Answer:
second option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
When a triangle is a 45-45-90 triangle, the following rules apply:
-the 2 legs are equal lengths
- the length of the hypotenuse is: the square root of 2 x the length of a leg.
- the length of the leg is: hypotenuse divided by the square root of 2.
if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg.
the square root of 2 is <span>1.41421356237.
10 divided by </span>1.41421356237 is <span>7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!</span>
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) One way you can try to identify the pattern is to look for the differences between the images shown, then divide those differences by 2. For example, the total number of vertical dots is 2, then 4 in patterns 2 and 4. This suggests the total number of vertical dots is equal to the pattern number..
The total number of horizontal dots is 4, then 6 in patterns 2 and 4. This suggests that the number of horizontal dots increases by 1 in each pattern. This would mean pattern 1 would have 3 total horizontal dots and 1 total vertical dot. It will look like one row of 3 dots.
Pattern 3 will have 5 total horizontal dots and 3 total vertical dots. The sequence of patterns will look like the attachment.
__
b) The total number of dots in each pattern is 2×(pattern number) +1. Then the number of dots in Pattern 7 will be 2×7 +1 = 15 dots.
Answer:
Their were 42 kids on each bus.
Step-by-step explanation:
You have to divide the number of kids(210) by the number of buses.
It gave you the equation for distance. Just plug in the known values and find the answer.
L,b = 100,0.01
d = sqrt(100/(4*pi*0.01)) = sqrt(796.178) = 28.217
