Answer:
Hence, kaitlin will need 2 albums if she fills each page with her coins.
Step-by-step explanation:
The given information is:
Kaitlin has 46 coins in her coin collection.
She has albums that can hold 5 coins per page.
The albums have 6 pages each.
Now we are asked to find how many albums will be needed to fill each page with her coins.
As we know that 1 album has 6 pages.
1 page can hold=5 coins.
So, 1 album can old=6×5=30 coins.
Now 46-30=16 coins are left
So we will need one ore album so that these 16 coins could be placed in it.
Hence, kaitlin will need 2 albums if she fills each page with her coins.
Answer:
D.
Step-by-step explanation:
Reference angle = 45°
Length of Opposite side = x
Hypotenuse length = 5
Applying trigonometric ratio, we have:
Multiply both sides by 5
(sin 45 = 1/√2)
Rationalize
Answer: 25x^2 + 40x + 16
Explanation: Apply perfect square formula
(5x)^2 + 2 * 5x * 4 + 4^2
Simplify
Using the distance formula, you get sqrt(36+25) which is sqrt(61) which is around 7.8
Answer:
Step-by-step explanation:
Let the sides of the triangle be a, b and c.
<u>We have:</u>
- P = a + b + c = 29
- a = 2b - 5
- c = b + 6
<u>Substitute values and solve for b:</u>
- 2b - 5 + b + b + 6 = 29
- 4b + 1 = 29
- 4b = 28
- b = 7
<u>Find a and c:</u>
- a = 2*7 - 5 = 14 - 5 = 9
- c = 7 + 6 = 13
<u>The sides are:</u> 7, 9, 13