The terminal ray of an angle measuring negative startfraction 10 over 9 endfraction pi lies in the____quadrant. this angle measures____°.
Answers
The terminal ray of an angle measuring negative startfraction 10 over 9 endfraction pi lies in the Second quadrant. this angle measures 200°.
Quadrants:The standard Cartesian coordinate plane is divided into four quadrants as shown in the figure above.
Angle measure: This is the unit of measure used to determine the distance between two lines joined at a common vertex. Subtract 360 to find the quadrant in degree units.
If the value is still greater than 360, continue subtracting 360 until the value is greater than 0 and less than 360. If the angle measurement is negative, add 360.Next, divide the angle (in degrees) by 90.The result of this division can contain integers and decimals. Take only integers not decimal value.If this value is 0, the angle is in the first quadrant. If this value is 1, the angle is in the second quadrant. If this value is 2, the angle is in the 3rd quadrant. If this value is 3, the angle is in the 4th quadrant.We have given that,
the angle = - 10π/9°
As we know that , π = 180°
so, - 10π/9° = (-10×180/9)° = - 200°
Now, we check the quadrant for angle - 200°
For this follow the above steps,
- 200° + 360° = 160°160°/90° = ( 16/9) = 1.77 ~2So, the required quadrant is second .
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Related Questions
which equation can be solved by using this system of equations? startlayout enlarged left-brace 1st row y = 3 x superscript 5 baseline minus 5 x cubed
Answers
By using the concept of equation, it can be calculated that-
The equation can be solved by using this system of equations
[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]
What is equation?
At first it is important to know about algebraic expressions.
Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
Here the system of equation are-
[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]
So the equation can be solved by using this system of equations
[tex]3x^5-5x^3+2x^2-10x+4=4x^4+6x^3-11[/tex]
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Complete Question
Which equation can be solved by using this system of equations?
[tex]3x^5-5x^3+2x^2-10x+4=0\\4x^4+6x^3-11=0[/tex]
PLEASE HELP IM STUCK ON THIS ONE
Answers
Triangle GHJ is congruent to triangle EKI by using ASA congruence theorem.
The given triangle are GHJ and EKI.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider ΔGHJ and ΔEKI
∠H = ∠K (Given in figure)JK=HI (Given in figure)∠EIK = ∠GJH (Given in figure)IK=JK+IJ (segment addition postulate JK=HI, add IJ to the equivalents)HJ=HI+IJ (segment addition postulate JK=HI, add IJ to the equivalents)IK=HI+IJ (substitution property)HJ=IK (transitive property)ΔGHJ ≅ ΔEKI (By ASA congruence theorem)Hence, proved triangle GHJ is congruent to triangle EKI by using ASA congruence theorem.
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What are the two equations of a line?
Answers
The two equations of a line are 1) Two point form
2)Slope-intercept form
Two-point form: The equation of a line passing through the two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex]. The slope of the two-point form is [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
The equation is [tex]y-x_{1}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1})[/tex]
Slope-intercept form: The slope-intercept form is [tex]y=mx+c[/tex]. Here m represents the slope of the line and c represents the y-intercept of the line.
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What is the slope of a line parallel to the line y =- 3x 10?
Answers
To find the slope of a line parallel to a given line, we need to find the slope of the given line. The slope of a line parallel to y = -3x + 10 is -3.
To find the slope of a line parallel to a given line, we need to find the slope of the given line. We can do this by taking the coefficient of x in the equation and making it the numerator of a fraction with a denominator of 1.In the equation y = -3x + 10, the coefficient of x is -3.
Therefore, the slope of a line parallel to y = -3x + 10 is -3.
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Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores.
Answers
The mean of the class is 94.6 and the range of the class is 55.
What is the mean and the range?A dataset's mean is the sum of all values divided by the total number of values. It is the most widely used measure of central tendency and is frequently referred to as the "average."
The range of a set of numbers is the difference between its highest and lowest values. To find it, subtract the lowest value from the highest in the distribution.
The given data is 45,68,77,90,90,95,100,100,86,90,50,55.
The mean of the data will be calculated as,
Mean = (sum of the data) / ( number of the data)
Mean = ( 45 + 68 + 77 + 90 + 90 + 95 + 100 + 100 + 86 + 90 + 50 + 55)/12
Mean = 94.6
The range of the data will be calculated as,
Range = Highest value - The lowest value
Range = 100 - 45
Range = 55
The mode of the data is 90 because it has three repetitions.
