Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).
What are coterminal angles?Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.
Given to us
θ = 45°
We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.
In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.
[tex]\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o[/tex]
Hence, the coterminal angle for angle 45° is (270°+45°).
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Answer:
c.45° + 270°
Step-by-step explanation:
Tell how much each person gets when they share equally.
3 friends share 5 pounds of trail mix.
Answer:
Each person will get .6 of a pound
Step-by-step explanation:
If you divide 3 by 5 you get .6.
I need help again………….
What is the slope of the line that passes through the points (1, -7) and (-2,-7)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
its a straight line horizontally
Jade is a real estate agent and is paid an annual salary of $18 000 plus a commission of 2.5% on
all sales. She is also paid a car allowance of $50 per week. What was Jade’s total yearly income
if she sold $1 200 000 worth of property?
Using proportions, it is found that Jade's total yearly income was of $50,600.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, Jade's income is composed by:
Fixed annual salary of $18,000.Car allowance of $50 per week, for 52 weeks.2.5% on commissions of $1,200,000.Hence:
[tex]T = 18000 + 50(52) + 0.025(1200000) = 50600[/tex]
Jade's total yearly income was of $50,600.
More can be learned about proportions at https://brainly.com/question/24372153
Luzia ran the 400‑meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer:
53.5 sec
Step-by-step explanation:
avg = 54
(56.3+52.3+x)/3 = 54
56.3+52.3+x = 54*3=162
108.5+x = 162
x = 162-108.5=. 53.5
Answer:
53.5 sec
Step-by-step explanation:
Hope its right
Express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.
By simplifying the given expression we will get that:
18*√8 = 36*√2
How to find an equivalent expression?
Here we start with:
18*√8
We can rewrite 18 as:
18 = √324
Replacing that in our expression we get:
√324*√8 = √(324*8) = √(2,592)
Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).
If we divide 2,592 by 2, we get:
2592/2 = 1296
Then we can rewrite:
√2592 = √(2*1296) = √2*√1296 = √2*36
So this is the expression we wanted:
18*√8 = 36*√2
If you want to learn more about square roots, you can read:
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Answer:
[tex]36\sqrt{2}[/tex]
Step-by-step explanation:
The largest square factor under the radical is 4. This gives us the factorization [tex]\sqrt{8} =\sqrt{4} * \sqrt{2}[/tex].
Thus,
[tex]18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})[/tex]
[tex]= 18*2\sqrt{2}[/tex]
[tex]= 36\sqrt{2}[/tex]
Hope this helps!
How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)
Answer:
214.50
Step-by-step explanation:
A = lw
13 x 11 = 143 (13 is a guess)
143 x 1.50 = 214.50
im not 100 % but give it a try
hope this helps
pls mark brainliest
the perimeter of a rectangular pool is 5656 meter. if the length of the pool is 1616 meter then find its width
pls explain full
Answer:
Length= 1616 m
Perimeter= 5656 m
= 2X L+ B
Breadth= Perimeter- Length /2
= 5656m - 1616 m
= 4040 /2
= 2020 m
Please mark as Brainliest
what is 143x 69 PLS ANSWER ASAP
Answer:
Step-by-step explanation:
143x 69
Divide 143 to both sides
143x = 69
--------------- = 2.07
143 143
what are the roots of the polynomial equation
Answer:
-4 or -3
Step-by-step explanation:
Calculate the determinant:
D = b^2 - 4ac = 49 - 48 = 1
Apply the formula:
x = (-b +- sqrt(D))/2a = (-7 +- 1)/2 = -4 or -3
I need help with this problem please and thank you
a) [tex]x^5-x^3[/tex]
[tex]x^3\left(x^2-1\right)[/tex] ........take out x³
[tex]x^3\left(x+1\right)\left(x-1\right)[/tex] ......separated (x²-1)
b) [tex]3x^2-75[/tex]
[tex]3\left(x^2-25\right)[/tex] ........took out 3.
[tex]3\left(x+5\right)\left(x-5\right)[/tex] .......separated (x²-25)
c) [tex]3x^5y+4x^4y-5x^2y[/tex]
[tex]x^2y\left(3x^3+4x^2-5\right)[/tex] ............takeout x²y at the front.
d) [tex]81x^3-125[/tex]
[tex]81x^3-125[/tex] ......cannot be factorised much more further.
Solution:
Part - A:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x⁴ (GCF), which can factorize completely. This will subtract 4 from the exponents.
=> x⁵ - x³=> x⁴(x - 1)Part - B:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by 3 (GCF), which can factorize completely. This will divide 3 from the terms.
3x² - 753(x² - 25)3(x + 5)(x - 5)Part - C:
To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x²y (GCF), which can factorize completely.
3x⁵y + 4x⁴y - 5x²y=> x²y(3x³ + 4x² - 5)Part - D:
Unfortunately, this expression can't factor with rational numbers. The expression results in 81x³ - 125.
