Answer:
<em>8cm</em>
Step-by-step explanation:
Given three pieces of string of length 16 cm, 56 cm and 24 cm respectively. To get the the greatest length that each piece of string can be if she wants to cut the three lengths of string into smaller pieces such that all the pieces are of equal length, with no string left over, we will have to find the greatest common factor for the three lengths
16 = 2 * 8
56 = 7 * 8
24 = 3 * 8
Since 8 is common to all the factors, hence the greatest common factor is 8.
<em>Hence the greatest length that each piece of string can be, in cm is 8cm</em>
Answer:
19.8 and 8/(sin(theta))+ 6/(cos(theta))
Step-by-step explanation:
If you make a table you can see that L_1 + L_2 gets larger as you increase theta prom pi/2 and decrease theta from pi/2. This means that pi/2 is the theta that will yield the smallest length for the ladder. Plugging this into L_1 + L_2 you get 19.8 (rounded to the nearest hundred)
C = 8/(sin(theta))+ 6/(cos(theta))
Answer:
9y+1=32y+1+54
collect like terms, a symbol changes once it crosses the equal to sign =
9y-32y=1+54-1
-23y=54
divide both sides by -23
-23y/-23=54/-23
-23 will cancel -23 to give y
y=54/-23
y=-2.4 or 2 whole number 8/23
Answer:
460 USD
Step-by-step explanation:
monthly earnings = 250 x 4 = 1000
monthly bills = 135 x 4 = 540
end of month = 1000 - 540 = 460 USD
Answer: 
(the last option)
Step-by-step explanation: When you plug in values from the given solution set, the number is positive because of the absolute value symbol. This causes the range of possible values to be from 0 to 5, which are all less than or equal to 5.
