Answer:
a) 21.20 feet long b)51.20 feet of fencing
Step-by-step explanation:
a)
a²+b²=c²
15²+15²=c²
225+225=c²
450=c²
√450=c
21.213=c
21.20=c
b)
15+15+21.20= 51.20
Answer:
Emma's recipe will be more lemony because
5/2=2.5
2/1=2
Step-by-step explanation:
15 mi/h= 15mi/60 min= 1/4 (mi/min)
x is original speed (mi/min)
t is original time
x*t =260
(x+1/4)=5x/4 is new speed
t-20 - new time
(x+1/4)(t-20)=260
xt = (x+1/4)(t-20)
xt=xt + t/4 - 20x - 5
t/4=20x+5
t=80x +20
We can substitute t=80x +20 into equation x*t =260
x*(80x+20)=260
80x²+20x-260=0
4x²+x-13=0
D=b² - 4ac = 1+4*4*13= 209
x=(-1+/-√209)/2*4
x=1.68 mi/min
1.68mi/min * 60 min/1h≈100 mi/h
Check
260/100=2.6h time with old speed
260/(115)=2.26 h time with new speed
2.6-2.26 = 0.34 h difference between old and new time
0.34h*60min/1h≈20 min difference between old and new time in minutes
Answer:
22.919 or 23 degrees
Step-by-step explanation:
Use the theta or x in place of the usual angle. the lengths are adjacent and hypotenuse (a/h) so you use cosine. cos(x)=35/38 or cos(θ)=35/38
