Answer: the height of the trapezoid is 6 cm
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6 cm
b = 8.5 cm
If the area of the cut out is 43.5 cm², then
53.5 = 1/2(6 + 8.5)h
Cross multiplying by 2, it becomes
43.5 × 2 = (6 + 8.5)h
87 = 14.5h
h = 87/14.5 = 6 cm
Answer:
x^2 + (y+1)^2 = 10^2
Step-by-step explanation:
Centre (p,q) = (0, -1)
radius, r = 10
General Equation of a circle
(x-p)^2 + (y-q)^2 = r^2
(x-0)^2 + (y- -1)^2 = 10^2
x^2 + (y+1)^2 = 10^2
F(C) = 9/5C + 32
I'll just change F(C) to y and 9/5C to 9/5x.
y = 9/5x + 32
inverse...
x = 9/5y + 32
9/5y = x - 32
y = 5/9x - 160/9
Sooooo
F(C) = 5/9C - 160/9
Answer:
Step-by-step explanation:
The change of form formula (exponential to logarithm) is:
Looking at the problem given, we can simply write the logarithmic form as:
This is the answer.