Answer:
1 11/24
Step-by-step explanation:
Lets convert the fractions into similars. x/8 and x/6 they have 24 in common so its 9/24 and 20/24. Now it is 1 20/24 - 9/24 The answer therefore is 1 11/24
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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:
w = 10
Step-by-step explanation:
First we take the two values for the breadth of the rectangle
So:
5x - 9 = 3x + 7
now we solve this equation as follows:
5x - 3x = 9 + 7
2x = 16
x = 8
now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.
when we substitute x in any of these equations, we get
5(8) - 9 = 31
3(8) + 7 = 31
now that we have the value for the breadth we can form the following equation:
31 × w = 310
31w = 310
w = 310/31 = 10
Answer:
57.14%
Step-by-step explanation:
So if he removes an orange ball from the bag, that means there are 8 white golf balls and 6 orange golf balls - 14 balls in total
8 balls of the 14 are white, so to find the percent we can set up a proportion
8/14=x/100
you can simplify 8/14 to 4/7
4/7=x/100
cross multiply
7x=400
divide by 7 on both sides
x=57.14%