Use the unit circle to find cos (-270°)
Answers
Answer:
.
Step-by-step explanation:
We want to find the value of .
Note that;
This implies that;
Also 270 degrees is a quadrantal angle.
On the unit circle, is the x-coordinate of the point
Hence, .
Answer:
B.
Step-by-step explanation:
0
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Income tax is 5% on the first $50,000.00 of income or less, and 8% on any income in excess of $50,000.00. Let T(x) be a function of the income x.
b. $1.75 + $0.25x ≥ $15; x ≥ 53 miles
c. $0.25 + $1.75x ≤ $15; x ≤ 8 miles
d. $0.25 + $1.75x ≥ $15; x ≥ 8 miles
Answers
The inequality for the given situation is $1.75 + $0.25x ≤ $15; x ≤ 53 miles. Therefore, option A is the correct answer.
Given that, a cab charges $1.75 for the flat fee and $0.25 for each mile.
We need to write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.
What is inequality?
Inequalities are mathematical expressions in which both sides are notequal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now, number of miles = (15-1.75)/0.25
=53 miles
According to the given question, the inequality is 1.75 + 0.25x ≤ 15 and x ≤ 53.
The inequality for the given situation is $1.75 + $0.25x ≤ $15; x ≤ 53 miles. Therefore, option A is the correct answer.
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So the first one. Because you must pay the flat fee, and then for x miles you must pay $0.25. When you do (15-1.75) / 0.25 the answer is 53.
Answers
Ahhh ! That's where simplifying comes in. Before you even try to
compare the fractions, make sure each one is in simplest form.
To simplify a fraction:
-- List the factors of the numerator (the top number).
' 1 ' is always one of them.
-- List the factors of the denominator (the bottom number).
' 1 ' is always one of them.
-- If there's any OTHER number (besides ' 1 ') that's a factor of both the
top and bottom, then divide the top and bottom both by that number.
-- If there's another one, then divide the top and bottom by it.
-- Keep doing that until ' 1 ' is the only factor of both the top and bottom
numbers. Then you know that the fraction is in simplest form.
When you have simplified both fractions to their simplest form, THEN you
can compare them, and see whether they represent the same number.
If they do, then their simplest forms will both look exactly the same !
equation? Check all of the boxes that apply.
Answers
Answer:
A, D
Step-by-step explanation:
edge 2021
Answer:
sorry i cant answer without the picture it wont make sense.
Answers
The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles
The time required is 12 hours
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance of the aircraft be = x
Let the total time taken by the aircraft be = y
Let the constant of proportionality be k
when x = 1 ,
y = 490
So , the equation will be y = kx
Substituting the values in the equation , we get
y = 490x
when x = 2
y = 490 ( 2 )
y = 980
Now , the time taken by aircraft to travel 5,880 miles is
Substitute the value of y as 5880 in the equation , we get
5880 = 490x
Divide by 490 on both sides of the equation , we get
x = 5880 / 490
x = 12
Therefore , the time taken is 12 hours
Hence , the constant of proportionality is 490
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Answer:
The constant of proportionality is 490
The jet will take 12 hours to travel 5,880 miles
Step-by-step explanation: The miles multiply by 490 each time.
490 x 12 is 5,880
Answers
The numbers are 40 and 22.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Let the numbers be m and n.
The two expressions are:
m + n = 62 ______(1)
m = 62 - n ______(2)
m - n = 18 ______(3)
From (2) and (3)
(62 - n) - n = 18
62 - n - n = 18
62 - 2n = 18
62 - 18 = 2n
n = 44/2
n = 22
Now,
m + n = 62
m = 62 - 22
m = 40
Thus,
m = 40 and n = 22.
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x + y = 62 . . . . . . . (1)
x - y = 18 . . . . . . . .(2)
subtracting (2) from (1), we have:
2y = 44
y = 22
From (2), x + 22 = 62
x = 62 - 22 = 40
therefore, the two numbers are 40 and 22.
Answers
As we can see, the line crosses the x-axis at (-2, 0). If we climb three units up from -2 and then go one unit to the right, we arrive at the next point on the line.
Since we climbed three points and went to the right one point, our slope = 3/1. But, we can reduce that.
Slope = 3/1 = 3
Answer:
The slope is 3.
Step-by-step explanation:
The way to find the slope is to find how many blocks/number it went up and to the side. The number of blocks it went up on the y-axis, in this case, is 3 and it went along the x-axis once. In order to actually find the slope, you need to put the y over the x. So, 3/1 is equal to three, so the slope of this line is 3