Answer:
14 seats in row 1.
Step-by-step explanation:
We must calculate how many seats there are for row 1, for that we are going to see the behavior that it takes from row 10 to 8, like this:
row 10 there are 41 and in row 9 there are 38, the difference would be:
41 - 38 = 3
now in row 9 there are 38 and in row 8 there are 35, therefore the difference would be:
38 - 35 = 3
Therefore, we can assume that each row less, there are 3 seats less, therefore:
41 - (10-r) * 3
where r would be the row, therefore if it is row 1 it would be:
41 - (10-1) * 3 = 14
Therefore there are 14 seats in row 1.
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answer:
mRP = 125°
mQS = 125°
mPQR = 235°
mRPQ = 305°
Step-by-step explanation:
Given that
mROP = 125°∠ROP is a central angleThen:
measure of arc RP, mRP = mROP = 125°Given that
∠QOS and ∠ROP are vertical anglesThen:
mQOS = mROP = 125°measure of arc QS, mQS = mROP = 125°Given that
∠QOR and ∠SOP are vertical anglesThen:
mQOR = mSOPGiven that
The addition of all central angles of a circle is 360°Then:
mQOS + mROP + mQOR + mSOP = 360°
250° + 2mQOR = 360°
mQOR = (360°- 250°)/2
mQOR = mSOP = 55°
And (QOR and SOP are central angles):
measure of arc QR, mQR = mQOR = 55°measure of arc SP, mSP = mSOP = 55°Finally:
measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°
measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°
11 You deposit $1200 in an account. The annual interest rate is 3%. How long will it take you to earn S108 in simple interest?
Answer:
its wht u r searching for...
Answer:
3 yearsSolution,
Principal=$1200
Rate=3%=3/100=0.03
Interest=$108
Time=?
Now,
[tex]t = \frac{i}{p \times r} [/tex]
[tex] = \frac{108}{1200 \times 0.03} \\ = \frac{108}{36} \\ = 3 \: years[/tex]
Hope this helps...
Good luck on your assignment..
Topic: Parallel and Perpendicular Lines
Progress
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answe
Match the information on the left with the appropriate equation on the right.
An equation perpendicular to y = {x + 3 through the point (4, - 1)
An equation parallel to y = = 3x - 4
w
Clear
Click and hold an item in one column, then drag it to the matching item in the other colu
target will highlight or the cursor will change. Need help? Watch this video.
Answer:
Step-by-step explanation:
an equation perpendicular to the equation given will have a slope of -1, because a perpendicular slope is opposite and reciprical. if it goes through the point 4,-1 and has a slope of -1, the y intercept has to be 3. y = -x + 3
parallel lines have to have the same slope of 3.
Answer:
The answer is A oon EDG
Step-by-step explanation:
I need help with this problem, if anyone could help ASAP, that would be much appreciated. Please do not answer if you don't know the answer because you're wasting my points. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find arc mRP, and arc MQS,
Answers:
minor arc RP = 125 degrees
minor arc QS = 125 degrees
============================================================
Explanation
Definition: A minor arc is a piece of a circle such that it is smaller than a semi-circle with the same radius. In other words, it's measure is always less than 180 degrees.
Based on this definition, a minor arc is where we take the shortest path between any two points on a circle. For minor arc RP, we start at R then go to the right and take the shortest path to P. We do not go left when we start at R because that's the longer path and it is the major arc.
Minor arc RP is subtended by central angle ROP = 120 degrees. This central angle is equal to the arc measure in question. This isn't really a theorem, but more a definition if anything.
Central angle QOS is equal to angle ROP through the vertical angles theorem. Any pair of vertical angles are always congruent. Since QOS is 125 degrees, so is minor arc QS.
Answer:
Arc RP is 125, Arc QS is 125, Arc QR is 55, and arc SP is 55
Step-by-step explanation:
We know Arc QS is 125 degrees because angle QOS is a vertical angle with Angle ROS, so Arc QS is 125, and ARC RP is 125. We can figure out the other two arcs using the knowledge that ARC QR is equal to arc PS because angle QOR an SOP are vertical angles and all the degrees have to add up to 360. From this we get 2x + 125 + 125 = 360. From here we simplify and get 2x + 250 = 360; 2x = 110; x = 55, so arc QR and ARC SP are both 55.
