ABC is same as FDE
so AC = FE = 5ft
angle B = 28 deg
angle C = 90 deg
so A = 180 - B - C = 62
18 meters by 14 meters
Step-by-step explanation:
18 meters by 14 meters
Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).
This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:
2L+2W = 64
Now we know the area enclosed must be 252 so we have:
L* W = 252
Rewriting the second equation we get:
Plug this into first equation to get:
(multiply everything by L)
Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.
Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).
The equivalent answer to this expression is found by using the distributive property.
(-2a - 12)
Simply multiply the negative 2 into the second parenthesis.
Answer:
There are total 55 counters out of which 11 are green and 44 are other color.
Step-by-step explanation:
This is a ratio and proportion question. There are c amount of counters in the box .
The chosen have the same ratio as in the box
Green : total
4: 20
11: x
Using cross product rule
x * 4= 20 *11
x= 20*11/4
x= 55
So there are total 55 counters out of which 11 are green and 44 are other color.
Benedict take 20 counters out of which 4 are green.
Answer: 
Step-by-step explanation:
Since, the total number of contestant = 7,
Thus, the probability that out of 3 contestant, me and my friend is chosen
= 
= 
= 
= 
⇒ Third Option is correct.