Answer:
Step-by-step explanation:
Statements Reasons
1). ΔABC with side lengths a, b, c, and h 1). Given
2). Area = 
2). Triangle area formula
3). 
3). Definition of sine
4). asin(C) = h 4). Multiplication property of
equality.
5). Area = 
5). Substitution property
6). Area = 
6). Commutative property of
multiplication.
Hence, proved.
Both cyclist are moving apart at a speed of 9.434 mi/hr.
<h3>
What is velocity?</h3>
Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a basic idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).
To know more about Velocity, visit;
brainly.com/question/18084516
#SPJ4
Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
The question is missing some important details required to answer the question. I found a similar question, so I will answer using this details. If there is any differences in the details, you can still use my working by changing the value given:
Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an idditional $0.11 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.07 per mile driven.
How many miles would Abdul need to drive for the two plans to cost the same?
Answer:
275 miles
Step-by-step explanation:
Let the distance travel be X
First plan:
Initial fee: 38
Per mile: 0.11
So the total cost is
C1 = 38 + 0.11X
Second plan:
Initial fee: 49
Per mile:0.07
So the total cost is
C2 = 49 + 0.07X
Since the question asked about when the total cost be the same, we can say that C1 = C2
C1 = C2
38 + 0.11X = 49 + 0.07X
0.11X - 0.07X = 49 - 38
0.04X = 11
X = 11/0.04 = 275
At 275 miles, the cost will be the same.
