If y varies inversely as x and y=40 when x=5, then the constant is
1 answer:
The constant is 200.
Further explanation:
An inverse propertion states that if one quantity increases the other decreases and vice versa.
It can also be written as:
if y varies inversely with x
then
y∝1/x
y=k/x
When the proportionality symbol is removed, a proportionality constant is introduced
Given
y=40
x=5
Putting in equation
The constant is 200.
Keywords: Proportion, inverse proportion
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Answer:
A. Area of ABCD = 240
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
=
+
= +
= 676
BD =
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm