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Answer:
The ladder is 28.6 feet long.
Step-by-step explanation:
Given that:
Length of base = 17 feet
Length above the ground = 23 feet
These forms two legs of right angled triangle.
The length of ladder will be the hypotenuse.
Using Pythagorean theorem;

Taking square root on both sides

Hence,
The ladder is 28.6 feet long.
Answer:
25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
Given:
- The principal amount that Amy opened her savings account with is $1750.
- The rate of simple interest compounded annually is 4.3%.
- The time period for which we calculate the new balance is 6 months.
To Find:
The balance after 6 months.
Answer:
The balance after 6 months will be $1787.625
Step-by-step explanation:
The principal amount that Amy opened her savings account with is $1750. We can denote this by P.
The rate of simple interest compounded annually is 4.3% which we may denote by R.
The time period for which we calculate the new balance is 6 months which can be written as 0.5 years (since the rate of interest is compounded annually, we must consider the time period in terms of years).
The amount of money accrued from the interest can be calculated by the formula

Putting in the values given in the question, we have

The amount in the bank account will be the principal amount plus the amount of interest accrued that we have calculated above.
Thus, the balance after 6 months will be 1750 + 37.625 = $1787.625.
Answer:
The total sales of Boutique last week = $1300
Step-by-step explanation:
Given that:
Percent of sales came from leggings = 30%
Worth of leggings sold = $390
Let,
x be the total sales in the week.
30% of x = 390

0.3x = 390
Dividing both sides by 0.3

Hence,
The total sales of Boutique last week = $1300