Answer:
61
Step-by-step explanation:
Using the exterior angle theorem,
\(c-15+c-18=c+28 \\ \\ 2c-33=c+28 \\ \\ c-33=28 \\ \\ c=61\)
What is the answer to this equation cause I can’t figure it out 16-(-12)=
♡ The Question/Task ♡
What's the answer to this equation?
16-(-12)
16 - (-12)
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
28
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Step-By-Step/Explanation provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-I recommend copy and pasting your equation/question, for example, 16 - (-12), into a browser! It'll automatically solve with a calculator, and the answer will appear in an answer bar!
9a + 12b + 2a
Help please !
Answer:
11a+12b
Step-by-step explanation:
9a+12b+2a=11a+12b
The angle 01 is located in Quadrant IV and cos (01) = 3/5
Answer:
4/5
Step-by-step explanation:
Using the Pythagorean Identity,
\( \sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1\)
Note that
\( \cos {}^{2} ( \alpha ) \)
is basically
\(( \cos( \alpha ) ) {}^{2} \)
So that means
\( \cos {}^{2} ( \alpha ) = ( \frac{3}{5} ) {}^{2} = \frac{9}{25} \)
So we have
\( \sin {}^{2} ( \alpha ) + \frac{9}{25} = 1\)
Solve for sin a.
\( \sin {}^{2} ( \alpha ) = \frac{25}{25} - \frac{9}{25} \)
25/25 is the same as 1.
\( \sin {}^{2} ( \alpha ) = \frac{16}{25} \)
Take the square root.
since sin is positive in the first quadrant, take the principal square root.
\( \sin( \alpha ) = \frac{ \sqrt{16} }{ \sqrt{25} } \)
\( \sin( \alpha ) = \frac{4}{5} \)
A random sample of 125 basketball players were asked if they wore hightop or lowtop shoes while playing. The results are shown in this table. Based on the data in the table, select Correct or Incorrect for each statement. Correct Incorrect The male basketball players prefer hightop shoes. Correct – The male basketball players prefer hightop shoes. Incorrect – The male basketball players prefer hightop shoes. The female basketball players prefer hightop shoes. Correct – The female basketball players prefer hightop shoes. Incorrect – The female basketball players prefer hightop shoes. Basketball players’ gender does not seem to affect shoe preference for the players in the survey. Correct – Basketball players’ gender does not seem to affect shoe preference for the players in the survey. Incorrect – Basketball players’ gender does not seem to affect shoe preference for the players in the survey. Hightop shoes Lowtop shoes Male 40 10 Female 60 15.
The statement "Basketball players' gender does not seem to affect shoe preference for the players in the survey" is incorrect.
Based on the data in the table, we can determine the correct or incorrect statements:
Correct – The male basketball players prefer hightop shoes.
The data shows that out of the male basketball players surveyed, 40 of them prefer hightop shoes, while only 10 prefer lowtop shoes.
Incorrect – The female basketball players prefer hightop shoes.
The data shows that out of the female basketball players surveyed, 60 of them prefer hightop shoes, while 15 prefer lowtop shoes. Therefore, more female players prefer hightop shoes, not lowtop shoes.
Incorrect – Basketball players' gender does not seem to affect shoe preference for the players in the survey.
The data clearly shows a difference in shoe preference based on gender. Among male players, a larger proportion prefers hightop shoes, while among female players, there is also a preference for hightop shoes, although not as pronounced as among males.
In summary:
The male basketball players prefer hightop shoes.
The female basketball players also show a preference for hightop shoes, but it is not as pronounced as among males.
Therefore, the statement "Basketball players' gender does not seem to affect shoe preference for the players in the survey" is incorrect.
Please note that the conclusions are based on the given data in the table and may not necessarily represent the preferences of all basketball players in general.
