Answer:
1/3
Step-by-step explanation:
You find a number that goes into both numbers ex) 3
divide top and bottom by 3 to get 1/3
it is the identity property because it states that 2+4=2+4 and 2+4 will always equal itself, 2+4
another example of this would be 5=5
How many degrees is the tire turning every second?
Enter your answer in the box.
Answer:
180 degrees per second.
Step-by-step explanation:
We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).
Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.
We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.
As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,
Therefore, the tire is turning 180 degrees per second.
It takes 2 seconds for the tire to make a full revolution. This is evident from the plot - the curve has a period of length 2.
A full revolution of the tire is a turn of 360 degrees.
So the tire turns at a rate of (360 degrees)/(2 seconds) = 180 degrees/second.
The 3 decimals between 16.4 and 16.5 will be 16.45, 16.48, and 16.49 respectively.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the name for the method of representing numbers in the decimal system.
The two numbers are 16.4 and 16.5 there are many decimal numbers between the given two numbers but the three decimal numbers are 16.45, 16.48, and 16.49.
Decimals are used to determine if a number is rational or irrational. They are used to change fractions, percentages, and ratios from one form to another. Decimals are also used to measure things like length, weight, area, and volume. Calculations requiring precision frequently employ decimals.
Thus, the 3 decimals between 16.4 and 16.5 will be 16.45, 16.48, and 16.49 respectively.
Learn more about the decimal system here,
#SPJ2
|80 - 5x| ≤ 4
He is buying 5 tickets.
He wants his total cost to be in the range of 80 ± 4.
5x - 80 ≤ 4
5x ≤ 84
x ≤ 16.8
5x ≥ 76
x ≥ 15.2
5x - 80 ≤ 4 and 80 - 5x ≤ 4
we can express this inequality as;
|80 - 5x| ≤ 4
Read more at; brainly.com/question/13462599
To model the cost x, in dollars, of a concert ticket, the inequality 80 - 4 ≤ x ≤ 80 + 4 can be used.
To model the cost x, in dollars, of a concert ticket, we can write the following inequality:
80 - 4 ≤ x ≤ 80 + 4
This inequality states that the cost of a ticket, x, must be between $76 and $84 (inclusive),
in order for Jamie's total cost for 5 tickets to be no more than $4 above or below $80.
#SPJ12
Answer:
As per the statement:
The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.
We draw the figure for this problem as shown below:
Height of the lighthouse(BC) = 100 foot
Angle of depression = 20 degrees.
Since, angle of depression is equal to the angles of elevation
i.e,
using tangent ratio:
Here,
Opposite side = BC = 100 foot
Adjacent side = AB
Angle of elevation:
Substitute these to solve for AB:
or
Simplify:
AB = 294.375362123 foot
Therefore, the distance to the boat approximately is 294.4 foot
By using the tangent function with the given height of the lighthouse and the angle of depression, we can solve for the distance to the boat, which is approximately 274.1 feet.
In this scenario, we can use trigonometry to find the distance to the boat. Since we know that the lighthouse is 100 feet high and the angle of depression is 20 degrees, this fits the scenario for a tangent function, where tangent of an angle equals the opposite side divided by the adjacent side.
Setting up our function, we get tan(20) = 100/ distance to the boat. Since we want to find the distance to the boat, we can rearrange the equation to be distance to the boat = 100 / tan(20).
Doing this calculation, we find that the distance to the boat is approximately 274.1 feet.
#SPJ3