The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.
We have to determineWhich expression finds the measure of an angle that is coterminal with a 45° angle?
According to the question,Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.
The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
A coterminal with 45° is 45°+k°360° with k as an integer.Then,
The coterminal angle with 45°,
When k = 0
Then,
[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]
When k = 1
Then,
[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]
When k = -1
Then,
[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]
Hence, The measure of an angle that is coterminal with a 45A°+360A°.
For more details about the Coterminal angle refer to the link given below.
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how
5. Shane has no more than $200 to spend on a
basketball game for next weekend. He spends
$44 on fees. If the tickets are sold at $78 each,
which inequality models t, the number of tickets
Shane is able to buy?
Answer:
[tex]t\leq2[/tex]
Step-by-step explanation:
200 - 44 = 156 dollars which Shane can use to buy tickets
156 >= 78t
t<=2
Therefore the maximum number of tickets he can buy is 2
2. The sum of the two number is 5 and difference of their squares is 5. Find the difference of the numbers?
help me solomon user.
Answer:
see the attachment
I hope it's help you
Let the two numbers be X and Y
Sum of the two numbers = 5
⇛ X+Y = 5-----(1)
Difference of their squares = 5
⇛ X²-Y² = 5
⇛(X+Y)(X-Y) = 5
⇛5(X-Y) = 5
⇛X-Y = 5/5
⇛ X-Y = 1
The difference of the two numbers = 1. Ans.
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Lisa is using the equation x2 (x – 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. when lisa solves the problem using the ...
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Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the solution to the system? ( , ).
The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
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(x+3³):(x+3)
Ehjensnsn
Answer:
x + 27
——————
x + 3
Step-by-step explanation:
2x+3=3+2x
Someone help pls
Answer:
Step-by-step explanation:
There is no answer I looked it up and it said 0=0
On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?
The required change in the price of the share of stock is $4.4.
Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4
Thus, the required change in the price of the share of stock is $4.4.
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What is the volume of this container?
how do i tell if an angel is comolentery, supplmentsry, or neither? I was not at school the day they showed me this?
Answer:
supplementary angles - two angles are supplementary when they add up to 180 degrees (a straight line)
complementary angles - two angles are complementary when they add up to 90 degrees (a right angle)
hopefully this helps! :)
Answer:
1. complementary
2. neither
3. supplementary
4. complementary (x = 6)
10x + 30 = 90 x + 3 = 9 x = 6
5. supplementary (x = 20)
4x + 40 + 3x = 180 7x = 140 x = 20
6. x = 50.5
2x + 79 = 180 2x = 101 x = 50.5
Step-by-step explanation:
When the measurement of the angles adds up to 90 degrees, the angles are complementary. When the sum of the angles is 180 degrees, then they are supplementary.
empat angka setelah angka tiga
Answer:
hindi ko po gets
yan sorry
Factorize the following: 9x²+6x+1-25y²
Answer:
(3x - 5y + 1)(3x + 5y + 1).
Step-by-step explanation:
9x²+6x+1-25y²
= 9x^2 - 25y^2 + 6x + 1
= (3x - 5y)(3x + 5y) + 6x + 1
3x + 3x = 6x and 1 * 1 = 1 so we have:
= (3x - 5y + 1)(3x + 5y + 1)
HELP It's due in 15 minutes
Answer:
L
Step-by-step explanation:
Please please help!!
Step-by-step explanation:
get add and add on ok
I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)
Answer:
(b) x +2y = 8
Step-by-step explanation:
There are at least a couple of ways to come to the conclusion.
1) use the given information to write the equation of the desired line
2) check to see which of the answer choices satisfies the requirement
__
1)The given line has two specified points on it. These can be used to find its slope. (Or, you can count grid square to see it has a rise of -1 for a run of +2.)
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -0)/(4 -(-4)) = -4/8 = -1/2
Comparing this to our grid square count, we see they are the same:
m = rise/run = -1/2
Now, we have a slope (-1/2) and a point (2, 3), so we can use these to write the point-slope equation of the desired line:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -3 = -1/2(x -2) . . . . . point-slope equation of the desired line
y -3 = -1/2x +1 . . . . . . eliminate parentheses
1/2x +y = 4 . . . . . . . . add 1/2x +3 to both sides
x +2y = 8 . . . . . . . . . multiply by 2
__
2)Perhaps easier in this case is to try the given equations to see which is satisfied at the given point. There are two different left-side expressions to evaluate at the point (x, y) = (2, 3):
x +2y = (2 +2(3)) = 2+6 = 8
2x +y = 2(2) +3 = 4 +3 = 7
Only the equation ...
x +2y = 8
is satisfied at the given point.
