Answer:
Step-by-step explanation:
Nice summary problem.
<AEC
- AEC = 360 - 243.5 = 116.5
- The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.
<EAD and <ECD
Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.
<EAD = <ECD = 90 degrees
<ABC
<ABC is 1/2 the central angle. The Central angle is <AEC
- < AEC = 116.5
- <ABC = 1/2 * 116.5
- <ABC = 58.25
<ADC
There are 2 ways of doing this. You should know both of them.
<em><u>One</u></em>
All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC
- <ADC + 90 + 90 + 116.5 = 360 Add the four angles together.
- <ADC + 296.5 = 360 Combine terms on the left
- <ADC = 360 - 296.5 Subtract 238.25 from both sides
- <ADC = 63.5 Answer
<em><u>Method Two</u></em>
<ADC = 1/2 (major Arc - Minor Arc) This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.
- <ADC = 1/2(243.5 - 116.5)
- <ADC = 1/2(127)
- <ADC = 63.5
Answer:
Step-by-step explanation:
If we choose chairs having odd number in the row
no of chairs from which selection is made = 10
no of chairs to be selected = 5
no of ways = 10C₅
similarly if we choose hairs having even numbers only ,
similar to above , no of ways
= 10C₅
Total no of ways
= 2 x 10C₅
= 2 x 10 x 9 x 8 x 7 x 6 / 5 x 4x3 x 2 x 1
= 504 .
She spent $7.44 because 3.28 + 1.27 + 0.56 + 2.33 = 7.44
Answer:
35°
Step-by-step explanation:
4x+11 = 5x-24
5x-4x=x
x=24+11
x=35
Answer:
It is 0.873 but rounded to hundredth is 0.87
Step-by-step explanation:
expression: (3.24-3/8+7/9-0.15) divided by 4
Solve: (3.24+7/9-3/8-0.15) divided by 4
= (3.24+0.78-0.375-0.15) divided by 4
=3.49/4
-0.873 = 0.87 to the nearest hundred
degress celcius
