Answer:
For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:
A = (1/2)*H*(X + Y)
with this we can complete the table.
a)
Here we know:
X = 7cm
Y = 11cm
H = 6cm
Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2
b)
Here we know:
X = 8 m
Y = 10 m
A = 126 m^2
Then:
126 m^2 = 0.5*H*(8m + 10m)
126 m^2 = H*9m
126 m^2/9m = H = 14m
Then the height of this trapezoid is 14m
c)
Here we know:
X = 5mm
H = 8mm
A = 72 mm^2
Then:
72 mm^2 = 0.5*8mm*(5mm + Y)
72 mm^2 = 4mm*(5mm + Y)
72mm^2/4mm = 5mm + Y
18 mm = 5mm + Y
18mm - 5mm = Y
13 mm = Y
Then the parallel side 2 is 13 mm long.
The slope of this line is 10
X= 0.2034394 or 14.50799581 . I hope this helps
Let's assign a variable that is the number when multiplied by 10% it is equal to 0.1.
Well let that be x.
Now we want to convert the 10% into a decimal. To convert a percent into a decimal, simply move the % sign two places to the left and make it into a decimal point.
When we say "of" in mathematics what we really mean is to multiply.
0.10 * x = 0.1
That is the equation we need to find the value of x for.
Divide both sides by 0.10
0.10 * x = 0.1
The 0.10 on the left side cancels out.
x = 1
So, the answer to this question is if we multiply 10% by 1 we will get 0.1.
F(x) = -5 x + 10
Then
f(-2) = -5(-2) + 10
= 10 + 10
= 20
