Answer:
k = 2
x = 2y
Step-by-step explanation:
If variables x and y vary directly, this is expressed as;
x ∝ y
x = ky
k is the proportionality constant
Let's assume the value of x and y since we are not given;
x = 20
y = 10
Substitute
20 = k(10)
10k = 20
k = 20/10
k = 2
Hence the constant of proportionality is 2
Substitute i=k = 2 into the equation x = ky
x = 2y
Hence an equation that relates x and y is x = 2y
<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>
Answer:
1) Radius of the cone = 9.5 cm
2) BA = 90.25 π cm²
3) SA = 384.7 π cm²
Step-by-step explanation:
1) Radius of the cone = 9.5 cm
2) Base Area of the cone =
BA = (π)(9.5)²
BA = 90.25 π cm²
3) Surface Area of Cone =
SA = π(9.5)(9.5 + √(29.5)²+(9.5)²)
SA = 9.5π(9.5 + 31)
SA = 9.5π(40.5)
SA = 384.7 π cm²
Edge 2022
Answer:60
Step-by-step explanation:
<h3>
Answer: 1/2</h3>
Explanation:
Here's the event space
E = {1,2,3}
this represents all of the desired events we want, which is rolling less than a 4 on a standard number cube (aka a die). There are A = 3 items in this set.
The sample space is the set of all possible outcomes, namely,
S = {1,2,3,4,5,6}
which is all of the values on the die. There are B = 6 items in this set.
Divide the values of A and B to get the theoretical probability:
P(rolling a number less than 4) = A/B = 3/6 = 1/2