Answer:
<h3>
(8, -5)</h3>
Step-by-step explanation:
Translation right (or left) means change of the x-coordinate.
Translation down (or up) means change of the y-coordinate.
(5, -4) → (5+3, -4-1) = (8, -5)
The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.
<h3>What is probability?</h3>
The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.
Here,
When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).
Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.
As a result, 186 outcomes or triplets are possible and satisfy this property.
Hence, the required probability is 186/216=31/36.
The required probability is 31/36 for three dice rolls to produce triangle sides.
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Answer:
a₄ = - 15
Step-by-step explanation:
Using the recursive formula and a₁ = 17 , then
a₂ = a₁ - 8 = 17 - 8 = 9
a₃ = a₂ - 8 = 9 - 8 = 1
a₃ = a₂ - 8 = 1 - 8 = - 7
a₄ = a₃ - 8 = - 7 - 8 = - 15
The interest in the first month is given as $ 97.1. The principal balance in the second question is $15,030.02
<h3>How to solve for the interest in the first month</h3>
1. We have to solve for the cost of the car
This would be = 19,725*(1.0475)
= 20,661.9375
There is a Down payment = 2,175
balance would be 20661.9375-2,175 = 18,486.94
average rating interest of new car = 6.30%
So the interest accrued in first month = 18,486.94x0.063/12 = $ 97.1
2. cost = 15867
sales tax = 5.25%
10 percent down payment
5.25/100 = 0.0525
cost of car = 15867 + (15867 * 0.0525)
= 16700 dollars
10% of 16700 dollars
= 1670 dollars
principal balance = 16700 - 1670
= $15,030.02
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56ft². <span>Surface Area = 2×(2×2 + 2×6 + 2×6)</span>