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Pleaseeeee help no links
Answer:
they are alternate exterior angles (i pretty sure)
Step-by-step explanation:
HELP ASAP
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answer:
\(gy78093 x^{2} 67\)
Step-by-step explanation:
Jack walked up a hill at a speed of $(x^2-11x-22)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2-3x-54)$ miles in $(x 6)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour
Jack and Jills' speed in miles per hour is 4
How to determine the speed in miles per hour?The given parameters are:
Jack speed = x^2-11x-22
Jill distance = x^2-3x-54 and time = x + 6
Speed is calculated as:
Speed = Distance/time
So, we have:
Jill speed = x^2-3x-54/x + 6
Factorize the numerator
Jill speed = (x + 6)(x - 9)/x + 6
Cancel the common factor
Jill speed = x - 9
Both speeds are equal.
So, we have:
x^2-11x-22 = x - 9
Collect like terms
x^2-11x - x -22 + 9 = 0
Evaluate
x^2 - 12x - 13 = 0
Factorize the expression
(x + 1)(x - 13) = 0
Solve for x
x = -1 or x = 13
x cannot be negative.
So, we have:
x =13
Substitute x =13 in Jill speed = x - 9
Jill speed = 13 - 9
Evaluate
Jill speed = 4
Hence, their speed in miles per hour is 4
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How i can answer this question
60m
How?
5m × 3m × 4m
5m × 3m = 15m
15m × 4m = 60m
Therefore
the answer is 60
Help, it's due today
:(
Answer:The first 1 is 98
The second one I have no idea sorry-
Same with third one
and forth 1 sorry I cant help u with the last 3 I hope someone else does :)
Step-by-step explanation:
A parkingmeter charges$2 perhour.As a driverparks hercar,she noticesthat the parkingmeterhas15 minutesremainingonitfromthe previousdriver whousedthe parking spot.Ifthedriverinsertsd dollarsintotheparkingmeter and theparkingmeter has 3 hoursremainingon itas a result,write an equationtosolve ford?
Answer:
3 = 0.25 + 0.5d
Step-by-step explanation:
Given that:
Amount charged per hour = $2
Time left before inserting $d = 15 minutes
Total time after inserting $d = 3 hours
Total time of 3 hours = time left by previous driver + hours purchased with $d
$2 = 1 hour
$d = x
2x = d
x = d/2 ; 0.5d
Since 15 minutes is left before inserting $d
15 minutes to hour ; 15/60 = 0.25
Total time of 3 hours = time left by previous driver + hours purchased with $
3 = 0.25 + 0.5d
Filling swimming pools A hose can fill a swim-
ming pool in 6 hours. Another hose needs 3 more
hours to fill the pool than the two hoses combined.
How long would it take the second hose to fill the
pool
Answer:
I think it would take it 9 hours
What part of the circle is shown in purple?
Answer:
Radius
Step-by-step explanation:
I know the answer
Answer:
Radius
Step-by-step explanation:
Suppose A is a 4x3 matrix and b is a vector in R4 with the property that Ax=b has a unique solution. What can you say about the reduced echelon form of A? Justify your answer. Choose the correct answer below. A. The first term of the first row will be a 1 and all other terms will be 0. There is only one variable Xm, so there is only one possible solution. B. The first 3 rows will have a pivot position and the last row will be all zeros. If a row had more than one 1, then there would be an infinite number of solutions for am*m=bm.
C. There will be a pivot position in each row. If a row did not have a pivot position then the equation Ax = b would be inconsistent. D. The first row will have a pivot position and all other rows will be all zeros. There is only one equation to solve, so there is only one solution.
There will be a pivot position in each row. If a row did not have a pivot position then the equation Ax = b would be inconsistent. The correct answer is C.
What is the matrix?A matrix is a collection of numbers, encompassed by brackets.
The numbers are known as matrix elements or entries. The components are organized in rows (horizontal) or columns (vertical), which determine the matrix's size (dimension or order).
This statement C is true because, in the reduced echelon form of a matrix, the pivot position in each row indicates the non-zero leading term in that row, which corresponds to a unique unknown variable. If a row did not have a pivot position, then the corresponding equation would be equivalent to 0 = b, which is inconsistent.
Therefore, in order for Ax = b to have a unique solution, it is necessary that each row in the reduced echelon form of A has a pivot position.
