Answer:
7.75 cm
Step-by-step explanation:
Let a circle having centre O and AB is a tangent of the circle and OB is the radius of the circle = 2 cm. And join AO such that AO = 8 cm.


Answer:
Freddie would have walked 25 miles after 12 and a half hours.
Step-by-step explanation:
Given that Freddie is walking at a constant speed, and after 2 hours he walked 4 miles, while after 4 hours he walked 8 miles, to determine how long he walked 25 miles, the following calculation must be performed:
4/2 = Miles per hour
2 miles per hour
2X = Y
2X = 25
X = 25/2
X = 12.5
Therefore, Freddie would have walked 25 miles after 12 and a half hours.
Answer:
28 portraits
Step-by-step explanation:
Let's first figure out how many portraits Lamy can paint in 1 week, which is his <u>unit rate</u>. To calculate this, we just have to divide the number of portraits he paints by the amount of time it takes him to paint them.
In this case, the former quantity is 84 portraits, and the latter quantity is 6 weeks, so his unit rate is
= 14 paintings per week.
Now, we know that in 1 week, Lamy can paint 14 portraits. Therefore, since this is a <u>directly proportional relationship</u>, all we have to do to find how many portraits he can paint is 2 weeks is double the unit rate. This is because in a directly proportional relationship, if you multiply one variable by a number, you have to multiply the other by the same number to maintain equality, and here we are multiplying weeks by 2 so we need to multiply paintings by 2 as well.
Thus, Lamy can paint 14 · 2 = 28 paintings in 2 weeks.
Hope this helps!