Answer:
108
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 16 - 12 = 4, thus
= 12 + (24 × 4) = 12 + 96 = 108
Answer:
? = 44 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adjacent side
tan ? = 46/48
Take the inverse tan of each side
tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)
? = 43.78112476
To the nearest degree
? = 44 degrees
Answer:
<u>It will take 1/2 of a year or 6 months for these trees to be the same height.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Type A is 2 feet tall and grows at a rate of 25 inches per year.
Type B is 10 feet tall and grows at a rate of 9 inches per year.
2. Algebraically determine exactly how many years it will take for these trees to be the same height.
x = Number of years
Type A = 2 + 25x
Type B = 10 + 9x
Let's solve for x, using the following equation:
Type A = Type B
2 + 25x = 10 + 9x
25x - 9x = 10 - 2
16x = 8
x = 8/16 = 1/2
<u>It will take 1/2 of a year or 6 months for these trees to be the same height.</u>
Let's prove it, this way:
2 + 25x = 10 + 9x
2 + 25 (1/2) = 10 + 9 (1/2)
2 + 25/2 = 10 + 9/2
29/2 = 29/2
14.5 = 14.5
Answer:A conjecture is an “educated guess” that is based on examples in a pattern. Inductive reasoning is a logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion. Inductive reasoning is often used in applications that involve prediction, forecasting, or behavior.
Step-by-step explanation:A conjecture is when a person makes a statement or proposition that seems likely to be true. An example of inductive logic is, "The coin I pulled from the bag is a penny. ... Therefore, all the coins in the bag are pennies." Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false.
A rhombus has two interior angles with a measurement of 56 degrees. What is the measurement of each of the other two interior angles?