Answer:
m<ACB=1/2 of m<AOB
so m<ACB=45⁰÷2
m<ACB=22.5⁰
I HOPE IT HELPS HAVE NICE DAY!
First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
x=-79/4, y=-45/8. (-79/4, -45/8).
Step-by-step explanation:
-2x+4y=17
3x-10y=-3
---------------
3(-2x+4y)=3(17)
2(3x-10y)=2(-3)
----------------------
-6x+12y=51
6x-20y=-6
------------------
-8y=45
y=45/-8=-45/8
3x-10(-45/8)=-3
3x+450/8=-3
3x+225/4=-3
3x=-3-225/4
3x=-12/4-225/4
3x=-237/4
x=(-237/4)/3
x=(-237/4)(1/3)
x=-237/12=-79/4
Answer:
87 customers
Step-by-step explanation:
Consider the below table is attached with this question.
From the below table it is clear that the number of customers entered between 1:00 to 4:00 is
The number of customers leaved between 1:00 to 4:00 is
Total change in the number of customers between 1:00 to 4:00 is
There were 75 customers in the store at 1:00. So, total number of customers at 4:00 is
The store must be emptied of customers when it closes at 5:00
Therefore, 87 customers must leave the store between 4:00 and 5:00.