Answer:
y = 10
Step-by-step explanation:
based on the question if y varries directly as x
mathematically
y ∝ x
also, y varries inversly as z can be mathematically expressed as
y ∝ 1/z
combining the two expressions
y ∝ x ∝ 1/z
i. e
y = kx/z..... where k is the constant of proportionality
make k the subject of formulae
yz = kx
Divide both sides by x
k =yz/x
when y=100 , x = 5 z =10
k = 100 × 10/5
k = 200
to find y when x = 3 and z = 60
<h3>from the equation connecting x,y,z</h3>
k =yz/x
200 =60y/3
cross multiply
60y = 200 × 3
60y = 600
divide both sides by 60
y = 10
Answer: 66cm
Step-by-step explanation:
Diameter (d) = 21 cm
c= πd = 22/7 x 21 = 22 x 3 = 66cm
Answer:
A conditional statement is something like:
If P, then Q.
P = hypothesis.
Q = conclusion.
In this case, we have:
"If a polygon is a quadrilateral, then it is a square".
1) The hypothesis is: a polygon is a quadrilateral
2) The conclusion is: it is a square
3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.
4) The inverse of a conditional statement is (using the same notation than above)
If not P, then not Q.
In this case is:
"If a polygon is not a quadrilateral, then it is not a square"
(this is true)
5) A converse statement is:
If Q, then P
In this case is:
"if it is a square, then the polygon is a quadrilateral"
(Also true)
6) A biconditional statement is written as:
P if and only if Q.
In this case is:
A polygon is a quadrilateral if and only if it is a square.
(This is false)
