Here's some guidelines to help you:
For 1, 4, 5, and 6, they are 30-60-90 triangles. What's that you may ask? Well, it means that the sides have a predetermined length when one side is given. In #1 for example, you have a side of 11sqrt3, this means that "n" is 11 because in a 30-60-90 triangle, the longer side is the sqrt3 times the length of the shorter side. So to get the shorter side, we divide by sqrt3 to get 11. "m", or the hypotenuse, can be determined by taking twice the length of the shorter side. Since we figured out earlier that the shorter side is 11, 11 times 2 is 22. So the answer for #1 is n=11, m=22.
For 2 and 3, they are 45-45-90 triangles, triangles where the two lengths are the same and the hypotenuse is either leg length times sqrt2. In problem #2 for example, "y" must be 17 because one leg length is 17. "x", or the hypotenuse, is equal to 17sqrt(2) because 17 times sqrt(2).
You can apply all these rules to the other 4 problems I didn't explain.
Hope this long explanation clears your doubts!
Answer:
1445.6 hours
Step-by-step explanation:
Distance between New York and San Francisco = 2902.8 miles (checked online)
Average speed of car = 2 mi/hr
Average speed of jet = 500 mi/hr
Time taken by Jet:
Time taken = Distance / speed
Time taken = 2902.8 / 500
Time taken = 5.8056 = 5.8 hours
Time taken by Car :
Time taken = Distance / speed
Time taken = 2902.8 / 2
Time taken = 5.8056 = 1451.4 hours
Time difference :
1451.4 - 5.8 = 1445.6 hours
Answer:
It is a right triangle, the right angle is at the point (-3, 5)
Step-by-step explanation:
The first step is to locate the points of the vertices in a plane, in this case they are (0.10), (-8.8) and (-3.5). The desmostration of this is shown in the attached image.
As we can see it is formed a right triangle (the figure outlined in red), and the rigth angle is the one at the point (-3,5).
Hello!
First off, please write y2 + y as y^2 + y. The " ^ " symbol denotes exponentiation, whereas y2 is meaningless.
To find the constant term in question, take half of the coefficient of y (that is, take 1/2) and square it. Then we have y2 + y + 1/4.
The constant term in question is 1/4.
The standard form: Ax + By = C
y = 90 - 15x <em>add 15x to both sides</em>
<h3>15x + y = 90</h3>
