Solve for a and Part B because I just got confused
1 answer:
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Answer:
A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.
Solution given;
diameter [d]=40cm
centre angle [C]=70°
(a) Find the perpendicular distance be tween the chord and the centre of the circle.
Answer:
we have
the perpendicular distance be tween the chord and the centre of the circle=[P]let
we have
P=d Sin (C/2)
=40*sin (70/2)
=22.9cm
<u>the</u><u> </u><u>perpendicular distance be tween the chord and the centre of the </u><u>circle</u><u> </u><u>is</u><u> </u><u>2</u><u>2</u><u>.</u><u>9</u><u>c</u><u>m</u><u>.</u>
(b) Using = 3.142, find the length of the minor arc.
Solution given;
minor arc=
=<u>2</u><u>4</u><u>.</u><u>4</u><u>4</u><u>c</u><u>m</u>
<u>the length of the minor arc.</u><u> </u><u>is</u><u> </u><u>2</u><u>4</u><u>.</u><u>4</u><u>4</u><u>cm</u><u>.</u>
B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.
If XY = 12 cm, find the area of triangle XYZ.
Solution given:
XY=12cm
XO=15/2cm
XZ=2*15/2=15cm
Now
In right angled triangle XOY [inscribed angle on a diameter is 90°]
By using Pythagoras law
h²=p²+b²
XZ²=XY²+YZ²
15²=12²+YZ²
YZ²=15²-12²
YZ=
:.
base=9cm
perpendicular=12cm
Now
Area of triangle XYZ=½*perpendicular*base
=½*12*9=54cm²
the area of triangle XYZ is <u>5</u><u>4</u><u>c</u><u>m</u><u>²</u><u>.</u>
Answer:
Amount of money Brain has is 11.84 after his shopping trip.
Step-by-step explanation:
Given:
cost of books = 15.99 each
Cost of 2 books =
Cost for DVD = 19.95
Cost of Magazine = 2.50
Money he gets return back for jacket = 42.59
Solution:
We will first find the total amount used for shopping.
Total Shopping done = Cost of 2 books + Cost for DVD + Cost of Magazine =
Now we will find the amount left after shopping which will be equal to the total amount used for shopping minus money he got in return for jacket.
Now net amount Left after shopping = Total Shopping done - Money he gets return back for jacket =
Hence amount of money Brain has is 11.84 after his shopping trip.