Answer:
Length = 15 cm, width = 12 cm, Perimeter = 54 cm
Step-by-step explanation:
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².
Length = 5x
Breadth = 4x
Area of rectagle,
A = bl
180 = 5x × 4x
180 = 20x²
x² = 9
x = 3
Length = 5x = 5(3) = 15 cm
Width = 4x = 4(3) = 12 cm
Perimeter of rectangel,
P = 2(l+b)
= 2(15+12)
= 54 cm
Hence, this is the required solution.
Answer:
x = 13.5°
Step-by-step explanation:
Angles 2 + 3 = a straight line, so 180°
180 - 66 = 114 = angle 2
114 = 10x - 21
114 + 21 = 10x
135 = 10x
135 / 10 = x
13.5 = x
Answer: He actually rode 2 miles per hour on his trip
Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.
Time = distance /speed t will represent time, s is the speed: t = 30/s Use the rime it would have taken at the higher speed to create an equation:
t-12 = 30/s+8 replace the y with the 30/s
30/s -12 = 30/s+8
(s)(30/s -12 ) = (s)(30/s+8 ) Cross multiply to cancel denominators
(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s Simplify:
(-1)(-12s² -96s +240 ) =0 ==> 12s² +96s -240 divide all by 12
s² + 8s -20 = 0 Factor and solve for s
(s +10)(s -2) =0 s-2=0 S= 2
Proof:
30/2 = 15 hours for original trip at 2mph,
increase speed by 8mph 2 + 8 = 10mph
30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.
(Brainilest, please :-)
Answer:
A right triangle
Step-by-step explanation:
The answer is a right triangle because it has a right angle. A right angle is 90 degrees
(8 x 6) 8h =144
48+ 8h=144
144-48= 96
8h=96
96 divided by 8= 12
So he should have to work 12 hours at the restaurant. Hope this helps and sorry if it’s wrong!