Can someone help me
Step-by-step explanation:
I guess, the problem is to understand :
what means "average" ?
well, the average of a defined set of data points is the sum of the data divided by the number of data points (or samples).
that way you get a mean value for each time the system is "measured" (a data point is created).
each new measurement / data point changes the mean value (or average).
this is used all the time - in sports statistics (e.g. the average score of a team), in daily life (like the average height of a human being that defines sizes of clothes, beds, chairs, tables, even the typical height of ceilings and so on).
the average of these 8 data points is therefore :
(36+37+34+23+47+27+31+21)/8 = 256/8 = 32
so, if he wants to raise his average score to 35 with the results of the next 2 games, this has 2 things to be considered :
1. the number of days points will be then 8+2=10 (and not just 8).
2. we need to add 2 data points, so that the sum of all 10 data points divided by 10 is then 35.
(36+37+34+23+47+27+31+21+x+y)/10 = 35
(36+37+34+23+47+27+31+21+x+y) = 350
x + y = 350 - 256 = 94
that means, he has to score a total of 94 points in the next 2 games.
it does not matter, how many in any single game, as long as the sum of both games is 94.
since the question is phrased "how many in each of the next 2 games", we simply take the target average of these 2 games.
remember, sum/amount = 94/2 = 47.
so, he would have to score 47 points in each of the next 2 games to raise his general average score to 35.
Solve for t.
t
3
= 4
Answer:
r = 12
Step-by-step explanation:
Step 1: Multiply both sides by 3.
(t/3) × 3 = 4 × 3t = 12Step 2: Check if solution is correct.
12/3 = 44 = 4Have a lovely rest of your day/night, and good luck with your assignments. ♡
Answer:
t = 12
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
[tex]3*\frac{t}{3}=3*4[/tex]
[tex]t=3*4[/tex]
Multiply the numbers
t = 12
[RevyBreeze]
Surface Area of Cylinder=2πrh+2πr2
Where r is the radius of the cylinder and h is the height of the cylinder.
Find the surface area when r is 8 inches and h is 8 inches.
A. 160π in²
B. 154π in²
C. 288π in²
D. 256π in²
Answer:
D. [tex]256\pi\ in^2[/tex]
Step-by-step explanation:
To do this, we need to plug in the given values into the equation:
[tex]SA=2\pi rh+2\pi r^2\\SA = 2\pi 8(8)+2\pi 8^2\\SA=2\pi 64+2\pi 64\\SA=128\pi + 128\pi\\SA=256\pi \ in^2[/tex]
please hurry i’m super stressed
Micah jogs on a path at the park at 5 miles per hour. He has jogged 2 miles when Luke starts running on the same path at 5 miles per hour. If they maintain their pace, when will Luke catch up to Micah?
Answer:
no because micah started before and they are running at the same pace.
Step-by-step explanation:
If they maintain their pace, Luke will not catch up to Micah because the gap of the 2 miles will be maintained.
What is the application of subtraction?In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that Micah jogs at a 5 mph pace along a park trail. Luke begins running on the same path at a speed of five miles per hour after he has jogged two miles.
After 2 kilometers of jogging by Micah, Luke begins running along the same route. Luke moves at a 5 mph speed.
Because Micah and Luke move at the same speed. There will be a 2-mile separation between them. Luke will not catch up to Micah
Thus, if they maintain their pace, Luke will not catch up to Micah because the gap of the 2 miles will be maintained.
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Rhonda has a square with a perimeter of less than 50cm. what length could the sides be?
Quincy uses 2 cups of vinegar in his salad dressing recipe. How much vinegar would Quincy use to make 1/2 of a recipe?
multiply -10(-7x² + 5x)
Step-by-step explanation:
Use the Distributive Property:
[tex]-10(-7x^{2} +5x)[/tex]
[tex]70x^{2}-50x[/tex]
[tex]70x^{2}-50x[/tex] is your simplified expression.
please can you help me on this mathswacth question?
Answer:
84 cm
Step-by-step explanation:
the area of a parallelogram is the how tall is it times it by the how long the base
(H x B)
the answer is 84 cm
bro somebody anybody answer these 2 questions i plead
Answer:
1. 4/5, 3/5, 4/3 || 2. x = 13.78
Step-by-step explanation:
1)
Sin = Opposite/Hypotenuse = 16/20 = 4/5
Cos = Adjacent/Hypotenuse = 12/20 = 3/5
Tan = Opposite/Adjacent = 16/12 = 4/3
So the answer is 4/5, 3/5, 4/3
2) The unknown side is the opposite, and 21 is the hypotenuse. Opposite/Hypotenuse is the sine function.
Sin(41) ≈ 0.656
0.656 = x/21
x = 13.776
The closest answer to this is 13.78
A farmer owns a total of 19 ducks and horses.
