Answer:
7/20..i hope its correct
Step-by-step explanation:
all = 8+5+7
=20
red marbles / all = 7/20
Answer:
The length of the third side could be 9 ft
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
In this problem
Let
c-----> the length of the third side, in feet
Applying the Triangle Inequality Theorem
1)
------->
2)
----->
so
The length of the third side must be greater than 4 ft and less than 16 ft
Remember that
The scalene triangle has three different sides
therefore
The length of the third side could be 9 ft
The equation stems from the principle concept of Hooke's Law. After derivation, the general equation for finding the work of a stretch spring is written below:
W = k[(x₂ - x₁) + (x₁ - xn)]
where
k is the spring constant
xn is the natural length of the spring
x₁ is the length after stretching
x₂ is the length after stretching even further
Suppose the spring was only stretched once, then x₁ = x₂. The equation is simplified to:
<em>W = k(x₁ - xn)</em>
5 guests are late, making 42 present to split 7 tables. 42/7=6 x=6
Note that the equation of the circle is
(x-h)² +(y-k)² =r²
where centre is (h,k)
the equation of the circle based on the information given
(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)
substitute into the equation
(3-3)² +(-2-4)² =r²
r=6 or r=-6
since r is radius, we reject r=-6 since radius must be nonnegative.
the radius is 6