Answer:
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Distance from Laura's home to her job = 4 1/2 miles
Time when Laura starts to walk to her job : 9:00 a.m.
Time when Laura is scheduled to start working : 11:00 a.m.
2. Will she arrive at her job on time?
Time Laura has to complete the distance from her home to her job = 2 hours (11 -9)
Speed that Laura need to walk to arrive to her job on time = Distance from Laura's home to her job/Time Laura has to complete the distance from her home to her job
Speed that Laura need to walk to arrive to her job on time = 4 1/2 miles/2 hours = (4 1/2)/2 = (9/2)/2 = 9/2 * 1/2 = 9/4 = 2 1/4
Speed that Laura need to walk to arrive to her job on time = 2 1/4 miles per hour.
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
For most of these questions, all you would have to do is add the angles together and or subtract the larger angle from the smaller one to find the other angle. So in the first case.
You would add the angles, 26 degrees and 60 degrees to find the angle KLM which is about 90 degrees a right angle, in this case it would be 86 degrees.
Similarly, for the other question, take the larger angle, 145 degrees and subtract 61 degrees to solve for the angle that will also add to give 145 degrees,in this case it would be 84 degrees.
<h3>
Answer: 4368 square feet</h3>
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Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
- In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
- In the upper right corner, we have an area of 70*6 = 420
- In the lower left corner, we have an area of 50*8 = 400
- In the lower right corner, we have an area of 6*8 = 48
Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368