Answer:
The answer to your question is 43 ft
Step-by-step explanation:
Data
angle = Ф = 35°
length = 75 ft
height = ?
Process
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.
sin Ф = Height / length
-Solve for height
height = length x sin Ф
-Substitution
height = 75 x sin 35
-Simplification
height = 75 x 0.574
-Result
height = 43 ft
876,543
7 is <span>tens of thousands.</span>
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.
Answer:
New coordinates for A - (2, -5)
New coordinates for B - (5, -3)
Step-by-step explanation:
When translating a point to the 7 units right, you must add 7 to the x coordinate. When translating a point 8 units down you must subtract 8 from the y coordinate.
Answer:
Step-by-step explanation: