I don't know about the first one but the second one is 34.9°. It would be that because are right angles add up to 90° and if you subract 55.1 and 90 it would equal 34.9. But this rule only works on right angles.
Answer:
Cost: $14.349
Markup: $15.649
Step-by-step explanation:
1. Rewrite the percent as decimal. Divide it by 100, as following:
109/100=1.09
3. Now, knowing that Baby blankets sell for $29.99 after a markup rate based on cost of 109%, you can write the following expresion:
Where x is the cost.
4. You must solve for x, then, you obtain:
5. The markup is:
The function is y=2x
this means that the solutions will have the form (x, y)=(x,2x).
For example: (0,0),(1,2),(2,4),(3,6) are solutions.
The first answer choice satisfies the above conditions.
The second answer choice contains (2,2), and (2,6), both of which do not satisfy the (x,2x) condition, so it's not correct.
The third answer choice contains (4,2), which again does not satisfy (x,2x), so not the right answer.
Answer:
15,120 for the first question. 1,680 if one of the books is a must
Step-by-step explanation:
When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.
We can make an equation to represent this,
9 x 8 x 7 x 6 x 5
Multiplying all of that out gets you 15,120.
The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.
8 x 7 x 6 x 5
Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.
Answer:
a. S = 3n + 2
b. There while be 62 squares.
Step-by-step explanation:
We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?
8 - 5 = 3
11 - 8 = 3
14 - 11 = 3
We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.
To find the 20th term of this sequence, substitute n for 20 and do the operations.
S = 3(20) + 2
<em>Multiply 3 by 20, then add 2.</em>
S = 62
The 20th term will have 62 squares.
