Let's begin by listing the first few multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44. So, between 1 and 37 there are 9 such multiples: {4, 8, 12, 16, 20, 24, 28, 32, 36}. Note that 4 divided into 36 is 9.
Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:
<span>How many multiples of 4 are there in {n; 37< n <101}? We could list and then count them: {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval. Try subtracting 40 from 100; we get 60. Dividing 60 by 4, we get 15, which is 1 less than 16. So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:
1000
-40
-------
960
Dividing this by 4, we get 240. Adding 1, we get 241.
Finally, subtract 9 from 241: We get 232.
There are 232 multiples of 4 between 37 and 1001.
Can you think of a more straightforward method of determining this number? </span>
Answer: 45°
Step-by-step explanation:
Diameter= 16m
Radius= 16/2 = 8m
The area of the circle= πr^2
= π8^2
= 64π square metres.
An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.
The circumference = 2πr = 16π,
This gives us an arc length of 2π metres.
But since we are looking for the the angle.
In degrees: 360/8 = 45°
Answer:
15°
Step-by-step explanation:
x= 89-44-30= 15°
:))
Answer:
2. it's a rectangle so Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
3. same size same shape
Step-by-step explanation:
Answer:
{4, 4.5, 5, 5.5, 6, 6.5, 7} {0, 1, 2, 3, 4, 5, 6}. 4 ≤ h ≤ 7 0 ≤ d ≤ 6. 4 ≤ d ≤ 7. {4, 5, 6, 7}. 0 ≤ h ≤ 6 0 ≤ h ≤ 7
