Answer:
6sqrt(2)
Step-by-step explanation:
You need to use the Right Triangle Altitude Theorem.
There are two parts to this theorem.
Here is the part you need for this problem.
If the altitude is drawn to the hypotenuse of a right triangle, the length of each leg of the right triangle is the geometric mean of the segment of the hypotenuse adjacent to the leg and the entire hypotenuse.
In this case, you end up with this proportion:
Length of leg: z
Length of entire hypotenuse = 8 + 1 = 9
Length of segment of hypotenuse adjacent to leg of interest: 8
8/z = z/9
z^2 = 72
z = sqrt(72)
z = sqrt(36 * 2)
z = 6sqrt(2)
Answer:
speed = (3/8 mi)/(3/5 h)
Step-by-step explanation:
... speed = distance/time
Fill in the given values:
... speed = (3/8 mi)/(3/5 h)
_____
<em>Comment on units</em>
You can use the units to provide both guidance and assurance. You know speed is generally expressed in <em>miles per hour</em>. If you consider "per" to mean "divided by", this expression of units tells you speed is calculated by dividing miles by hours.
If you leave the units with the numbers, as we have above, they enter into the calculation the same way any variable might. You can do the arithemetic with the numbers, and you can indicate the arithmetic with the units (just as you would with any variables). Here, the result of evaluating the equation would be ...
The fact that the units come out mi/h (the units of speed) provides assurance that you probably did the math correctly.
Answer:
$93.22
Step-by-step explanation:
bill = $79
tip = 18%
tip amount = tip % of bill
=18/100 * $79
=$1422/100
=$14.22
total cost = $79 + $14.22
=$93.22
Find 6 intervals to use:
We can use 0-4, 5-9, 10-14, 15-19, 20-24 and 25-29
Then count the numbers from the list in each group:
0-4 there are 5 numbers in this group
5-9 there are 3
10-14 there are 3
15-19 there are 5
20-24 there are 2
25-29 there are 2
Now create the histogram, with the vertical axis labeled from 0 to 5 and the horizontal axis labeled with your six groups:
See attached picture:
Step-by-step explanation:
A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490
Option B is the correct answer