Answer:
<em>Similar: First two shapes only</em>
Step-by-step explanation:
<u>Triangle Similarity Theorems
</u>
There are three triangle similarity theorems that specify under which conditions triangles are similar:
If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).
If the three sides are in the same proportion, the triangles are similar (SSS theorem).
If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).
The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.
The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.
The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar
Answer:
T = 7.5
Step-by-step explanation:
One table = 4 students
? table = 30 students
To get the answer we criss-cross
30 * 1 = 4T(amount of table)
4T = 30
T = 30/4
T = 7.5
There should be 8 tables but the last table has 2 people sitting on it rather than 4.
Answer:
c
Step-by-step explanation:
the complete question in the attached figurea) we know that
T - mg = mv^2/r
The net forces equal the mass times the centripetal acceleration
So
T=50 N
m=3 kg
r=0.60 m
v = sqrt((T-mg)r/m) = sqrt((50-(3*9.8))*(.60)/3) = 2.03 m/s
the answer part a) is 2.03 m/s b) At the top the equation becomes T+mg=mv^2/r
but here the critical speed occurs when T = 0
so the critical speed is v = sqrt(rg) = sqrt (.60*9.80) = 2.42 m/s
the answer part b) is 2.42 m/s
Answer:
16
Step-by-step explanation:
6-10=-4
4*-4=-16
abs(-16)=16