The median of the data is the middlemost value of the data when the data is arranged in increasing order,
(45,50,55,68,77,86,90,90,90,95,100,100)
Median = ( 90 + 90 ) / 2
Median = 45
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Solving for proportions
Answers
Answer:
1. c=72/15
2. y=4
3. k=-37/4
4.d=6
Step-by-step explanation:
1. c/6=12/15
Cross multiply. 72=15c.
Dividing by 15, we get C=72/15.
2. 21/7=3. So, 12/y=3. Solving for y, we get y=4.
3. -37/24=k/6
24/6=4. So, -37/k must equal 4.
-37/k=4
-37=4k
k=-37/4
4.
40/8=5. That means that 30/d=5
30=5d
d=6
Done!
a study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. it was found that children not wearing any restraints had hospital stays with a mean of 7.37 days and a standard deviation of 2 days with an approximately normal distribution. (a) find the probability that their hospital stay is from 5 to 6 days, rounded to five decimal places.
Answers
The required probability that their hospital stay is from 5 to 6 days is 3.31%.
What is normal distribution?An normal distribution is a sort of ceaseless likelihood dissemination wherein most information guides bunch to the center of the reach, while the rest tighten evenly toward one or the other limit. The center of the reach is otherwise called the mean of the distribution.
According to question:We have,
mean(a) = 7.37, standard deviation(S) = 2
Using formula
[tex]Z = \frac{x-a}{S}[/tex]
Then,
P( hospital stay is from 5 to 6 days)
P(5[tex]\leq[/tex]x[tex]\leq[/tex]6) = P[tex](\frac{5-7.37}{2}\leq z\leq \frac{6-7.37}{2})[/tex] = P(-3.16 ≤ z ≤-1.827 )
⇒P(z≤-1.827) - P(z≤-3.16)
⇒ 0.034 - 0.001 = 0.331 = 3.31%
Theus, probability is 3.31%
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Safia bakes cakes. The dimensions of the oven tray are 600mm x 500mm. A cake tin is 25 cm in diameter.
Answers
Safia can fit 4 cakes on the oven tray at one time
Firstly, We need to change the measurements from mm to cm
600mm x 0.1cm/1mm = 60cm
500mm x 0.1cm/1mm = 50cm
Area of the Tray (rectangular) = 60cm * 50cm = 3,000cm²
Area of the cake tin (circular) = π r²
r = d/2 = 25/2 = 12.5cm
Area of the cake tin = 3.14 * (12.5cm)²
Area of the cake tin = 3.14 * 156.25cm²
Area of the cake tin = 490.625cm²
Area of the tray ÷ Area of the cake tin = number of cake tins that fit
3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins.
thus, We can conclude that she can fit 6 cakes in the oven at once.
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(complete question)
Safia bakes cakes. The dimensions of the oven tray are 600mm x 500mm. A cake tin is 25 cm in diameter. How many cake tins can Safia fit on the oven tray at one time?
How many solutions over the complex number system does this polynomial have 7x^5-33x^4-4x^2+3x+52=0.
Answers
The number of solutions over the complex number system to the given polynomial is 5 .
The complex number is fundamentally the mix of a real number and a nonexistent/imaginary number. The complex number is given by a+ib, where a is defined as the real number and ib = imaginary number. Additionally, a,b has a place with real numbers and i = √-1.
Consequently, a complex number is a straightforward portrayal of expansion of two numbers, i.e., real number and a imaginary number. One piece of it is simply genuine and the other part is absolutely nonexistent.
Now, the given polynomial is 7x⁵ - 33x⁴ -4x²+3x+52=0.
We know very well that for complex number, its number of solution is decided by the degree of the polynomial. Degree is defined as the highest exponent of variables present in polynomial. Highest exponent present in polynomial is 5.
Hence, number of solutions are 5.
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Write the equation of the given line in slope-intercept form.
Answers
Answer:
y=7/2x+1
Step-by-step explanation:
Remember this formula
Y=mx+b
m=slope
b=y-intercept
Find LN in the image below
Answers
A squared-- so the length of one of the shorter sides squared-- plus the length of the other shorter side squared is going to be equal to the length of the hypotenuse squared.
What is the Pythagorean theorem easy definition?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.we can use the Pythagorean theorem to find the length of PN in triangle OPNIn any right triangle, the area of the square whose side is the hypotenuse (remember this is the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).a²+b²=c²Pythagoras theorem can be used to find the unknown side of a right-angled triangle. For example, if two legs of a right-angled triangle are given as 4 units and 6 units, then the hypotenuse (the third side) can be calculated using the formula, c2 = a2 + b2; where 'c' is the hypotenuse and 'a' and 'b' are the two legs.where a and b are legs and c is the hypotenuse
we are given one leg (OP=8) and the hypotenuse (ON=18) so now we can plug in these numbers to find PN
8²+b²=18²
64+b²=324
b²=260
b=√260
b=√4 * √65
b=2√65
now that we have the value of PN, we can get the value of LN by doubling 2√65
2(2√65) = 4√65
so your answer should be:
LN = 4√65
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Question 4 pls help!!!!!!!
