Answer:
3/10
Step-by-step explanation:
There are 20 marbles. 6 of them are blue.
P = 6/20 = 3/10
A cube has all sides of equal length.
So let the side be x
that will be length = width = height = x
Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf. But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.
For each slice the dimensions are -
Length = x
height = x
width = 0.6
Volume of the original loaf is x³.
Volume of 5 slices is 5(x * x * 0.6).
Volume that is left after the cutting the slices is 235 inch³.
So, equation of the volume is=
x³ - 5(0.6x²) = 235
Solve for x using this equation.
x³ - 3x² = 235
x³ - 3x² - 235 = 0
Using a graph calculator to find the roots, we get
x = 7.35
Hence the dimensions of the original loaf is 7.35 inches for each side.
Please find attached the graph.
Answer:
37 and 39
Step-by-step explanation:
The total would be 180 degrees because angles on a straight line would always add up to 180.
(3x+31)+(2x-6)=180
5x+25=180
-25 -25
5x=155
/5 /5
x=31
Answer:
Step-by-step explanation:
An isosceles triangle has 2 sides that are the same length. Let's say that our triangle has the 2 sides measuring the same and the base is a different length. The vertex angle is the top angle. By the definition of an isosceles triangle, since the 2 sides measure the same length, then the angles across from those sides have the same degree measure. If we know the measure of the vertex angle, then we have
180 = vertex angle - base angle - base angle
but since the base angles are the same and we have 2 of them, then
180 = vertex angle - 2 base angles
For example, if the vertex angle measures 80 degrees, then 180 - 80 = 100. That 100 has to be split in half for each of the base angles which are the same as each other. So the vertex angle is 80 and each base is 50.