I need help with 47 and 48 please please!
1 answer:
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Answer:
"Haruto is correct because the angle is coterminal with 3pi/4 and the reference angle is pi/4."
Step-by-step explanation:
Coterminal angle:
Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
Finding if 3pi/4 is coterminal with 19pi/4:
19pi/4
= 16pi/4 + 3pi/4
= 4pi + 3pi/4
= 2(2pi) + 3pi/4
= 2(360°) + 3pi/4
= 3pi/4
Hence they are coterminal.
Reference angle:
The smallest angle that the terminal side makes with x-axis.
3pi/4 falls in second quadrant.
In 2nd quadrant, reference angle is given as = pi - 3pi/4
reference angle = pi/4.
The original dimensions of the cardboard is 21 cm × 21 cm, if a square pieces with lengths of sides of 6 cm were cut out of corners of a square piece of cardboard and the volume of the resulting box is 486 cubic centimeters.
Step-by-step explanation:
The given is,
Square pieces with lengths of sides of 6 cm were cut out of corners of a square piece of cardboard.
The volume of the resulting box is 486 cubic centimeters.
Step:1
The volume, is the given piece of cardboard was folded into an open box, we calculate side value of cardboard after cut into a square piece,
Formula for volume of cardboard is,
......................(1)
Where, w - width
h - Height
l - length
From given, V= 486 cubic centimeters
h = 6 cm ( Ref attachment)
w = l
Equation (1) becomes,
Take root on both sides
l = 9 centimeters
Step:2
Ref the attachment,
Side value of piece of cardboard
= 6 + 9 + 6
= 21
Side value of piece of cardboard = 21 centimeters
original sides of cardboard is 21 cm × 21 cm
Result:
The original dimensions of the cardboard is 21 cm × 21 cm, if a square pieces with lengths of sides of 6 cm were cut out of corners of a square piece of cardboard and the volume of the resulting box is 486 cubic centimeters.
