Answer:
The tip of the minute hand move in 24 hours is 150.85 inches.
Step-by-step explanation:
Given : The minute hand of a clock is six (6) inches long.
To find : How far does the tip of the minute hand move in 24 hours?
Solution :
We know that,
1 hour = 60 minute
24 hour = 
The angle form is
.
The radius is r=6 inches
Using length of arc formula,




Therefore, the tip of the minute hand move in 24 hours is 150.85 inches.
Find the area of both shapes in the composite figure and add them together.
A of rectangle is 6 x 12
= 72
A of triangle is 1/2 x 8 x 5
=20
Add them together to get 92 inches^2
Hope this helps!!
Answer:
About 17 weeks
Step-by-step explanation:
Given
Ryan:

<em />
<em> (weekly)</em>
Sarah:

(weekly)
Required
Determine the number of weeks they have the same cards
Represent the number of weeks with w:
For Both individuals, number of card at any given week is:

So,
For Ryan, the expression is:


For Sarah, the expression is:


To determine the number of weeks, we have to equate both equations:

Collect Like Terms


Solve for w


16.6 implies about 17 weeks, because 16.6 approximates to 17
<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>
Answer:
x = 2
Step-by-step explanation:
2(x+4)=12
2x+8=12........multiplying each number in the bracket by 2
2x = 12-8
2x = 4...... dividing both sides by 2
x = 2