Answer:
Pythagorean theorem: a^2 + b^2 = c^2
1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.
a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 81 --> sqaure root to find the answer basically.
a = 9
- we put AD as a so AD = 9
final answer : 9
2. to find AC, simply add AD and DC.
9 + 16 = 25
final answer: AC = 25
3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.
-- let me know if you need any further explanations.
Answer:
21 boxes of books
Step-by-step explanation:
guy= 140 lbs
each box= 40lbs elevator can only weigh up to 1010
i took 1010- 140 and got 870lbs left for the books
then i took 870 divided by 40 (to see how many boxes of books can be put on the elevator) and got 21.75
so 21 boxes could go on the elevator at a time
Best Answer:
<span>
to multiply fractions you simply take the denominator of both fractions
and multiply them, do the same to the numerator, and you have your
answer.
ex.
2 5 10
-- * -- = ----
4 8 32
then, of course, you would need to simplify.
so the answer is
10(/2) 5
-------- = -----
32(/2) 16
To multiply mixed numbers, you need to convert them to improper
fractions, multiply and then convert them back to a mixed number. For
example:
2 1/2 x 5 1/3 = 5/2 x 16 /3
numerator 5 x 16 = 80 denominator 2 x 3 = 6
so now you convert 80/6 into a mixed number
80 / 6 = 13 and 2/6 or, reduced, 13 1/3. </span>
-4(4)=-16
3(1/7)=3/7
I think that’s what you are asking...
Answer:
Explanation:
Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.
- The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5
- The side number two can be colored with four different colors: 4
- The side number three can be colored with three different colors: 3
- The side number four can be colored with two different colors: 2
- The side number five can be colored with the only color left: 1
- Each of the sides six through ten can be colored with one color, the same as its opposite side: 1
Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:
- 5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.
Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.
