Answer:
C. solution:
3(3c-2) = 5(2c-1)
or, 9c-6 = 10c-5
or, -6+5 =<em> </em>10c-9c
or, -1 = 1c
Hence, c = -1.
D. solution:
5(5-2a) = 4(6-a)
or, 25-10a = 24 - 4a
or, 25-24 = -4a+10a
or, 1 = 6a
or, 1/6 = a
Hence, a = 1/6.
Refer to the diagram below.
Let x = length of line segment RS.
Let Q = ∠RQS.
Let S = ∠RSQ
According to the Law of Sines,
Because the sum of angles in a triangle is 180°, therefore
∠Q = 180 -(80 + 49.68) = 50.32°
Apply the Law of Sines again to obtain
Answer: The length of RS = 2.4 (nearest tenth)
Answer:height=20cm
Step-by-step explanation:
Length=100cm
Breadth=40cm
Volume=80 liters which is equal to 80000cm^3
volume=length x breadth x height
80000=100 x 40 x height
80000=4000 x height
Divide both sides by 4000
80000/4000=(4000xheight)/4000
20=height
Height=20cm
Answer:
18N
Step-by-step explanation:
According to Newtons second law
F ∝ a
F = ka
k is the constant of proportionality
When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;
8 = 4k
k = 8/4
k = 2
If a = 9m/s², F = ?
Recall F = ka
F = 2 * 9
F = 18N
Hence the force will be 18N
Answer:
Step-by-step explanation:
Let x be the number of hours
Rental A charges:
Rate per hour = $4.50
Rate for x hours = 4.50x
Equation: 15 + 4.50x
Rental B charges:
Rate per hour = $ 5
Rate for x hours = 5x
Equation: 12.50 + 5x