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At the start of 2014 Lucy's house was worth £200 000
The value of the house increased by 5% every year.
Work out the value of her house at the start of 2017.
Answer:
200000 x 1.05^3=231525
Step-by-step explanation:
X 1.05 because the price is increasing by 5% and ^3 because there are three years between 2014 and 2017
If you were to graph the equation you just created in question 1, what three points
could you put on the line? You may graph your equation if you get stuck to help find
your points.
Y=0.80x100 (I don’t know if that will help)
Hence, three points. That can be plot on graph by using this linear equation are(0 ,0) (1 ,80) (2 , 160)
What is a linear equation?A linear equation is a two-variable equation that, when plotted on a graph, results in a straight line. Each term in the equation, which has a degree of 1, has an exponent of 1. Real-world events like the correlation between temperature and time of day are modelled using linear equations. Y = mx + b, for instance, is a linear equation where m is the line's slope and b is the y-intercept
We may use the slope-intercept form of a linear equation, which is y=mx+b where m is the slope and b is the y-intercept, to graph the equation Y=0.80x100.
In this instance, y=0.80x100 can be written as y=80x.
This line has an 80 percent slope, which means that for every increase in x of one, y rises by 80 percent.
We can select any three x values and then determine the matching y values to locate three locations on this line.
As an illustration,
if we select x=0, then y=80(0)=0
gives us the point. (0,0).
If we select x=1, then y=80(1)=80 and
we are presented with the point. (1,80).
If we select x = 2, then y = 80(2) = 160
giving us the point. (2,160).
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graph the line y=kx+1 if point M belongs to the line.
M(2,7)
By using the definition of the equation of the line and algebraic handling, the equation of the line that passes through the point M(x, y) is y = 3 · x + 1.
How to derive the equation of a line that passes on a given point
In this problem we find the case of a line equation of the form y = k · x + 1, where k is the slope of the line, that passes on the point M(x, y) = (2, 7). To find the equation, we need to need to substitute on variables x and y and clear k, before presenting the corresponding equation.
If we know that x = 2 and y = 7, then the equation of the line is:
7 = k · 2 + 1
7 = 2 · k + 1
2 · k = 6
k = 3
Thus, the equation of the line that passes through the point M(x, y) is y = 3 · x + 1.
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PLS ASAP AND TY IF U ANSWERED
Answer:
3.5 un
Step-by-step explanation:
to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7
this is basically dividing 24.5 by 7
24.5 / 7 = 3.5
that is your answer
Is the following statement true or false?
A plane has an endpoint.
A plane has no endpoints.
The statement is false.
Given,
A plane has an endpoint.
We need to see whether the given statement is true or false
What is a plane?
A plane can be of two types:
- 2 dimensional plane with 2 axes: x-axis and y-axis.
- 3 dimensional plane with 3 axes: x-axis, y-axis, and z-axis.
All the axis will have points till infinity.
We have,
A plane consists of axes that have no endpoints.
x-axis:
< -∞-------(-6)--(-5)--(-4)--(-3)--(-2)--(-1)--0--1--2--3--4--5--6---------∞>
Similarly with the y-axis:
^
-∞
|
|
6
5
4
3
2
2
0
-1
-2
-3
-4
-5
-6
|
|
|
-∞
∨
Thus a plane has no endpoints.
The statement is false.
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factor the expression below
x^2 + 18x + 81
Answer:
(x + 9\()^{2}\)
Step-by-step explanation:
\(x^{2}\) + 18x + 81
=\(x^{2}\) + 18x + \(9^{2}\)
= (x + 9\()^{2}\)
I NEED SERIOUS HELP NOW PLZ
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.
Answer:
Step-by-step explanation:
Hello,
\((y-9)^2=(y-9)(y-9)=y^2-2*9*y+9^2=y^2-18y+81\)
thanks
Answer:
yes
Step-by-step explanation:
14. Find the slope of the line that passes through the two points: (5, 10) and point
(10, 20)
find the measure of ∠6 please help! answer and how to do it?
Answer:
56 degrees
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Opposite angles of two parallel lines formed by crossing by third line are equal
2. The two rays of an angle are called the_____
and_____
Please HELPPP. A student graphs points on the coordinate plane.
