Answer:
a = 132 ft^2
Step-by-step explanation:
Area of triangle
a = (1/2)bh
---------------------------
Base
a = (1/2)(8)(6)
a = 24 ft^2
----------------------
Each side
a= (1/2)*(8)(9)
a = 36
All three sides
a = 36 * 3
a = 108 ft^2
-----------------------
Total area
a = 24 + 108
a = 132 ft^2
Answer:
3y + 3z
Step-by-step explanation:
(y + z)3
As the parenthesis contains 2 different variables, we cannot add them
Distribute (Multiply 3 by y and z)
3y + 3z
This is the simplest that this expression can get
Hope this helps :)
Answer:
F(x) =2(1/2 x2-6x) +C
Step-by-step explanation:
Hope it helps
Answer:
1:12 One sketch every 12 minutes. Four Easy Steps Below!
Step-by-step explanation:
The ratio will be sketches:minutes
*We try to find how many minutes it takes him to make 1 sketch, since it's asking for lowest terms!
- find the larger ratio= 5:60 *60 minutes in an hour, we're finding minutes! Convert one hour to minutes*
- 5:60.... Divide 60 by 5. *You're finding the time it takes for one sketch*
- 12
- 1:12 1 sketch every 12 minutes. This is the lowest term.
Answer:
130
Step-by-step explanation:
The number of integers meeting the criteria can be found by counting them using a counting formula.
<h3>Divisible by 7</h3>
Integers divisible by 7 will have the form (7n), where n is some positive integer. The number of them less than 1000 can be found from ...
7n ≤ 1000
n ≤ 142.857
There are 142 integers less than 1000 that are divisible by 7.
<h3>Divisible by 7 and 11</h3>
Similarly, integers divisible by 7 and 11 will be of the form (77n), for some positive integer n.
77n ≤ 1000
n ≤ 12.987
There are 12 integers less than 1000 that are divisible by both 11 and 7.
<h3>Divisible by 7, not 11</h3>
The number of integers less than 1000 that are divisible by 7, but not 11, will be the difference of these numbers.
142 -12 = 130 integers divisible by 7, but not 11.
