Answer:each session of body sculpting workouts burns 51 calories.
Each session of Yoga workouts burns 83 calories.
Step-by-step explanation:
Let x represent the number of calories that she burnt doing one body sculpting workout session.
Let x represent the number of calories that she burnt doing one Yoga session.
Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that
2x + 5y = 517 - - - - - - - - - -1
This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that
2x + y = 185 - - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
4y = 332
y = 332/4 = 83 calories
Substituting y = 83 into equation 2, it becomes
2x + 83 = 185
2x = 185 - 83 = 102
x = 102/2 = 51 calories
Answer:
h=3in
Step-by-step explanation:
A=a+b
2h
Solving forh
h=2A
a+b=2·13.5
3+6=3in
The required distance is 16.40 km.
This problem can be solved if we know the concept of speed, time and distance.
We know the speed=
To solve the problem let us assume that the total distance between the workplace and home is x km.
Given that his speed while going from home to work is 45 mph and while returning is 35 mph.
Time for the complete journey is
.
Now according to question;

⇒
⇒
⇒ 
∴ 
So, the required distance is 16.40 km.
To learn more about speed, distance and time visit the link:
brainly.com/question/15256256
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Answer:
(3√2, 1+3√2) ≈ (4.243, 5.243)
Step-by-step explanation:
The line has a slope of 1 and goes through the center of the circle, so will intersect the circle at the point ...
(6, 6)/√2 +(0, 1) = (3√2, 1+3√2) ≈ (4.243, 5.243)
Answer:
72 Centimeters
Explanation:
Formula for area: 1 /2 b · h
b = Base (18 cm.)
h = height (8 cm.)
1 / 2 Base: 9
height: 8
9 · 8 = 72
Therefore the area of the triangle is 72 centimeters