Based on the mass of the circle and the triangle, we can find the mass of the square to be<u> 3.33 grams</u>
<h3>Mass of each side of hanger </h3>
Assuming the mass of the square is x, the equation for the first side is:
= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)
= ( 3 x 2) + ( 2 x 4) + ( 6 × x)
= 6 + 8 + 6x
Mass of other side:
= (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)
= ( 2 x 2) + ( 5 x 4) + ( 3 × x)
= 4 + 20 + 3x
<h3>Mass of square </h3>
As both sides are equal, equate both formulas to find x:
6 + 8 + 6x = 4 + 20 + 3x
6x - 3x = 24 - 14
3x = 10
x = 10/3
x = 3.33 grams
In conclusion, each square is 3.33 grams.
Find out more on problems requiring equating at brainly.com/question/20213883.
Answer:
Increase in the length of one side = 3.8 ft
Step-by-step explanation:
Yossi has garage whose area is 280 ft²
After rebuilt their is increment in area by 50%
New Area = 280 × 150% = 420 ft²
Also we know that Area of Square = (Length) × (Length)
⇒ Length of Newly built garage = √420 = 20.5 ft
and Length of Originally garage = √280 = 16.7 ft
⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft
Answer:

Step-by-step explanation:
Given the center of sphere is: (-2, 2, 3)
Passes through the origin i.e. (0, 0, 0)
To find:
The equation of the sphere ?
Solution:
First of all, let us have a look at the equation of a sphere:

Where (
) are the points on sphere.
is the center of the sphere and
is the radius of the sphere.
Radius of the sphere is nothing but the distance between any point on the sphere and the center.
We are given both the points, so we can use distance formula to find the radius of the given sphere:

Here,

So, Radius is:

Therefore the equation of the sphere is:

Answer:
Slope
Step-by-step explanation:
Slope is the steepness of a straight line. It is the rise/run of a line.