Diane has 380 coins (rounded to the nearest 10)
The ordered pair which is a solution to the system of linear equations is: A. (3, 0).
<h3>How to determine the solution?</h3>
In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;
For ordered pair (3, 0), we have:
y = −x + 3
0 = -3 + 3
0 = 0 (True).
2x − y = 6
2(3) - 0 = 6
6 - 0 = 6
6 = 6 (True).
For ordered pair (3, -1), we have:
y = −x + 3
-1 = -3 + 3
-1 = 0 (False).
For ordered pair (0, 3), we have:
y = −x + 3
3 = 0 + 3
3 = 3 (True).
2x − y = 6
2(0) - 3 = 6
0 - 3 = 6
-3 = 6 (False).
For ordered pair (-1, 3), we have:
y = −x + 3
3 = -1 + 3
3 = 2 (False).
Read more on ordered pairs here: brainly.com/question/12179097
#SPJ1
Answer:
C. Translation
Step-by-step explanation:
This is because the triangle is still in the same position, however, it has been shifted to the right five and up two.
Hope this helps!
All the love, Ya boi Fraser :)
A regular polygon has ten (10) equal sides ( since it is regular).
We are given with the perimeter value which is 100 units and the perimeter formula is P = 10a
Solving for a (the side measurement), we have:
100 = 10a
a= 100/10
a =10
We can now proceed in solving the area and the formula is shown below:
Area = 5/2 a√ (5+2√5)
Area = 5/2 * 10√(5+2√5)
Area = 76.94 square units
The answer is 96.94 square units.
We will see that the cube must be 10.23 inches tall.
<h3>
How tall is the cube?</h3>
The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:
V = (4/3)*3.14*R^3
In this case, the radius is 4 inches, so we can write:
V = (4/3)*3.14*(4 in)^3 = 267.95 in^3
Then the volume of the 4 spheres is:
4*267.95 in^3 = 1,071.79 in^3
The volume of a cube of side length S is given by:
V = S^3
Then we must have:
S^3 = 1,071.79 in^3
S = ∛(1,071.79 in^3) = 10.23 in
We conclude that the cube is 10.23 inches tall.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109