Answer:
The length of each red rod is 10 cm and the length of each blue rod is 14 cm
Step-by-step explanation:
Let
x ----> the length of each red rod in centimeters
y ----> the length of each blue rod in centimeters
we know that
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is the point (10,14)
see the attached figure
therefore
The length of each red rod is 10 cm and the length of each blue rod is 14 cm
C I think because vertical lines is (VUX) which is Vertical, undefined slope, and x=
Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Answer:
x = 97
Step-by-step explanation:
Question 2:
Recall that, the sum of all 4 angles in a quadrilateral = 360°.
This means that all the interior angles of the quadrilateral given above would sum up to 360°.
To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.
Thus:
(x + 10) + x + 59 + x = 360°
Add like terms
3x + 69 = 360
3x + 69 - 69 = 360 - 69
3x = 291
3x/3 = 291/3
x = 97
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