4(x+2)=3(x-2)
Multiply the first bracket by 4
Multiply the second bracket by 3
4x+8=3x-6
Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)
4x-3x+8=3x-3x-6
x+8=-6
Move positive 8 to the right hand side
x+8-8=-6-8
x=-14
Check answer by using substitution method
Use x=-14 into both of the equations
4(-14+2)=3(-14-2)
-56+8=-42-6
-48=-48
Answer is -14- D)
We are given with
arc AC = 130
The measure of the arc on the other side of the circle is
360 - 130 = 230
Therefore, according to the theorem on circles, the measure of angle ABC is
(1/2) ( 230 - 130) = 50
Answer:
36 <127
(36,127°)
36 [ cos (127) + i sin (127)]
Step-by-step explanation:
w1 = 2 < 95
w2 = 18 < 32
w1 * w2
We multiply the magnitude and add the angles
w1 * w2 = 2*18 < (95+32)
=36 < 127
36 [ cos (127) + i sin (127)]
It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.
Let pi be pipe 1 and pi2 be pipe 2
pi = 1 / 1
pi2 = 1 / 2
together = 1/1 + 1/2 ;
3/2 time ; 2/3 hour.
It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.
Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.
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The perimeter of inside of the track is 536.44m
<h3>Perimeter of a circle and rectangle</h3>
The perimeter of a circle is also known as the circumference of the circle. The formula for calculating the circumference is expressed as:
C = 2πr
where
r is the radius
From the given diagram
r = 46/2 = 23m
C = 2(3.14)(23)
C = 144.44m
Find the perimeter of the rectangle
P = 2(l+w)
p = 2(46+150)
P = 2(196)
P =392m
The perimeter of the inside track = 144.44 + 392
The perimeter of the inside track = 536.44m
Hence the perimeter of inside of the track is 536.44m
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