The ducks and horses have 64 legs altogether.
How many horses are there?
Answer:
6 ducks and 13 horses
Step-by-step explanation:
x ducks
19-x horses
2x+4(19-x)=64
2x+76-4x=64
4x-2x=76-64
2x=12
x=6 ducks
19-x = horses
19-6=13 horses
6 ducks and 13 horses
six times a number is 21 less than nine times the same number
Answer:
7
Step-by-step explanation:
6*7=42
9*7=63
63-42
Answer:
number is 7
Step-by-step explanation:
let the number be n , then
6n = 9n - 21 ( add 21 to both sides )
21 + 6n = 9n ( subtract 6n from both sides )
21 = 3n ( divide both sides by 3 )
7 = n
That is the number is 7
Find the product of (x − 3)2. X2 6x 9 x2 − 9 x2 − 6x 9 x2 9.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x-3)^2[/tex] is [tex]x^2 - 6x + 9[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
For the given case, the product needed can be calculated as:
[tex](x-3)^2 = (x-3) \times(x-3) = x(x-3) - 3(x-3) = x^2 - 3x - 3x + 9\\\\(x-3)^2 = x^2 - (3+3)x + 9 = x^2 - 6x + 9[/tex]
(coefficients of like terms were added)
Thus, the product result of given expression is
[tex]x^2 - 6x + 9[/tex]
Learn more about product of polynomials here:
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Answer:
x^2 - 6x + 9
Step-by-step explanation:
Hope this helps! :D
-6u > -42 u is greater than what?
simplify
-6u>-42
switch signs when dividing negative numbers
u<7
so, u is actually smaller than 7
Given sin 0 and angle 0 is in Quadrant II, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.
sin = 3/7
1 = sin²0 + cos²0
cos²0 = 1 - 9/49
cos²0 = 40/49
cos0 = √(40) / 7
since its in Quadrant 2 the sin is positive and cos is negative
cos0 = - √(40) / 7
Find the value of x. PLS HELP ASAP!!!!!
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
the base length is 32
But we need the base angle for the x triangle so we say
[tex] \frac{32}{2} = 16[/tex]
[tex]20 = hypothenus \\ 16 = adjacent \\ [/tex]
[tex]opposite \: =[/tex]
[tex] {opp}^{2} + {adj}^{2} = {hyp}^{2} [/tex]
[tex] {opp}^{2} + {16}^{2} = {20}^{2} [/tex]
[tex] {opp}^{2} = {20}^{2} - {16}^{2} \\ {opp}^{2} = 400 - 256 \\ {opp}^{2} = 144 \\ opp = \sqrt{144} \\ opp = 12 \\ x = 12[/tex]
Solve the equation. 6^3r = 36
Answer:
r = 2/3
Step-by-step explanation:
[tex]6^{3r} =36[/tex]
if:
[tex]36=6^{2}[/tex]
[tex]6^{3r} =6^{2}[/tex]
then:
[tex]3r=2[/tex]
[tex]r=2/3[/tex]
Hope this helps
Answer:
[tex]r=\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]6^{3r}=36\\\\log_6(6^{3r})=log_6(36)\\\\3r=2\\\\r=\frac{2}{3}[/tex]
Decide whether the given ordered pair is a solution to the system of equations.
-5x+y=12
y=-x
(-2,2)
Answer:
no
Step-by-step explanation:
Doesn't add to 12
[tex] - 5x + y = 12[/tex]
Add both sides 5x
[tex] - 5x + 5x + y = 5x + 12[/tex]
[tex]y = 5x + 12[/tex]
&
[tex]y = - x[/tex]
Thus :
[tex] - x = 5x + 12[/tex]
Add both sides x
[tex] - x + x = 5x + x + 12[/tex]
[tex]0 = 6x + 12[/tex]
Subtract both sides 12
[tex]0 - 12 = 6x + 12 - 12[/tex]
[tex] - 12 = 6x[/tex]
Switch sides
[tex]6x = - 12[/tex]
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{ - 12}{6} \\ [/tex]
[tex]x = - 2[/tex]
We found the x-coordinate of the solution point ; to find the y-coordinate we just need to put the value of x in one 0f the given equations :
[tex]y = - ( - 2) [/tex]
[tex]y = 2[/tex]
Thus ( - 2 , 2 ) is the solution to this system of equations.
Is 5x+2 equivalent to 5x+2x ?
Answer:
I don't think so
Step-by-step explanation:
If I remember (based on memory) it's not equivalent
Reasoning: there's a different amount of Xs
Answer:
Please answer my question if you can, and gl understanding this! <3
Step-by-step explanation:
No, for if we subtract them, when we cancel out the 5x, 2, the integer, will not be equal to 2x, for not only is 2 already there, it is also being multipled by an integer. It possibly can equal though, if x was either 0, or positive 1, but if the x is not given, then no, they're not equivalent.