Answer:
700 km
Step-by-step explanation:
Distance covered by Bunty = 500 km
Distance covered by Bubbly = 200 km
Displacement between them = 500 + 200 km = 700 km
This means Bubbly has to cover a distance of 700 km to reach Bunty.
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
Answer:
first, find the area of the circle cut.
r= 3 feet
π=3.14
area of a circle= πr²= 3.14×3×3= 28.26 sq.feet
Now, find the area of the rectangle and subtract it by the area of the circle.
area of rectangle = l×b
length of the rectangle= 16 feet
breadth/width of the rectangular garden= 14 feet
area= 16×14= 224 sq. feet
now, area of the garden surrounding the koi pond= 224-28.26
=195.74 sq. feet
9514 1404 393
Answer:
∠K = ∠M = 55°
Step-by-step explanation:
The two marked angles are opposite the sides marked as congruent. That means the angles are congruent, so we have ...
4x -1 = 2x +27
2x = 28 . . . . . . . . add 1-2x to both sides
x = 14
4x -1 = 4(14) -1 = 55
The measures of the angles are ...
∠K = ∠M = 55°
