Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57
Step-by-step explanation:
Triangle Area = .5 * base * height
48 = .5 * (x +4) * x
48 = (.5x + 2) * x
48 = .5x^2 + 2x
.5x^2 + 2x -48 = 0
x = 8
base = 12
STEP 1
Multiply total number of customers by percent who made a purchase.
= 950 customers * 82%
= 950 * 0.82
= 779 customers made a purchase
STEP 2
Subtract the number of customers who bought one and two items from the total number of customers who made a purchase.
= 779 - 538 - 186
= 55 customers purchased 3 or more items
ANSWER: 55 customers purchased 3 or more items.
Hope this helps! :)
Answer:
30 and 6
Explanation:
Let the numbers be x and y. Then
<span>x+y=36</span>
<span>x−y=24</span>
Adding the two equations together gives
<span>2x=60</span>
<span>∴x=30</span>
Substituting this back into either of the equations gives <span>y=<span>6</span></span>
Answer:
$4911.45
Step-by-step explanation:
To find Megan's average daily balance, we first need to assume that the billing cycle begins at January 1st.
Now we know that there are 31 days in the month of January, we will use that as our basis.
20 days x 4805 = First 20 days of the billing cycle.
11 days 4805 + 300 = 21st day of the billing cycle.
31 days in the month
So now we simply add the first 20 days and the days after the 21st day and divide it by the number of days in the month since we're looking for the average.
(20 x 4805 + 11(4805+300))/31
(20 x 4805 + 11(5105))/31
(96100 + 56155)/31
152255/31
This then gives us:
$4911.45
