The diagram of the kite is shown below
To find the perpendicular height of the kite from the ground, we use the trigonometry ratio for sin(x).
The reason for using the sine ratio is because we have the hypotenuse, 80 feet, and the angle, 40° and we are looking for the length of the side opposite the angle.




rounded to two decimal place
Perpendicular height of the kite from the ground is 51.42 feet
Given:
Each big square represents one whole.
To find:
The percent represented by the shaded area.
Solution:
One big square have 100 small square.
Shaded part of first big square = 100
Fraction of shaded part of first big square = 
Shaded part of second big square = 19
Fraction of shaded part of second big square = 
Fraction of total shaded area:



Percent of shaded area:

= 119%
The shaded area is 119%.
make the equation slope-intercept form:
subtract 2x from both sides:
4y = -2x + 12
divide by 4 to get y by itself:
y = -1/2x + 3
to make the new line perpendicular to the existing line, completely flip the slope of the line:
y = 2x + 3
Answer:
The number of miles/the number of hours
Step-by-step explanation:
If the number of hours is not equal to 1, multiply the numerator and denominator by the inverse of the number of hours.
For example, 10 (miles)/2 (hours)
The inverse of 2 is 1/2, so --> the new equation is 10/2 * 1/2 / 1/2 or
10* 1/2 and 2 * 1/2
When multiplied out, this leads to 5/1 or 5 miles per hour
Answer:
Change per week: $20
Starting amount of money: $550
Step-by-step explanation:
<u>Given equation</u>:

where:
- x = number of weeks
- y = total account balance
<u>Change per week</u>
As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.
Therefore, the change per week in the amount of money in the account is $20.
<u>Initial Balance</u>
The starting amount of money in the account (initial balance) will be the value of y when x = 0:

Therefore, the starting amount of money in the account is $550.