Answer:
I'm going to use the Pythagoras theorem
1. hypotenus²= base²+height²
h²=80²+18²
h²=6400+324
√h²=√6724
hypotenuse= 82
2. 53²=45²+h²
2809=2025+h²
2809-2025=h²
784=h²
√784=√h²
h=28
3. 40²=b²+24²
1600=b²+576
1600-576=b²
√1024=√b²
b= 32
Answer:
(10x - 5) square units.
Step-by-step explanation:
Let the lengths of equal sides be x units.
Hence, AB + AD + DC = x + x + x = 3x
Therefore, BC = 3x - 2

1. You have the function 
2. You know that
with
, because the division by zero is not defined. So ,
for
where
is a integer number.
3. Then, to find the domain of the function given in the problem, you must make 
Where
is odd number.
4. Therefore:

5. Finally, the domain is: 
The answer is: 
<span>75 pages.
OK. Lots of copying errors here. I'll be using 275 page book, reading 10 pages per 15 minutes, skimming 15 pages per 10 minutes, 5 hours and 50 minutes to complete the book.
To make things easier, first convert the time to just minutes. So
5 * 60 + 50 = 300 + 50 = 350 minutes.
Now let's use the variable X for the number of minutes spent skimming and (350-X) for the number of minutes spent reading.
X * 15/10 + (350 - X)*10/15 = 275
Solve for X.
X * 15/10 + (350 - X)*10/15 = 275
X * 15/10 + 350*10/15 - X*10/15 = 275
X * 15/10 - X*10/15 = 275 - 350*10/15
X(15/10 - 10/15) = 275 - 3500/15
X(45/30 - 20/30) = 825/3 - 700/3
X(25/30) = 125/3
X = 125/3 * 30/25 = 125/1 * 10/25 = 5/1 * 10/1 = 50/1 = 50
So Jayden spent 50 minutes skimming. And at the rate of 15 pages every 10 minutes, he skimmed 50*15/10 = 750/10 = 75 pages.</span>
Answer:
6 vans
Step-by-step explanation:
If 1 van can seal 18 students...
116 ÷ 18 = 6.4
Since it's not a whole number, we will estimate it to the nearest whole number which is 6.