Answer: a) similar, SSS similarity
<u>Step-by-step explanation:</u>
ΔLSR sides <em>in order from least to greatest</em> are: 24, 33, 36
ΔLNM sides <em>in order from least to greatest</em> are: 112, 154, 168
If the triangles are similar then their corresponding sides will be proportional

Their corresponding sides are proportional so
ΔLSR ≅ ΔLNM by Side-Side-Side Similarity Theorem
Answer:
5656 m^3
Step-by-step explanation:
Volume of a cylinder can be calculated using below formula
V = πr²h
Where
h= height =18m
r= radius= radius = 10m
If we substitute the values we have
V = π × (10)²× 18
= 5655.6 m^3
= 5656 m^3
Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have

here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get

or
t² = 75.433
or
t = 8.68 seconds
Answer:
60 days after today
Step-by-step explanation:
You need the least common multiple of 10 and 12.
10 = 2 × 5
12 = 2² × 3
LCM = 2² × 3 × 5 = 60
Answer: 60 days after today
You should find the area under the curve. Which will give you multiple shapes. That are 3 triangles and one rectangle. Then use the Rule of the area of the triangle which is 1/2 × base × height then lastly. When you find the area for each shape you then find the sum of all the distance to give you the full area under the curve.