Answer:
$18.28
Step-by-step explanation:
Step one:
given data
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag
let the total money be x
so mathematically
x-1/8*x= 16
solve for x
x-x/8= 16
8x-x/8= 16
7x/8=16
cross multiply
7x= 8*16
7x=128
divide both sides by 7
x=128/7
x=$18.28
Answer:
The tree is 126 inches which is 10.5 feet.
Step-by-step explanation:
36x98= 3528
3528=28x
3528/28=126/12=10.5
Answer:
.
(Expand to obtain an equivalent expression for the sphere: )
Step-by-step explanation:
Apply the Pythagorean Theorem to find the distance between these two endpoints:
.
Since the two endpoints form a diameter of the sphere, the distance between them would be equal to the diameter of the sphere. The radius of a sphere is one-half of its diameter. In this case, that would be equal to:
.
In a sphere, the midpoint of every diameter would be the center of the sphere. Each component of the midpoint of a segment (such as the diameter in this question) is equal to the arithmetic mean of that component of the two endpoints. In other words, the midpoint of a segment between and would be:
.
In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:
.
The equation for a sphere of radius and center would be:
.
In this case, the equation would be:
.
Simplify to obtain:
.
Expand the squares and simplify to obtain:
.
The diagram shows that all the sides of the rectangle are congruent. Since the perimeter all of the sides added up, all you have to do is divide the perimeter by 4.
Therefore, the perimeter, which is 16x + 24, can be divided by 4 to find the length of one side.
16x + 24/4 = length of one side. So, the length of one side is 4x + 6.
Hope this helped!