Answer:
Option(D)
Step-by-step explanation:
Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.
For the two triangles to be similar, it must satisfy the similarity condition that is:
Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.
Therefore, Not all the angles are congruent, thus the triangles cannot be similar.
Answer:
C. Sample: All names are written on pieces of paper and dropped into a container. Three hundred names are drawn.
Step-by-step explanation:
please mark this answer as brainlest
Given that the volume of the aquarium is 20m^3.
Volume = Area of Base x height
Area of Base = Volume / height = 20/h
Given that the aquarium has a square base.
Area of square = l^2
Thus, the length of the base of the aquarium is

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.
Thus, the total perimeter of the frame is given by

Area of the four side faces of the aquarium is 4 times the length of the base times the height =

Total area to be covered by grass is the base and the four side faces and is given by

Cost of the entire metal frame =

Cost of the entire grass =

Therefore, total cost in terms of the height, h, is given by
Answer:
4pq(p³+q³)
Step-by-step explanation:
Exactly 5 game would be when 4 wins and 1 loss of a particular person
loss has to be one of the first 4 games
A wins: qp⁴ + pqp³ + p²qp² + p³qp
= qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴
B wins: pq⁴ + qpq³ + q²pq² + q³pq
= pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴
A wins or B wins:
4pq⁴ + 4qp⁴ = 4pq(q³+p³)
So,
To find the median, arrange all the numbers from least to greatest.
10, 31, 36, 36, 38, 42, 47, 48, 49, 52
The middle two numbers are 38 and 42. Take their average.
40
40 is the median of 10, 31, 36, 36, 38, 42, 47, 48, 49, and 52.