Question 50683: please answer something you dont have to do all of them anything at all would be GREATLY appreciated. Thank you so so much. I'm having trouble.
1)find the exact length of the side of a square if the length of a diagonal is 10.
2) the area of a triangleis 24 and it's base is 8. Find the altitude to that base.
3)An angle 13.6 degrees is smaller than its complement find the measure of the angle
4)a nine by 12 rectangle is enlarged by a scale factor of 7/3. Find the demensions of the new rectangle.
5) the shorter side of one rectangle is 4, and the shorter side of a similar rectangle is 12. If the area of the smaller rectangle is 24, find the area of the larger rectangle.
6) state one property that distinguishes:
a) a rectangle from a parallelogram; b) a rhombus from a parallelogram;
7) a circle of radius 9 is inscribed in a square. Find the area of the region b/w the circle and the square. Draw a correct figure.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! please answer something you dont have to do all of them anything at all would be GREATLY appreciated. Thank you so so much. I'm having trouble.
1)find the exact length of the side of a square if the length of a diagonal is 10.
S^+S^2=D^2=10^2=100
2S^2=100
S^2=50
S=SQRT(50)=7.07
2) the area of a triangleis 24 and it's base is 8. Find the altitude to that base.
A=0.5BH
24=0.5*8H
H=24/4=6
3)An angle 13.6 degrees is smaller than its complement find the measure of the angle
ANGLE=A...SUPPLEMENT=180-A
A=180-A-13.6
2A=166.4
A=83.2
4)a nine by 12 rectangle is enlarged by a scale factor of 7/3. Find the demensions of the new rectangle.
L=12......FACTOR=7/3.....NEW L'=12*7/3=28
W=9......................NEW W'=9*7/3=21
5) the shorter side of one rectangle is 4, and the shorter side of a similar rectangle is 12. If the area of the smaller rectangle is 24, find the area of the larger rectangle.
AREA OF SMAALER RECTANGLE=4*L=24......L=24/4=6
SINCE THE RECTANGLES ARE SIMILAR THEIR SIDES ARE IN PROPORTION
6/4=?/12............?=6&12/4=18
AREA OF BIGGER RECTANGLE=12*18=216
6) state one property that distinguishes:
a) a rectangle from a parallelogram;
ANGLES ARE 90 DEGREES IN RECTANGLE,WHEREAS THEY ARE NOT SO IN A PARALLELOGRAM
b) a rhombus from a parallelogram;
ALL 4 SIDES ARE EQUAL IN RHOMBUS,WHERE AS IN A PARALLELOGRAM ONLY OPPOSITE SIDES ARE EQUAL
7) a circle of radius 9 is inscribed in a square. Find the area of the region b/w the circle and the square. Draw a correct figure.
SQUARE SIDE=S=DIAMETER OF CIRCLE=9*2=18
AREA OS SQUARE=S^2=18*18=324
AREA OF CIRCLE=3.14*9*9=262.44
AREA BETWEEN THE TWO=61.56
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