For this item, we represent first the proportionality constant by the variable k. Being directly proportional to both b and c, these variable will be in numerator and d will be in the denominator. That is,
a = kbc / d
Substituting the known values,
400 = k(16)(5) / (2)
The value of k is 10. The equation that models the relationship is therefore,
a = 10bc/d
Answer:
A₁ = 950 mm²
Step-by-step explanation:
region 1 is a trapezium with area (A₁ ) calculated as
A₁ = h (b₁ + b₂)
where h is the perpendicular height between bases and b₁, b₂ the bases
here h = 38 , b₁ = 30 and b₂ = 20 , then
A₁ = × 38 × (30 + 20) = 19 × 50 = 950 mm²
Answer:
y = 96
Step-by-step explanation:
In order to find y we have to find the value of x
angle "x" is an angle formed by a tangent line and a secant line.
Kindly look at the image.
As you can see an angle formed by a tangent and a secant is equal to half of its intercepted arc.
x's intercepted arc has a measure of 168
So...
X =
So x = 84
Now to find y.
Angle "x" and angle "y" are formed on a straight line.
Angles formed on a straight line add up to equal 180°
That being said we can find a missing angle ( y ) by subtracting the given angle's measure ( angle x which has a measure of 84°) from 180
so y = 180 - 84
180 - 84 = 96
Hence y = 96
D. All rational numbers are integers