Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of 
to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' = of the sides of ΔABC
Area of ΔA'B'C' = 
Area of ΔABC > Area of ΔA'B'C'
Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
ΔABC ~ ΔA'B'C'
Therefore, Option (3) and Option (6) are the correct options.
Answer:
Step-by-step explanation: Uhh I have no idea how I got this right because I guessed but
small: 3-5 pounds 0.25+1.2+2.7
Medium: 5-8 pounds 0.25+0.25+1.2+1.2+1.2+1.2
Large 8-10 pounds 0.25+1.2+1.2+1.2+2.7+2.7
Hope I helped this is my first time answering a question have a good day everyone
Answer:
There is a 45.05% probability that the selected person is a right-handed female.
Step-by-step explanation:
We have these following probabilities
A 50% probability that a person is a male
A 50% probability that a person is a female.
A 12.6% probability that a male is left-handed.
A 9.9% probability that a female is left-handed.
If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:
50% are female.
9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.
So
There is a 45.05% probability that the selected person is a right-handed female.
Answer:
0.64 seconds
Step-by-step explanation:
In the equation provided:
h = −16t2 + 4t + 4
h is the height of the ball and t is time. Since we want to find the time when the ball touches the floor, then height is 0. This leaves us with the equation
-16
+ 4t + 4 = 0
This is a quadratic equation can be solved with the following formula:
where a=-16
b=4
c=4
Solving for t we will find two different results:
Since time can't be negative, we discard t2 and choose t1.
Since it is required to answer in the nearest hundredth, we round the result to t=0.64 seconds.
