Answer:
C) B = 38.8°, C = 93.2°, c ≈ 43
Step-by-step explanation:
For triangle: a / sin A = b / sin B = c / sinC
32 / sin 48° = 32 / 0.743
32 / 0.743 = 27 / Sin B sin B = 0.627
<u>B = 38.8°</u>
C = 180 - 48 - 38.8 = 93.2° sin C = sin 93.2° = 0.998
32 / 0.743 = c / 0.998 = 42.98 (<u>≈ 43</u>)
We have two sides of length 'w'. They are the vertical sides.
We also have two sides of length '2w+6' which are the horizontal sides.
So we have these four sides
side1 = w
side2 = 2w+6
side3 = w
side4 = 2w+6
Let's add up those four sides to get
Perimeter = (side1)+(side2)+(side3)+(side4)
Perimeter = (w)+(2w+6)+(w)+(2w+6)
Perimeter = w+2w+6+w+2w+6
Perimeter = 6w+12
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Since the perimeter is given to be 228, and we found the perimeter expression to be 6w+12, this must mean that the two are equal
So, 6w+12 = 228
Let's solve for w
6w+12 = 228
6w+12-12 = 228-12
6w = 216
6w/6 = 216/6
w = 36
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Now that we know that w = 36, we can find the dimensions of this rectangle
The vertical sides are simply w, so the vertical sides are 36 feet each. I simply replaced w with 36.
The horizontal sides are a bit more complicated. The expression we have is 2w+6 or 2*w+6. Let's replace w with 36 and use PEMDAS to evaluate
2*w+6 = 2*36+6 = 78
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Answers are...
Length = 78 feet
Width = 36 feet
(the length is the horizontal component, the width is the vertical)
Answer:
A car's velocity changes from 25 m/s to 20 m/s in 5 seconds.
Step-by-step explanation:
By definition, Acceleration is the rate of change of Velocity of an object.
I.e it is the( final velocity minus initial velocity ) ÷ by the time it took for the velocity to change.
If we observe the choices only one choice gives us all 3 components (final velocity, initial velocity, time taken for velocity to change), which is :
A car's velocity changes from 25 m/s to 20 m/s in 5 seconds.
Answer:
4
Step-by-step explanation:
3x+4=16
-4 -4
3x=12
3/3 12/3
4
