Answer:
see the explanation
Step-by-step explanation:
we know that
The<u><em> Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the triangle inequality theorem
Let
c ----> the measure of the length of the third side
1) 
2) 
so
The solution for the length of the third side is the interval (2,22)
All real numbers greater than 2 centimeters and less than 22 centimeters
Answer:
3x + y = -1
Step-by-step explanation:
y-5=-3( x+2)
once you distribute, you get y-5=-3x-6
then, add 5 to each side and get y=-3x-1 (this is slope intercept form)
finally, add 3x to each side to get 3x+y=-1 (standard form: Ax + By = C)
Answer:
$520.96
Step-by-step explanation:
This is a compound shape made of 1 rectangle and two semi circles which makes 1 full circle.
Area of Rectangle = L x W
Area of circle is =pi x radius squared
Area of Rectangle is 5ft x 4ft = 20 ft squared.
Area of circle is = 12.56 ft squared
- Diameter of the circle is 4ft, radius is 1/2 diameter
- Radius is 2ft, 2 x 2 = 4ft
(pi) 3.14 x 4ft = 12.56 ft squared.
As it is a compound shape you need to add
Area of Square + Area of circle =
20 ft squared + 12.56 ft squared =
Total Area of window is 32.56 ft squared
$16 = 1 square foot
$16 × 32.56 = $520.96
In your question which ask for the how its possible for the two triangles to intersect in one, two, three, four, five, six points but not seven points. Its because the triangles has only 3 sides which means that the intersection that could from in the two is less than 7 or maximum of 6
Given that,
velocity, v = 7.8 ft/s
Radius, r = 1.25 ft
To find,
a. What is the acceleration of the bucket?
b. What is the velocity if the acceleration is 25 ft/sec²?
Solution,
(a) The centripetal acceleration is given by :
Put v = 7.8 ft/s and r = 1.25 ft
(b) Put a = 25 ft/s² to find velocity.
Hence, this is the required solution.
