Answer:
-5
Step-by-step explanation:
Coordinate of A = -7
Coordinate if B = 5
Distance of AB = |-7 - 5| = |-12| = 12
We are asked to find the coordinate of the point that would be ⅙ from the A to B, which is ⅙ of AB.
Let's find what ⅙ of AB is.
AB = 12
Therefore, ⅙ of AB = ⅙*12 = 2.
From point A (-7), we move 2 points towards B which will give us ⅙ from A to B.
The coordinate = -7 + 2 = -5
-5 is the coordinate of the point with a fraction distance of ⅙ from A to B.
the square root of 300 is 17
Answer:
87.5 square inches
Step-by-step explanation:
The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.
Area of the belt knuckle = area of the 4 triangles + area of the rectangle
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 9 inches
height (h) = 2.5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*9*2.5)
= 22.5 inches²
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 4 inches
height (h) = 5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*4*5)
= 20 inches²
✔️Area of the rectangle = l*w
l = 9 inches
w = 5 inches
Area = 9*5 = 45 inches²
✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches
Answer: Number 1 is c=89 ft
Number 2 is b=3 cm
Step-by-step explanation: a²+b²=c²
For number 1, 39 ft is a and 80 ft is b so
39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921
7921=c² and the square root of 7921 is 89 so c=89 ft
For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²
3.4² so 3.4x3.4 which is 11.56
1.6² so 1.6x1.6 which is 2.56
11.56-2.56=c² and 11.56-2.56=9
Square root of 9 is 3 so b=3
So number 2 answer is b=3 cm
I hope this helps