Answer choices:
A) construct a perpendicular line to a point not on the line
B) copy a segment
C)copy an angle
D) bisect and angle
Answers
Answer:
The answer is b because none of the other answers are reasonable.
Step-by-step explanation:
cuz im smart
please give brainliest
outside of johnny's home there is a grassy area about 40' x 100' that he mows regularly. beyond that grassy area is a wooded area and taller grass where his kids play hide and seek. johnny mows around the trees, but less frequently than the rest of the yard, and then he has several outbuildings in the wooded area as well. the whole area that has been described is enclosed by a fence. beyond the fence is an area that he does not maintain, and he keeps his collection of exotic marijuana plants hidden in the tall grass in this area. the curtilage of johnny's home is best identified as
Answers
Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.
What is perimeter?A perimeter is a closed path that surrounds, encircles, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is its circumference. Perimeter calculations have many applications in the real world.
Here,
the grassy area = 40' x 100'
He has numerous outbuildings in the forested area as well, and he mows the area surrounding the trees less regularly than the rest of the yard. A fence completely encloses the area that has been described. He maintains his collection of exotic marijuana plants hidden in the long grass in the area outside the fence, which is an area he does not maintain.
Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.
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Find the volume of this prism with height of 9 width if 6 length of 12
Answers
Answer:
SA = 124 cm².
V = 72 cm³
Step-by-step explanation:
answers for number 21 and 24 questions
Answers
22. f(x)=4.5
23. f(x)=1/4x+7/4 or f(x)=1/4x+1.75 or f(x)=1/4x+1 3/4. (Depends on how your teacher wants the y intercept written)
24. f(x)=-3/2x-7/2 or f(x)=-3/2x-3.5 or f(x)=-3/2x-3 1/2
a certain field is a rectangle with a perimeter of feet. the length is feet more than the width. find the width and length of the rectangular field.
Answers
The length and width of the rectangular field is 316 ft and 133 ft respectively.
An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.
It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.
Given,
perimeter of rectangular field = 898 ft
let width be 'x'
then,
length = x+183
The perimeter of a rectangle is,
[tex]P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133[/tex]
Thus, the width is 133 ft and length is (133+183)=316 ft.
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Your question is incomplete, here is the complete question.
A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?
How do you find slope with x1 and y1?
Answers
The slope of the line passes through two points is (y2-y1)/ (x2- x1).
Slope of a line:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Here we have to find the slope of a line that passes through two points.
Data given:
Point 1 = (x1, y1)
Point 2 = (x2, y2)
The general formula to find the slope of a line:
Slope(m) = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are two points on the line.
Therefore the slope is (y2-y1)/ (x2 - x1).
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At a school recess, there needs to be a ratio of 2 adults for every 24 children on the playground. The double number line represents the number of adults and children on the playground at recess. How many adults are needed if there are 72 children?.
Answers
A ratio of 2:24 kids (when simplified) is 1 parent for every 12 kids.
Now it’s a matter of simple multiplication. In order to get 72 kids, what times 12 equals 72?
The answer is 6.
the fox population in a certain region has an annual growth rate of 9% per year. in the year 2012, there were 20,700 foxes counted in the area. what is the fox population predicted to be in the year 2019? round to the nearest fox.
Answers
37,840 is the fox population predicted to be in the year 2019.
What is a growth rate?
The country, territory, or geographic area's yearly average rate of change in population size over a certain time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and the total population for that year.
Here, we have
A growth rate of 9% per year means that at the end of each year, the population is 1.09 times what it was at the start of the year.
We keep this up for t years, starting with an initial population of 20,700, and get
P(n) = 20,700 (1.09)ⁿ
n = years since 2012, when the population was 20,700
For the year 2019,
n = 2019 - 2012 = 7
P(7) = 20,700 (1.09)⁷ ≅ 37,840
Hence, 37,840 is the fox population predicted to be in the year 2019.
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Which triangle involves altitudes?
Answers
Answer:
The isosceles triangle altitude bisects the angle of the vertex and bisects the base. It should be noted that an isosceles triangle is a triangle with two congruent sides and so, the altitude bisects the base and vertex.
What is the solution to this equation? x over 5 equals 25
Answers
Answer: 5
Step-by-step explanation:
Because 5x5=25
5. Explain why 0.3 x 0.9=2.7. What is the correct answer?
Answers
Answer: No, it is
0.27
Step-by-step explanation: No, it is incorrect, because .3 x .9 is not greater than 100, so it would be regularly 3 x 9 (which is 27) and since it is less than 100, it would be 0.27. I hoped this answered your question :)
Given the function y= x2 + 10x +16=0
What are the x-intercepts of the function?
Answers
Answer:
(0,-8) and (0,-2)
Step-by-step explanation:
Factorize: x² + 10x + 16 = 0
You'll get: (x + 8)(x + 2) = 0
The roots are x = -8 and x = -2
So the curves intercepts the x-axis at (0,-8) and (0,-2)
Answer:
(-2,0) and (-8, 0)
Step-by-step explanation:
Factor the function:
(x + 2)(x+8) = 0
x = -2, -8
x intercepts are when y=0
Coordinates are:
(-2,0) and (-8, 0)
What is the value of the expression below when x= 6 x^2+10x+3
Answers
Answer: 99
Step-by-step explanation:
substitute 6 in to the x in the equation
[tex]6^{2} +10(6)+3[/tex]
36+60+3
96+3
99
Answer:
99
Step-by-step explanation:
(6)^2 +10(6)+3
6^2=6*6=36
10*6=60
36+60+3
99
Can a gerund be used in place of an infinitive if yes explain through examples?
Answers
Gerund can be used in place of infinitive depends on the sentence as this is a subjective.
Some of the sentence only use infinitive.Some of the sentences use both without change in the meaning.Some of the sentences used by both but by change in the meaning.Explanation:
Gerund can be used in place of infinitive in the sentence.
Infinitive is the basic form of verb without any change in the original form of word.Example : She likes to dance.Gerund : in simple explanation verbs ends with ing.Gerund is a verb form act as a noun.Gerund is a noun being either the subject or the object of the given sentence.Example : I like studyingThey are interchangeable or not depends on the sentence.This is a subjective.Some of the sentence only use infinitive.Some of the sentences use both without change in the meaning.Some of the sentences used by both but by change in the meaning.Therefore, gerund and infinitive are interchangeable or not depends on the sentence.
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Find the lower quartile for the data. [20, 3, 7, 2, 6, 3, 12, 7. 12. 2}
A. 6
B. 5
C. 3
D. 4
Answers
Answer:
6
Step-by-step explanation:
its 6
the sales tax rate is 7.25% in California, then how much would you pay in Los
Angeles for a pair of shoes that cost $39.00?
Answers
Answer:
The sales tax in California is 7.25%, which means that for every dollar you spend, you need to pay an additional 7.25 cents in sales tax. So if you buy a pair of shoes that costs $39.00, you would need to pay an additional $2.84 in sales tax (39 x 0.0725 = 2.84). This means that the total cost of the shoes would be $41.84 (39 + 2.84 = 41.84).
Step-by-step explanation:
Answer:
41.83
Step-by-step explanation:
39 x .0725 = 2.83 Tax rounded to the nearest cent
2.83 + 39 = 41.83
Find the demand function for the marginal revenue function. recall that if no items are sold, the revenue is 0.
R′(x)=0.06x2−0.05x+138
Answers
The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .
Given that,
We have to find for the marginal revenue function, locate the demand function.
Remember that the income is zero if no things are sold:
R'(x) = 0.06x² - 0.05x + 138
p(x) is what.
We know that,
MR = dTR/dx = 0.06x² - 0.05x + 138
Integrating the marginal revenue function , we get total revenue function,
MR = TR
= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x
= (0.06x³)/3 - (0.05x²)/2 + 138 x
TR = 0.02 x³ - 0.025 x² + 138 x
TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x
P = ( 0.02 x³ - 0.025 x² + 138 x)/x
P = 0.02x² -0.025x + 138
Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .
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Sheila is making accessories for the soccer team. She uses 722.56 inches of fabric on headbands for 28 players and 4 coaches. She also uses 241.64 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Answer:
27.72 inches of fabric
Step-by-step explanation:
28+3=31
Fabric used on each player:
559.24÷31=18.04
271.04÷28=9.68
help me pls i have the mind of a 6th grader lol
Answers
The equation used to find the answer is 26 -14 -6 =
what is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.
number of flowers picked by the girl = 14
number of flowers already with her = 6
number of flowers picked by her grand mother = 26
so her grandmother picked 26 - 14 - 6 flowers more than her. so then equation becomes 26 -14 -6 = ?
In conclusion, the equation that best describes the above is 26 -14 -6 = ?
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