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:
22300 and 29700
Step-by-step explanation:
Add 3700 to 26000
Subtract 3700 from 26000
Answer:
3 ones
2 tenths
8 hundredths
I'm sorry if I misunderstood.
Good luck though! :)
Please add Brainliest if you'd like, not that it matters.
Answer:
11.218 - 11.812 feet
Step-by-step explanation:
The factory manager does not want to use the rods from the bottom 20% and the top 15%. In other words, the factory manager doesn't want percentile 0-20 and percentile 85-100.
To solve this question, you need to know the z score of percentile 20 and 85.
Z-score of percentile 20 is -0.94, then the calculation will be :
x= 11.5 feet+ 0.3 feet* z-score
x= 11.5 feet+ 0.3 feet* (-0.94)
x= 11.5 feet- 0.282 feet
x= 11.218 feet
Z-score of percentile 85 is +1.04 then the calculation will be :
x= 11.5 feet+ 0.3 feet* z-score
x= 11.5 feet+ 0.3 feet* 1.04
x= 11.5 feet+ 0.312 feet
x= 11.812 feet
The range for the rod will be 11.218 - 11.812 feet