To solve this problem you must apply the proccedure shown below:
1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:
<u>
(50)(36)=1800in</u>
2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:
<u>
(1800)(3in)/24in=158.82</u>
3. If you can to express it in yards:
<u>
158.82/36=4.41yd</u>
<h2><u>Therefore, the answer is: 158.82 inches or 4.41 yards.</u></h2>
The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).
To find angle E: Move numbers to the right side: Combine like terms: Divide both sides by 13: The formula for angle E: Plug in the 8: The angle measure of E is 42. So angle N is automatically 42 too.
To solidify, we can try to use the formula which they give us for angle N:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then
Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so
You get the system of two inequalities:
The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.