Answer:
<u>The correct answer is D. 12√2, 12√2, 24.</u>
Step-by-step explanation:
Let's recall that a property of the right triangles 45 - 45 - 90 is that the lengths of the sides of this type of triangles are in the ratio 1 : 1: √2.
Thus, if the hypotenuse is 24 units, the length of the legs is 12√2. We calculated it this way:
24/√2 = x/1
x√2 = 24
x = 24/√2
x = (24 * √2) / (√2 * √2) (For not having a square root in the denominator)
x = 24√2/2
x = 12√2 (Most simplified expression)
<u>The correct answer is D. 12√2, 12√2, 24.</u>
Answer:
The initial amount, A is approximately $19,991.1.
Step-by-step explanation:
The initial amount the man invests in the bank = A
The amount the man deposits after 15 years = $10,000
The amount in the account after 50 years = $251,894.21
The amount of money after every 15 years = 2 × Initial amount
Therefore, we have;
The amount in the account 15 years after when the man deposits another $10,000 = 2 × A
Therefore the initial amount at the 15th year = 2·A + 10000
The
We have;
2·A = A·(1 + r)¹⁵
(1 + r)¹⁵ = 2
1 + r = 2^(1/15)
r = 1 - 2^(1/15) = 0.04729412282
Therefore, we have;
On the 50th year, 50 - 15 = 35 year
$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵
A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1
The initial amount, A ≈ $19991.1.
Answer:
The y-coordinates are the same
Step-by-step explanation:
Answer:
Wayne bought 72 blueberries.
Step-by-step explanation:
To combine the fractions, convert all of the fractions to a denominator of 24.
3/8 * 3/3 = 9/24
1/6 * 4/4 = 4/24
5/12 * 2/2 = 10/24
Now add together the fractions
9/24 + 4/24 + 10/24 = 23/24
He used 23/24 of his blueberries, or 69 of them.
To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.
69 / 23 = 3
3 * 24 = 72
Wayne bought 72 blueberries.
Answer:
A
Step-by-step explanation:
The square root of 5 is irrational because it cannot be expressed as a fraction.
Meanwhile, all 3 other answer choices are not irrational because they can be put into fraction form.
