Answer:
The number of ways are 40320.
Step-by-step explanation:
Consider the provided information.
Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.
We need to determine the number of different ways to put eight cookbooks on the shelf.
We need to select 8 cookbooks taking 8 at a time.
So use the permutation formula: 
Substitute n=8 and simplify.
Hence, the number of ways are 40320.
The answer is: "
270 minutes " .
__________________________________________________________ → There are "
270 minutes" in "4 hours and 30 minutes" .
__________________________________________________________Explanation:__________________________________________________________Method 1):__________________________________________________________ Note: 60 minutes = 1 hour (exactly);
30 minutes =
? hr ? ;
→ (30 minutes) * (1 hr/ 60 minutes) ;
= (30/60) hr
= (3/6) hr
= (3÷3)/(6÷3) hr ;
= "
hr " ;
or; write as: "
0.5 hr " .
_________________________________________________________So "4 hours & 30 minutes" = 4 hours + 0.5 hours = 4.5 hours.
→ 4.5 hours
= ? minutes ;
The answer is: " 270 minutes" . 4.5 hours *
;
= (4.5 * 60) minutes
= "
270 minutes " .
→ The answer is: "
270 minutes ".
___________________________________________________________
Method 2) ___________________________________________________________ "4 hours and 30 minutes" =
<u> ? </u> minutes " .
___________________________________________________________→ " 4 hours
= <u> ? </u> minutes " ;
→ 4 hr . *
= (4 * 60) minutes
= 240 min. ;
→ There are " 240 minutes in 4 hours" .
→ To find the number of "minutes" in "4 hours and 30 minutes" ;
→ we takes the number of minutes in 4 hours—which is "
240 minutes"—and add "
30 minutes" to that number; as follows:
→ "
240 minutes + 30 minutes " ;
to get: "
270 minutes " .
_______________________________________________________ → There are "
270 minutes" in "
4 hours and 30 minutes" .
_______________________________________________________
The answer is: "
270 minutes " .
_______________________________________________________
Answer:
B) 0.85
Step-by-step explanation:
By definition, complementary angles add to 90 degrees.
The given angle 58 degrees is complementary to 90-58 = 32 degrees. The two angles 58 and 32 add to 90.
Therefore, cos(32) = 0.848 = 0.85
The circumfrence of an 8ft circle is 8 x 3.14 = 25.12ft. Hope this helps!
