Answer:
Step-by-step explanation:
a^2 + B^2 = C^2
and all angle added together should make 180
the left box should be 20 and the right box should 17.321
Answer:
1) 2 cups of raisins.
2) 24 bags of the snack mix.
3) 5 cups of crackers.
4) 4 bags of the snack mix.
Step-by-step explanation:
1) To make 16 bags of the snack mix, Lilly needs cups of raisins.
2) Lilly needs 6 cups of pretzels to make bags of the snack mix.
3) If lilly uses 1 cup of pecans, she will need to use cups of crackers.
4) The recipe will make bags of the snack if Lilly uses only one cup of pretzels.
If this is for factoring, here’s how to do it.
7. 45n^2-5
-first, ask yourself what common factor does 45n^2 and 5 have? The answer is that they’re both divisible by 5
-next you want to expand this expression by dividing 5 out and rewriting it in multiplication. If you completely remove the 5 from the expression, you have created a new and different expression (which is not the goal). And so you will have: 5(9n^2-1)
-now we have to expand 9n^2-1. We know that (a-b)(a+b)=a^2-b^2; once you foil and multiply the expression, you’ll notice you cancelled ab with ab. So for this problem, you need to see what will make 9 and 1 once you square them(It’s 3 and 1).
-what you should have now is 5(3n-1)(3n+1). But ways check by foiling your answer to see if you end up with the same expression.
9. 45a^3-80a
what is similar about 45a^3 and 80a?
- both divisible by 5a
5a(9a^2-16)
what do you square to get 9 and 16
- 3 and 4
5a(3a-4)(3a+4)
When it comes to bigger numbers, use the quadratic formula to find the variables that‘ll be part of your factored answers(Remember to apply the opposite sign/operation when you insert the numbers you got from the formula - because the numbers from the formula are the solutions ex. If I got 3 and -4 from the formula, my factored expression would be (X-3)(X+4))
1 lamp cost 10. 4 light bulbs cost 3. 8 lamps is 80 dollars. 4×8= 32. 32 ×3 is 96. it would cost 8p dollars for the lamps and 96 for the light bulbs.
Answer:
14√2 feet
Step-by-step explanation:
The length of a diagonal of a square is where is the side length of the square. Therefore, .