Triangle area = 8 x 3/2
= 12
12 x 2 = 24cm^2 for 2 triangles
Height of rectangle must be found, so use pythag on triangle
a^2+ b^2 = c^2
16 + 9 =c^2
C=5
A= 5 x 12
= 60
60 x 3 triangles in total is 180cm^2
180cm^2 + 24cm^2 = 204cm^2
Ans: 204cm^2
A. 4x - 3 = 2x + 7
4x - 2x = 7 + 3
2x = 10
x = 5
B. 2x + 6 = 7x - 14
2x - 7x = - 14 - 6
-5x = -20
x = 4
C. 2( x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10
D.4 ( 5x - 2) = 2( 9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7
E.4x - 1/2 = x - 7
4x - x = -7 + 1/2
3x = (-14 + 1)/2
3x = -13/2
x = -13/6
F. 3x + 2 = 2x + 13/3
3x - 2x = 13/3 - 2
x = (13 - 6)/3
x = 7/3
Hope This Helps You!
The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
<h3>What is the area of the rectangular table?</h3>
Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.
To find the area of the rectangular table, we know that Area, A = LW where
Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .
So,
let
- length of the rectangular table = L = x/2 and
- width of rectangular = W = 3x
So, the area of the rectangular table A = LW
= x/2 × 3x
= 3x²/2
So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
Learn more about area of rectangular table here:
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Answer:
Simplify
1. 20:10 = 2:1
2. 30:36 = 5:6
3. 54: 12 = 18:7
Step-by-step explanation:
Answer for Number 1
The GCF of 20 and 10 is 10
Divide both by the GCF, 10:
20 ÷ 10 = 2
10 ÷ 10 = 1
The ratio 20 : 10 can be reduced t by dividing both terms by the GCF = 10
20 : 10 = 2 : 1
Step-by-step explanation:
your teacher was very nice and warned you about the trap in the question.
so, really, what do we have to do ?
a full circle represents 360°.
the shaded sector is the full circle minus the white sector !
this is the same as directly calculating the shaded sector for 360-75 = 285°.
so, the area of a circle is
pi×r²
in our case
pi×20² = 400pi
the needed fraction of the whole circle is either
75/360, if we want to subtract it for the solution
or
285/360, if we want to calculate the solution directly.
both lead to the same result.
400pi×360/360 - 400pi×75/360 =
= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =
= 316.6666666...pi ≈ 316.7pi