Which point could be removed from the student's graph so that the remaining
points represent a function?
A.
B.
OA
(7,-9), (4, 10), (13,0), (6, 10), (-9,0), (-4, 1), (13,3)
(4,10)
(13,0)
C. (7.-9)
D.. (6,10)
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.
50 Points
Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b
Answer:
A) x = 15
Step-by-step explanation:
4x - 30 = 2x
subtract 2x from each side of the equation:
2x - 30 = 0
add 30 to each side:
2x = 30
x = 15
Answer:
\( \displaystyle A) {15}^{ \circ} \)
Step-by-step explanation:
remember that,
when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said
\( \displaystyle 4x - 30 = 2x\)
cancel 2x from both sides:
\( \displaystyle 2x - 30 = 0\)
add 30° to both sides:
\( \displaystyle 2x = 30\)
divide both sides by 2:
\( \displaystyle x =15\)
hence
our answer is A)
This worksheet is a review of circles and lines, and will give you some practice with algebra and with graphing. Also, this worksheet introduces the idea of "tangent lines" to circles. Later on in Math 124, you'll learn how to find tangent lines to many other types of curves. Two circles, called C1 and C2, are graphed below. The center of C_1 is at the origin, and the center of C_2 is the point in the first quadrant where the line y = x intersects C1. Suppose C1 has radius 2. C2 touches the x and y axes each in one point. What are the equations of the two circles?
The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
The equation of a circle with centre (a,b) and radius r is given by (x-a)^2 + (y-b)^2 = r^2.
C1 has centre (0,0) and radius 2, so its equation is (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4.
C2 touches the x and y axes each in one point, so it must have a centre on the line y=x and a radius equal to the distance from the centre to either of those points of tangency. Since the centre of C2 is on the line y=x and it is in the first quadrant, the coordinates of the centre are (1,1). The distance from the centre to the point of tangency on the x-axis is 1, so the radius is 1. The equation of C2 is (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
Therefore, The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
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Mia is participating in a kite-flying competition. She wanted to find out how long is the string needed for fly her kite 33 meters from the ground if she is 56 meters away from the kite.
how do i do this assignment while showing the work?
The length of the string needed is 65 meters
What is an equation?An equation is an expression that shows how numbers and variables using mathematical operators.
Pythagoras theorem shows the relationship between the sides of a right angle triangle.
To find the length of string, Mia needs. A triangle is formed with hypotenuse (l) represent the length of string. The height of the kite (h) = 33 m which is the triangle height; while the 56 m is the base of the triangle (b). Hence:
l² = b² + h²
l² = 33² + 56²
l = 65 meters
The length of the string needed is 65 meters
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ethan sorts shapes into two groups as shown what mistakes does ethan make use the drop down menus to explain the mistakes ethan makes
Using the bottom rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
How to spot mistakes?The image showing the two groups is as shown in the brainly link attached at the end.
From the attached file in the brainly link, we see that the shapes are grouped using the following criteria:
All the shapes in group 1 have 4 square corners.All the shapes in group 2 have exactly 1 square corner.Using the above rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
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determine whether the series converges or diverges. [infinity] ln(k) k k = 1 converges diverges
The given series, ∑(k=1 to infinity) ln(k)/k, converges. To determine whether the series converges or diverges, we can analyze it using the limit comparison test.
Let's consider the harmonic series ∑(k=1 to infinity) 1/k, which is a well-known divergent series. We can compare our given series with the harmonic series by taking the limit of the ratio of their terms as k approaches infinity.
lim(k→∞) (ln(k)/k)/(1/k) = lim(k→∞) ln(k) = ∞.
Since the limit of this ratio is infinite, it means that the given series grows faster than the harmonic series. As a result, our series also diverges. However, we need to be careful when using the limit comparison test. We should check if the terms of the series are positive, which is the case here. The positive terms and the divergence of the harmonic series confirm that our given series diverges. Therefore, the statement in the question that the series converges is incorrect. The series actually diverges.
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why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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