Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
Answer: Insert a 6. The number divisible by 12 is 14<em><u>6</u></em>4
Step-by-step explanation: Start by dividing 12 into the first two digits.
I am using old-fashioned long division.
<u>1 2</u>
12 ) 14 <u><em>6</em></u>
-<u>12</u>
26. this is the remainder, The next digit has to be a number that when divided by 12 will leave a remainder, that when paired with 4, will be evenly divisible by 12.
6 is that number . When you "bring down" the 6, you will be dividing 26÷12. a 2 goes into the quotient, and in the next step 24 is subtracted from 26; the remainder is 2.
Bring down the 4 and divide 12 into 24. The result is 2 as the quotient. 2 ×12 =24 . 24- 24 is 0
1464 ÷ 12 = 122
Answer:
a) BOC and AOD
b) BOA and AOE
c) BOE and EOD
d) BOA and AOD
e) AOE and EOD
Step-by-step explanation:
An obtuse angle is an angle that has more than 90° and vertically opposite angles are angle formed by two lines crossed. So, Obtuse vertically opposite angles are BOC and AOD
Adjacent angles are angles in which one angle is beside the other and complementary angles are angles whose sum is equal to 90°, so, a pair of adjacent complementary angles are BOA and AOE.
Supplementary angles are angles whose sum is equal to 180°, so BOE and EOD are equal suplementary angles and BOA and AOD are unequal supplementary angles
Finally, AOE and EOD are adjacent angles that don’t form a linear pair.