Answer:
Total surface area = 184.86 cm²
Step-by-step explanation:
If we see the the diagram, we can find that the net of this triangular prism includes:
2 triangles each with the dimension of one side 4.3cm, second side 5.2cm and third side 6.75 cm
3 rectangles each with the dimensions of (6.75×10)cm, (5.2×10)cm and (4.3×10)cm
Surface area of triangle with a,b and c side:
s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)
Area = 11.18cm²
For 2 triangle:
Area = 22.36cm²
Surface Area of Rectangles:
Area = (6.75×10)cm + (5.2×10)cm + (4.3×10)cm
Area = 162.5 cm²
Total surface area = area of 2 triangle + area of 3 rectangles:
Total surface area = 22.36 + 162.5
Total surface area = 184.86 cm²
Answer:
The number of viewers Network A expects will watch their show is 1.4 million viewers.
Step-by-step explanation:
The expected value is calculated by multiplying the possible outcomes by the probability of their occurrence and adding the results
Therefore, we have the expected value given by the following expression;
Estimated network A viewers where network B schedule top show = 1.1 million viewers
Estimated network A viewers where network B schedule a different show = 1.6 million viewers
Probability that Network B will air its top show = 0.4
Probability that Network B will air another show = 0.6
We therefore have;
Expected value, E of Network A viewers is therefore;
E = 1.1 × 0.4 + 1.6 × 0.6 = 0.44 + 0.96 = 1.4 million viewers.
Network A expects 1.4 million viewers will watch their show.
Probability hit=40%=4/10
probability no hit=1-p (hit)=1-4/10=6/10
probability= p(hit)+p(hit)+p(hit)+p(hit)+p(hit)+p (no hit)+p (no hit)+p (no hit)
probability=4/10×4/10×4/10×4/10×4/10×6/10×6/10×6/10
=0.0022
( I think but I'm not 100% sure)
Answer:
A translation by 1 units to the right and 3 units down.
Step-by-step explanation:
The solution is (1,3). This is where the two lines intersect.