_____
Additional comments
While I encourage you to learn to solve questions like this "from scratch", modern math curriculum is often "multiple choice."
When faced with multiple choices for answers, it is often easiest to ...
(a) eliminate the ones that are not self-consistent or that are false on their face;
(b) eliminate the ones that have an obviously fatal flaw (wrong sign of slope, too large or too small, for example);
(c) choose from the remaining ones the one that properly answers the question (satisfies all requirements).
__
When you solve a standard-form equation for y, you get ...
ax +by = c
by = -ax +c
y = -a/bx +c/b
That is, the slope of the line is -a/b.
For the two left-side expressions in the answer choices, the slopes are ...
x +2y ⇒ slope = -1/2
2x +y ⇒ slope = -2/1 = -2
The scales on the graph are the same in the x- and y-directions, so the shallow negative slope of the given line is clearly less than 1. That eliminates the last two answer choices already.
i need help w this pls :)
Answer:
x8 y6
Step-by-step explanation:
Write an equation that represents the line plsss
If a 16 ounce box of pasta costs $1.39, what is the unit price?
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
Just right
Step-by-step explanation:
BRAIN PLS
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer: By using the rounding rule.
Step-by-step explanation:
387 x 397 => 387.4
384 x 352 => 387.4
help please i’m doing homework and i can’t fail this lesson.
Answer: y = 3x +1
Step-by-step explanation:
10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77
Simplification of fractionsFractions are written as a ratio of two integers
Give the expression
10/11 x 3/7 x 1/2
This can also be written as:
10/2 * 1/11 * 3/7
= 5/11 * 3/7
= 15/77
Hence the product of the fractions in its simplest form is 15/77
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A number more than 1.
Answer:
there is no more number than one
Step-by-step explanation:
For each problem below put the lettered measures in order for greatest to the least
Angles can be used to estimate the side lengths of a shape.
The letters in order of greatest to least are (a), (b) and (c)
The sum of angles at side (a) is:
[tex]a = 30 + 50[/tex]
[tex]a = 80[/tex]
The sum of angles at side (c) is:
[tex]c = 50 + 90[/tex]
[tex]c = 140[/tex]
The sum of angles at side (b) is:
[tex]b = 40 + 90[/tex]
[tex]b = 130[/tex]
So, we have:
[tex]a = 80[/tex]
[tex]b = 130[/tex]
[tex]c = 140[/tex]
The smaller the base angles, the longer the side.
Hence, the letters in order of greatest to least are (a), (b) and (c)
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((7,4),(6,3),(5,2)
Function?
Domain:
Range:
Answer:
see explanation
Step-by-step explanation:
For a function each value of x in the domain must map to exactly one unique value of y in the range.
This is the case here so it is a function.
The domain is the x- coordinates of the points
domain is { 5, 6, 7 }
The range is the y- coordinates of the points
range is { 2, 3, 4 }
Which of the following functions is graphed below
Answer:
Option B: [tex]y=\left \{ {{x^2+6,x<3} \atop {-x+6,x\geq3}} \right.[/tex]
Step-by-step explanation:
We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.
The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.
Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".
1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.
2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.
3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.
4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.
5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.
1. This is a ratio question in disguise.
By parts of the question: "When y varies directly with x" -> y/x
"if y=8 when x=4" -> y/x = 8/4
"how do you find y when x=5" -> y/x = 8/4 = y/5
so -y = 8x5/4 = 10
That's all i got..
What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
I got this answer by first using the slope formula, which would result into [tex] \frac{0 - 4}{6 - 0} \\ [/tex]for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get
[tex]y = - \frac{2}{3} x + 4 \\ [/tex]
As a car owner/lessee, it is not a requirement to have minimum coverage auto insurance.
T or F
Answer: False
Step-by-step explanation:
30% of 70 is what?
me is not smart
Answer:
21
Step-by-step explanation:
30/100 × 70= 2100/100
= 21
What type of market structure would toothpaste, jeans and laundry
detergent be apart of?
Answer:
The personal hygiene part of the store (I think)
Step-by-step explanation:
This is an ultimately weird question, so I don't really know. But my answer is what I think, (I don't even know if it exists though).
What’s the slope intercept form?
At first I thought it was y=-4/3x+7 but it’s not. Pls help!
Answer:
y = - [tex]\frac{5}{4}[/tex] x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line