Cross multiply the expression so that we can get
(1+sinx)(1-sinx) = cos^2 x
1 - sin^2 x = cos^2 x
cos^2 x + sin^2 x = 1
since
cos^2 x + sin^2 x = 1
therefore
1 = 1
the two expressions are identical in a trigonometric sense
Answer:
68 mph
Step-by-step explanation:
80 m/hr * 2 hr = 160 miles
60 m/hr * 3 hr = 180 miles
total miles / total time = average speed
340 miles / 5 hr = 68 m p h
Answer:
Amount required = 2,217,600
Step-by-step explanation:
Dimensions of the rooms are as follows;
Room 1; 9 feet × 12 feet
Room 2; 14 ft × 16 ft
Room 3; 12 ft × 14 ft
Perimeter of rooms;
P1 = 2(9 + 12) = 42 ft
P2 = 2(14 + 16) = 60 ft
P3 = 2(12 + 14) = 52 ft
Total perimeter; P = 42 + 60 + 52 = 154 ft
Height is 90 ft.
Thus, total area is;
A = 154 × 90
A = 13860 ft²
Rate of painting is 160 per Sq.ft.
Thus amount to paint entire area = 160 × 13860 = 2217600
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this should help
Donald earns $23 each weekend and Mickey earns $30.
Step-by-step explanation:
Given,
Money earned by Mickey and Donald = $53
Let,
Share of Mickey = x
Share of Donald = y
According to given statement;
x+y=53 Eqn 1
x = y+7 Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 2

Putting y=23 in Eqn 2

Donald earns $23 each weekend and Mickey earns $30.
Keywords: linear equation, substitution method
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