Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
Answer:
a. 2401.06
b. 37.54%
c. 56.3%
Step-by-step explanation:
hopefully this is right
*note: I think you forgot to convert 4-2 back into yards.
a. Robbie's field of view to the North end includes parts not on the football field. so to find the area of the football field he can see, we need to find:
total area of what Robbie sees - area of non football field Robbie sees
what you shaded represents the total of what Robbie sees. it's a triangle. area of a triangle is 1/2(b)(h) where h is distance away and b is width of view.
total area = 1/2(170)(30.92) = 2628.56 yd
area of non football field (pipe to South end)
= 1/2(50)(9.1) = 227.5
so 2628.56 - 227.5 = 2401.06
b. area found in part a / total area of football field
2401.06 / (120*53.3) = .3754
.3754 * 100 = 37.54%
c. the chance of Robbie seeing the touchdown depends on how much of the (North) endzone he can see.
area of north endzone is
10 * 53.3 = 533.
area Robbie sees in endzone is
2628.56 - 2328.48 = 300.08
(found by total area Robbie sees - area of non endzone Robbie sees)
300.08 / 533 = 0.563
= 56.3%
E=egg farm
x=distantce between the Berto´s trains and the meeting point.
t=time where the trains meet up
⇒110 miles/h ⇒85miles/h
[---------------------------E----------------------]-------------------------------------X
[............12 miles.......][........34 miles.....][------------ x ----------------------]
distance between Berto´s train and Eduardo´s train=
=12 miles+34 miles=46 miles.
S=d/t ⇒d=S*t
S=seed
d=distance
T=time
Eduardo´s train;
46 miles+x=t*110 miles/h ⇒x=t*110 miles/h-46 miles (1)
Berto´s train;
x=t*85 miles/h (2)
With the equations (1) and (2) we suggest this system equations:
x=t* 110 miles/h-46 miles
x=t*85 miles/h
we solve this system equiations :
t*110 miles/h-46 miles=t*85 miles/h
110t miles/h-85t miles/h=46 miles
25 t miles/h=46 miles
t=46 miles/25 miles/h=1,84 hour (≈1 hour, 50 minutes, 24 seconds)
x=t*85 miles/h=156,4 miles
Solution: 1,84 hour
45 minutes is equal to 1.5 times 30:
1.5*30=45
so she will also read 22*1.5 pages, which is 22+11=33
so she will read 33 pages
