Answer:
The volume is 196 cubic yards
Step-by-step explanation:
Given
Required
The volume
The volume is given as:
Where:
So, the equation becomes
Question # 14
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am less than 20.
- So the number 'x' must be less than 20 i.e. x < 20
I am more than 13.
- So the number 'x' must be greater than 13 i.e. x > 13
I am less than 17.
- So the number 'x' must be less than 17 i.e. x < 17
Finally:
I am 4 more than 12
i.e. 12+4 = 16
Thus, the number is x = 16
Question # 15
Part a)
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am more than 10.
I am less than 20.
I am more than 12.
I am less than 15.
As the numbers left after all the conditions are fulfilled are 13 and 14.
- But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.
So, from the remaining number 13 and 14;
14 > 13
Thus, the number x = 14
Part b)
Drawing the number 14 in the place value:
Chart
Tens Ones
1 4
Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the circumference (C) of the wheel
C = πd (d is the diameter )
= 3.14 × 8 = 25.12 cm
Now divide the distance travelled by the circumference.
times rotated = 12560 ÷ 25.12 ≈ 500
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(2)
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Find r by using the circumference (C)
2πr = 50.24 ( divide both sides by 2π )
r = 50.24 ÷ 6.28 = 8 , then
A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )
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(3)
C = πd = 3.14 × 30 = 94.2 ≈ 94 m
4/15
Multiple the numerator by numerator, and denominator by denominator, then simplify
The unit rate is 5cm per 1min
5:1
