Answer:
He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.
The Factors (excluding 1) are;
2, 3, 4, 6, 9, 12, 18
Using these therefore he can divide them;
- Into 3 groups each with 12 people.
- Into 4 groups each with 9 people.
- Into 6 groups each with 6 people.
- Into 9 groups each with 4 people.
- Into 12 groups each with 3 people.
Answer:
25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.
27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :
4cm/sin(60) = AC/Sin90
AC = 4.62 cm
29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees
31. Angle Y = 90 degrees
this value is already given, it's the little square that indicates a 90 degrees angle.
26. 5 cm
28. 90 degrees
30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm
32. use pythagoras again, square root(5^2 - 3^2) = 4
So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.
Answer:
871/13=67 469/67 =7 so 7 hours
<span>informal proofs are usually in paragraph form, while formal proofs are numbered, like this:
Given: a=b, b=c
Prove: a=c
1. a=b, b=c 1. Given
2. a=c 2. transitive property
the first line is usually the given, the middle lines are statements which help you get to your proof, and the last line is your proven statement. next to your statements, you have to give reasons why the statement is true, like a=c is proven because of the transitive property</span>
