Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is
On further simplification, we get
Therefore, the length of the required fencing is 74.3 yards.
Answer:
After one unit is sold, Becky will break-even.
Step-by-step explanation:
Giving the following information:
Fixed costs= $1
Unitary variable cost= $21
Selling price= $22
<u>The break-even point is the number of units required to cover the fixed costs after deducting from the selling price the variable components. At this point, net income is zero</u>.
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 1 / (22 - 21)
Break-even point in units= 1
After one unit is sold, Becky will break-even.
Answer:
New price of the ball after discount = $16.65
Step-by-step explanation:
Selling price of the soccer ball = $45
Discount labeled on the ball = 63% off
Therefore, selling price after the discount = Original selling price - %discount
= $45 - (63% of $45)
= $45 - $28.35
= $16.65
New price of the ball after discount = $16.65
Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) = 
thus,
Therefore, applying the above property, we get
⇒ 
(here log = log base 10)
now,
3125 = 5⁵
thus,
⇒ 
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒ 
or
⇒ 5
Hence,
log₅(3125) = 5
Dividing 2 into 4 you would get 2 and dividing it into 9 you would get 4 since you can't divide it into 9 so when you subtract that (9-8) you would get 1 you place a decimal and bring down a zero to get 10 then you would get 5 the answer would be 248.5
