<u>Answer:</u>
a) ,
b)
c) x = 4, y = 4 , $ 260
<u>Step-by-step explanation:</u>
a)Let, the glass bowler works for x hours on simple vases and y hours on elaborate vases.
According to the question,
-----------(1)
Also, the glass blower has to make at least 40 vases in 8 hours.
So,
⇒
⇒ ---------(1)
⇒
⇒----------(2)
b)Again profit of the glass blower, ( in $)
=
= --------------(2)
which will be maximum when x is minimum which is 4 (from (1))
so
and the profit is,
(in $)
=$ 260
The image of the question is attached below.
Given:
m∠DAC = 20° and m∠BCA = 30°
m∠ABC = 90° and m∠CDA = 90°
To find:
The value of x and y.
Solution:
In right triangle ABC,
m∠BAC = x° + 20°
Sum of the interior angles of a triangle = 180°
m∠BAC +m∠ABC + m∠BCA = 180°
x° + 20° + 90° + 30° = 180°
x° + 140° = 180°
Subtract 140° from both sides.
x° + 140° - 140° = 180° - 140°
x° = 40°
In right triangle ADC,
m∠ACD = y° + 30°
Sum of the interior angles of a triangle = 180°
m∠ACD +m∠CDA + m∠DAC = 180°
y° + 30° + 90° + 20° = 180°
y° + 140° = 180°
Subtract 140° from both sides.
y° + 140° - 140° = 180° - 140°
y° = 40°
The value of x is 40 and y is 40.
