Answer:
2.5, -1.25, 0.625
Step-by-step explanation:
(a) Length of the height is 2.732 m
(b) Length of the base is 5.466 m
<u>Explanation:</u>
An image is attached for reference.
(a)
In ΔAOB,

In ΔBGD,

According to the figure, BG = OE = 1.732 m
Height of the tent, AE = AO + OE
= 1 m + 1.732 m
= 2.732 m
(b)
DF = ?
In ΔAOB,

According to the figure, OB = GE = 1.733 m
In ΔBGD,

According to the figure, DE = DG + GE
DE = 1 m + 1.733 m
DE = 2.733 m
Length of the base, DF = 2 X DE
DF = 2 X 2.733 m
DF = 5.466 m
The point that is a solution to the system of inequalities is (5, 0)
<h3>How to determine the points on the solution?</h3>
The system of inequalities is given as:
y ≤ 2x + 2
y ≥ -5x + 4
Next, we test the given options.
From the list of options, we have
(x, y) = (5, 0)
Substitute (x, y) = (5, 0) in y ≤ 2x + 2 and y ≥ -5x + 4
y ≤ 2x + 2
0 ≤ 2 * 5 + 2
0 ≤ 12 -- this is true
y ≥ -5x + 4
0 ≥ -5 * 5 + 4
0 ≥ -21 -- this is true
Since both results are true, then it means that the point that is a solution to the system of inequalities is (5, 0)
Read more about system of inequalities at:
brainly.com/question/24372553
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<u>Complete question</u>
Which point is a solution to the system of inequalities graphed here? y ≤ 2x + 2
y ≥ -5x + 4
A. (1,6)
B. (-6,0)
C. (0,5)
D. (5,0)
There is 294 yellow counters that are in Bianca's sack.
This is just a shape with a peace of it cut out so if we imagine how would this figure be before it was cut. it would give us an 4×12×6 cuboid (we can use that) so first, lets caculate the volume of the bigger cuboid

then we need to caculate the valume of the two smaller cuboids.


by subtracting the valume of the bigger cuboid from our two smaller ones we will have the valume of the three-dimensional figure.
65+96=160
288-160=128