 - 90 - 48 = 42
Angle A = Angle OAB x 2 = 42 x 2 = 84
Therefore Answer is B.
(0,4)
The y intercept is the point that is on the line that is going up and down, the y axis, the x axis goes from left to right.
Remember the axis's by this, y is long and tall, so its axis would be going up and down, x is shorter, so its axis would be going left to right
Answer:
15. 15x4=60
Step-by-step explanation: