Step-by-step explanation:
all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).
90/360 = 1/4
so, we need 1/4 of the circle circumference :
2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =
= 7.853981634... m
therefore, the third answer is correct.
Write 4x²(4x² + 4x³) in standard form.
Answer:
[tex]16x^{5} + 16x^{4}[/tex]
-5+(-3).I know the answer is -8 but how because a negative plus a negative is a positive.
Answer:
“two negatives = positive” rule works for multiplication and division.
Step-by-step explanation:
-5 + (-3) example
imagine a number line with 0 in the center. From (0) You move left 5 places to (-5) on the number line. Now you move another 3 more to the left (-3) and land on (-8).
You are combining the negatives. I hope this helps.
1st Spin
4
5
2nd Spin
What is the probability of
spinning a green, spinning
a purple, and then flipping
a coin that lands on tails?
1
20
2|5
The probability of spinning a green, spinning a purple, and then flipping a coin that lands on tails will be 0.02
How to calculate the probability?From the information given, the probability of spinning a green, spinning a purple, and then flipping a coin that lands on tails will be calculated thus:
= 1/5 × 1/5 × 1/2
= 0.2 × 0.2 × 0.5
= 0.02.
Therefore, the probability is 0.02.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Which of the following is a trinomial?
OA. √11x-7
OB.
B. X-1
8
OC. 2x+4
OD. 5x2+3x+6
5x² + 3x + 6 is the only trinomial from the given expressions
What is Expression?An expression is combination of variables, numbers and operators.
A trinomial is a polynomial with three terms. In the given options, we need to identify the expression that has exactly three terms.
√11x - 7, has two terms: √11x and -7.
It is not a trinomial because it doesn't have three terms.
x - 1, has two terms: x and -1.
It is not a trinomial for the same reason as option OA.
2x + 4, has two terms: 2x and 4.
It is not a trinomial because it doesn't have three terms.
5x² + 3x + 6, has three terms: 5x², 3x, and 6.
It fits the definition of a trinomial because it has three terms.
Therefore, 5x² + 3x + 6, as it is the only expression among the options that is a trinomial.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
4= 5√x
What’s the answer to this?
Answer:
16/25 or 0.64
Step-by-step explanation:
First we separate the 5 from 5√x :
4 = 5×√x
Now we divide both sides by 5 :
4/5 = √x
Now we square both sides :
(4/5)² = x
Simplify :
16/25 = x
0.64 = x
Hope this helped and brainliest please
The box plot below represents some data set. What is the interquartile range (IQR) of the data?
Guys, can you please help me complete 3 remaining statements about The Quadratic Relations for me, please? :)
Answer:
To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a. If [tex]a < 0[/tex], the parabola is also reflected in the x-axis.
To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a. If [tex]a > 1[/tex] or [tex]a < -1[/tex], the graph is stretched vertically by a factor of a.
To graph [tex]y=(x-h)^2[/tex], you translate the graph of [tex]y=x^2[/tex] horizontally h units. If [tex]h < 0[/tex], the graph is translated h units to the left.
#39
y=x²Then
y=-ax² as a is negativeThe parabola is reflected about x axis
#40
a>1 or a<-1
Theis should be vertically streched by factor a
*41
horizontal translation=hunits
So the graph is shifted h units left
Choose the best answer
-3a>0 and 8-9a<-19
Answer:
The first option
Step-by-step explanation:
the sign only flips when there is a negative number.
i hope this is correct
URGENT PLEASE HELP!!
petrus takes a bus to school. The bus travels at an average speed of 40km/h. The school is 9km from his house. How many minutes does he take to get to school?
Answer:
13.5
Step-by-step explanation:
speed = distance/time
let the time be x
40 = 9/x
so, x = 9/40
to convert it into minutes,
(9/40)*60 = x
(9*60)/40 = x
540/40 =x
54/4 = x
27/2 = x
13.5 = x
hope this helps :)
Answer:
27/2 is the answer
Question 1 of 10
A triangle has two sides of lengths 5 and 12. What value could the length of
the third side be? Check all that apply.
A. 5
B. 19
C. 17
D. 7
E. 11
F. 9
Anne wants to create a data display to summarize prices of the 264 homes for sale in her area.
The data display that is best for Anne's purpose is: D. a histogram, because the bars show the frequency of data points within different ranges.
What is histogram?Histogram is a graph that help to the following into different rages
Distribute dataGroup and organize dataDisplay frequency distributionSummarize data etc.Based on the data given Anne should make us of histogram based on the fact that the graph shows the frequency of the data points that are within different ranges.
Therefore the correct option is D.
Learn more about histogram here:https://brainly.com/question/16424842
#SPJ1
click on the picture. I really need help and would appreciated.
Answer:
the value of x is 12 and the measure of angle MNQ is 23
the questions:
What is the median value of each data set?
Compare the median values of the data sets by stating which one is greater and what their difference is.
What does this comparison tel, you in terms of the situation the data represent?
What is the range in battery life for Y?
If Mary bought 12 of the Brand X, how many of them lasted more than 14 hours.
Answer:
I'd rather ask G.oogle
Step-by-step explanation:
btw brainliest me
please help ‼️‼️
What is the measure of m?
m = [?]
Give your answer in simplest form.
Answer:
m = 10
Step-by-step explanation:
Find 'n' first..... then pythag theorem for 'm'....
n is to 5 as 15 is to n
n/5 = 15/n
n^2 = 75 n = sqrt (75)
Then m^2 = n^2 + 5^2
m^2 = 75 + 25 s-o-o-o-o: m = 10
If sin Q = 4/5, cos P + cos Q
The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know that:
P + Q are complementary, which means that
P+Q = 90°
Then R is a right angle, i.e. it measures 90°.
sin(90-x) = cos (x)
cos(90-x) = sin (x)
Then sinQ = 4/5
cos(90-Q) = cosP = 4/5
Now sin²(P) + cos²(P) = 1
sin²(P) = 1 - cos²(P)
sin²(P) = 1 -[4/5]² =9/25
sin(P) = 3/5
cos(Q) = sin(P) = 3/5
cos(P) + cos(Q) = 4/5 + 3/5 = 7/5
Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
3x+2y=39
5x-y=13
What is the solution to the system of equations
Answer:
I assume ur asking for x and y
Step-by-step explanation:
[tex]3x + 2y = 39 \: \: \: \: \: 1 \ \\ \ 5x - y = 13 \: \: \: \: \: \: \: \: 2 \\ y = 5x - 13 \: \: \: \: \: \: \: \: 3 \\ 3 > 1 \\ 3x+ 2(5x - 13) = 39 \\ 3x + 10x - 26 = 39 \\ 13x = 39 + 26 \: \: \: \: \: \: ( \div 13) \\ x = 5 \\ x = 5 > 3 \\ y = 5(5) - 13 \\ y = 12[/tex]
Answer:
(5, 12 )
Step-by-step explanation:
3x + 2y = 39 → (1)
5x - y = 13 → (2)
multiplying (2) by 2 and adding to (1) will eliminate y
10x - 2y = 26 → (3)
add (1) and (3) term by term to eliminate y
13x + 0 = 65
13x = 65 ( divide both sides by 13 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (1)
3(5) + 2y = 39
15 + 2y = 39 ( subtract 15 from both sides )
2y = 24 ( divide both sides by 2 )
y = 12
solution is (5, 12 )
Which of the following is the square of a binomial?
A. 4m^2 - 6mn + 9n^2, B. 16x^2 + 24xy + 9y^2, C. c^2 - 2cd - d^2, D. a^2 + b^2.
All options except Option D , a² + b² , is the square of the binomial.
What is a Binomial ?A polynomial that contains only two term is called a Binomial.
The sum of square of a binomial is the sum of square of the first term , square of second term and twice of the product of the first and second term.
(a+b)² = a² +b² +2ab
(a-b)² = a² +b²-2ab
The options have to be broken down into this form to check whether they are square of a binomial
Option A : 4m² - 6mn + 9n² = (2m -3n)²
Option B: 16x² + 24xy + 9y²=(4x+3y)²
Option C : c²- 2cd - d²=(c-d)²
Option D : a² + b² cannot be written as the square of binomial.
All options except Option D is the square of the binomial.
To know more about Binomial
https://brainly.com/question/11379135
#SPJ1
Enter the coordinates of the point
on the unit circle at the given angle.
330°
(-)
[?]
Answer: [tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]
Step-by-step explanation:
this forms a 30 degree reference angle
and this is in the 4th quadrant
When the angle is 30 degrees, the coordinates are:
[tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]
The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).
How to convert the polar coordinate to a cartesian coordinate?The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.
The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,
x = r cos θ
y = r sin θ
The angle is 330° and the radius is one. Then we have
x = 1 x cos 330°
x = (√3) / 2
y = 1 x sin 330°
y = - 1/2
The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).
More about the polar coordinate to a cartesian coordinate link is given below.
https://brainly.com/question/13333610
#SPJ2
What is 1.7⎯⎯ expressed as a fraction in simplest form?
Answer:
17/10 or 1 7/10
Step-by-step explanation:
Step 1: Write down the number as a fraction of one:
1.7 = 1.7/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
1.7/1
= (1.7 × 10)/ (1 × 10)
= 17/10
(This fraction is alread reduced, We can't reduce it any further).
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 17/
10 is also equal to 1 7/10 when expressed as a mixed number.
Two points are:
A. always collinear and always coplanar.
B. always collinear and sometimes coplanar.
C. sometimes collinear and sometimes coplanar.
D. sometimes collinear and never coplanar.
cindy bought 7/8 yards of ribbon at the craft store . jacob bought 4/5 the length of ribbon as cindy. how many yards of ribbon did jacob buy.
Answer:
7/10
Step-by-step explanation:
If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of \overline{AB} AB is: Part A The X portion of the midpoint is __________________. Part B The Y portion of the midpoint is _________________.
Step-by-step explanation:
it is very simple :
the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.
the x coordinate of the midpoint is
(0 + 10)/2 = 10/2 = 5
the y coordinate of the midpoint is
(-2 + -6)/2 = -8/2 = -4
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
An equation is formed of two equal expressions. The equation of the perpendicular bisector is y=(1/3)x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of the line that passes through (2, 4), (3, 1), and (4,-2), are,
m = (4-1)/(2-3) = 3/-1 = -3
Since the product of the slope of two perpendicular lines is -1. The slope of the perpendicular line is,
m₁m₂ = -1
(-3) m₂ = -1
m₂ = 1/3
Since the line is the perpendicular bisector it will pass through midpoint,
1 = (1/3)(3) + C
1 = 1 + C
C = 0
Hence, the equation of the perpendicular bisector is y=(1/3)x.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
Which of the following best describes the graph shown below?
A. This is not the graph of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is not one-to-one.
D. This is the graph of a linear function.
Answer: the answer is C
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to describe the graph shown in the attached picture.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Please see below! ^^
Is the graph a function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.
[tex]\underline{\rule{50}{1}}[/tex]
Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.
One down, three to go! ^^
Is the graph a one-to-one function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph
[tex]\underline{\rule{50}{1}}[/tex]
Since a horizontal line touches the graph more than once, this function is not one-to-one.
Option B. isn't right either.
Two down, two to go! ^^
However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.
So I choose Option C.
Let's ensure our answer is correct by checking the last option:
Is the graph a linear function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.
[tex]\underline{\rule{50}{1}}[/tex]
As we can see, the given graph is not a staight line; thus, Option D. is also wrong.
Thus, Option C. is the correct answer.
Hope it helps you out! :)
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
8x+2 ≥74 or 6-6x ≥30
Solve
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
≥
9
Interval Notation:
[
9
,
∞
)
Step-by-step explanation:
-a-10 = 5a +8 pleasee help me
Answer:
a=-3
Step-by-step explanation:
5a+a=-10-8
6a=-18
a=-18/6
a=-3
Answer:
a = -3
Step-by-step explanation:
This is a linear equation in one variable that has a constant term and a variable term on each side of the equal sign. It can be solved in 3 steps, so can be called a "3-step equation."
The three steps involve separating the variable and constant terms, then dividing by the variable's coefficient.
__
-a -10 = 5a +8 . . . . . . given
step 1To separate the variable and constant terms, we eliminate one of the variable terms by adding its opposite to both sides of the equation. It is generally convenient to choose the variable term with the lowest coefficient value. When we add the opposite of that to both sides of the equation, the resulting variable term will have a positive coefficient. (Dealing with positive numbers generally reduces errors.)
Here the two variable terms are -a and 5a. The coefficient -1 is less than the coefficient 5, so we choose to add the opposite of -a to both sides.
-a +a -10 = 5a +a +8 . . . . . add a to both sides
-10 = 6a +8 . . . . . . . . . . . simplify
step 2Now there is only one variable term, but it has a constant added to it. We can eliminate that constant by adding its opposite.
-10 -8 = 6a +8 -8 . . . . . add -8 to both sides
-18 = 6a . . . . . . . . . . . simplify
step 3This equation gives us the value of a multiple of the variable (6a). To get the variable by itself, we multiply by the reciprocal of the variable's coefficient. The product of the coefficient and its reciprocal is 1, so we will have the variable alone.
Multiplying by 1/6 is the same as dividing by 6. Often, it is easier to think in terms of division. However, when the coefficient is a fraction, it can be useful to think in terms of multiplying by the reciprocal of that fraction.
(1/6)(-18) = (1/6)(6a) . . . . . . multiply by 1/6
-3 = a . . . . . . . . . . . . . . . simplify
The solution to the equation is a = -3.
_____
Additional comment
When we say "add" or "multiply" the equation by some number, we mean that operation to be performed on both sides of the equation. The properties of equality say we can do whatever we like to an equation, as long as we do the same thing to both sides of the equation.
As the sample size increases, the margin of error _____.
As the sample size increases, the margin of error decreases.
What is margin of error?A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.
From the formula:
MOE = z × √σ²/n
Where
σ = standard deviation
z = quantile
n = sample size
MOE = margin of error
From the formula, sample size is inversely proportional to the margin of error.
Hence, as the sample size increases, the margin of error decreases.
Learn more about margin of error here:
https://brainly.com/question/10218601
#SPJ1
In the figure below, find the exact value of y. (Do not approximate your answer.)
Image is attached, this is for a mastery grade, please help!
Will give brainliest to first right answer! Thank you!
The exact value of the y in the similar right triangle is 2.2360679775 units
How to find the side of a triangle?The triangles are similar.
Similar triangles have corresponding sides of equal ratio.
The corresponding angles of similar triangle are equal.
Therefore, using similar ratio,
y / 5 = 1 / y
cross multiply
y × y = 5 × 1
y² = 5
square root both sides
y = √5
Therefore,
y = 2.2360679775 units
learn more on triangles here: brainly.com/question/2773823
#SPJ1
Answer:
Step-by-step explanation:
Givens
Observe the small triangle at the right. The smallest side is one.
The hypotenuse is y
In the largest tringle, the hypotenuse is 5
The smallest side is y
You can set up a ratio for this situation
Equation
smallest side - smallest triangle Largrest triangel -- largest side
============================ =========================
hypotenuse - smallest triangle hypotenuse -- largest triangle
1/y = y / 5 Cross Multiply
Solution
y^2 = 1*5 Take the square root of both sides.
√y^2 = √5
y = √5
or
y =
Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD
Answer + Step-by-step explanation:
GRASS method is an acronym for Given, Required, Analysis, Solution, and Statement.
Given:
Charles has $50.00 (total)Charles spent 1 / 4 on a gift card (spent means subtract from total)Charles spent 5 / 8 on a new wallet (spent means subtract from total)Required:
The question asks: “How much money is leftover?” From this we know we have to find the leftover amount. Find: x = ?Analysis:
50 (total) = x + 1/4 + 5/8 than solve for x
how much money leftover (x)
= total - spent on gif card - spent on new wallet
x = 50 - 1 / 4 - 5 / 8
Solution:
x = 50 - 1/4 - 5/8
1/4 of 50 is 50 / 4 = 12.5x = 50 - 12.5 - 5/8
5/8 of 50 is 50/8 = 6.25 this is 1/8 of the pricethan multiply by 5 to get 5/8, 6.25 x 5 = 31.25x = 50 - 12.5 - 31.25
x = 6.25
Statement:
We found that the leftover amount is $6.25.
Therefore, the leftover amount of money with a starting amount of $50.00 and purchasing a gift card and new wallet is in fact $6.25.
Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each turn player A targets a pair of points and player B says whether those two points are connected or unconnected. A can target each pair only once and the game ends when all pairs have been targeted. Player B wins iff a point is connected with all other points on the very last turn, while player A wins if any point is connected with all other points on any turn but the very last one OR if no point is connected to all other points after the last turn. For what values of n does either player have a winning strategy?
The values of n that either player has a winning strategy is when the number of points are odd such as 3:-
How to depict the strategy?The game is begun by A and then its chance of B to play the game alternatively, then all the possible moves are 1,2; 2,3; 1,3 in which all possible pairs are selected.
If the game end on an even number of moves then the game is won by A. For B to win, these points should be connected at the very end of the game.
Similarly, for even number of moves B wins the game when number of points is odd.
If the number of points is even the opposite of this happens that is, for even moves B wins and for odd number of moves A wins.
Learn more about strategy on:
https://brainly.com/question/24499246
#SPJ1