<span>r²sin²θ = 16rcosθ </span>
<span>rsin²θ = 16cosθ </span>
<span>r = 16cosθ / sin²θ </span>
<span>r = 16cotθcscθ</span>
x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.
If the new technology innovation improves the production by 10%, they are increasing the amount of cars made by 10%.
Originally, 120 cars were made per day.
10% of 120 is 12.
Since the amount of cars made per day was increased by 12, we can add 12 to 120 to get 132 cars made per day (as the new unit rate).
The question asks how many cars can be produced in 5 days (after the car production increase). We can get the answer by multiplying our new daily amount of cars by 5: 132 times 5.
132 times 5 = 660
So, 660 cars can be produced in the factory in 5 days.
Answer:
1. So the porpotion should be 25/100 = x/120
You have this because you know that 25% of the dogs who go to ABC veterinarian need a rabies booster. So 100% of the dog should be 120 dogs, and now our job is to find how many dogs make up 25% percent of the total number.
According to our porpotion, we have:
(120 . 25)/100 = 30 (dogs)
Another way of understanding this is that you have to find 25% of the total amount, so just take that total number and multiply it with 25% or 25/100 which is 0.25 as well, that's why we multiply it with 25 first and then divide it to 100 later.
2.
*I guess there is no need of explaining it
0.9 × 550 = 495
<span>Migration of bantu people affected the culture of Africa effected them in a variety of ways from the way the culture hunted cooked and ran their own little</span>