Hope this helps :)
can someone please help me
Answer:
The answer is -6p +1/7.
hope it helps...
PLZ HELP!! HURRY!!!30POINTS!!
Answer & Step-by-step explanation:
For this problem, we will be using the tangent trig ratio because we are dealing with the opposite side and the adjacent side of the triangle. Although cosine may be a good ratio to use as well, it is not the best ratio to use because if you were to use the cosine ratio, you will have more steps to complete in order to solve the problem. Plus, we are not dealing with the hypotenuse side of the triangle. Therefore, it is best to use the tangent ratio because it is more efficient and it corresponds to the side lengths we are using.
On the next page, we are given a Venn Diagram. We are asked to tell the difference between finding the angle and finding the side. Then, we are asked to find the similarity between them.
When solving for the unknown side, you have to flip the equation because one of the sides will be known as a variable.
When solving for the unknown angle, you have to use the inverse of the trig ratio that you are using for that problem.
The similarity between the two is that they will always use one of the trig ratios.
The table represents a linear function. Two Columns Five Rows Column X (-2,-1,0,1,2) and Column Y (8,2,-4,-10,-16) What is the slope of the function? a. -6 b. -4 c. 4 d. 6
Answer: A
Slope = -6
Step-by-step explanation:
Given that the column of the table are:
Column X (-2,-1,0,1,2) and
Column Y (8,2,-4,-10,-16)
Since the table represent a linear function, the equation of the function will obey the general linear equation
Y = MX + C
Where M = slope
M = ( Y2 - Y1 ) / ( X2 - X1 )
Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1
Substitutes all the parameters into the formula
M = ( 2 - 8 )/( -1 - - 2 )
M = ( 2 - 8 ) / ( -1 + 2 )
M = -6/1
M = -6
Therefore, the slope of the function is -6
On a piece of paper, graph f(x) =
(x if x <1 1 if x>_ 1
. Then determine which answer
choice matches the graph you drew
Graph of function is attached below.
Option D is correct.
To understand more, check below explanation.
Graph of function:We have to draw the graph of function,
[tex]f(x)=\left \{ {x, {x < 1} \atop {1, x\geq 1}} \right.[/tex]
The graph of above function is attached below,
For domain [tex]x > 1, f(x)=x[/tex]
For domain, [tex]x\geq 1, f(x)=1[/tex]
After observing attached graph, option D is correct.
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The function is plotted and is attached , Option D is the correct graph similar to one in the image.
What is a function ?It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (dependent).
It is given in the question that
f(x) =
x if x <1
1 if x>_ 1
The graph of above function is attached below,
For domain x > 1, f(x)=x
For domain, x≥ 1, f(x)=1
When we see the graph that have been plotted on the basis of domain, Option D is the correct graph similar to one in the image attached.
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Instructions: Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always
make sure to label your triangle first with your reference angle)
Answer:
x= 14.1
y= 19.4
(to the nearest tenth)
Step-by-step explanation:
Please see attached picture for full solution.
Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
X:2,4,8,12 Y:6,3,3/2,1
Answer:
- Inverse Variation
- Equation: [tex]XY = 12[/tex]
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
[tex]Y = kX[/tex]where k is the constant of variation
Make k the subject of formula
[tex]k = \frac{Y}{X}[/tex]
When Y = 6, X= 2
[tex]K = \frac{6}{2} = 3[/tex]
When Y = 3, X = 4
[tex]K = \frac{3}{4}[/tex]
There's no need to check further as both values of k are not equal
To check for inverse variation;
[tex]Y = \frac{k}{X}[/tex]
Make k the subject of formula
[tex]k = YX[/tex]
When Y = 6, X= 2
[tex]K = 6 * 2 = 12[/tex]
When Y = 3, X = 4
[tex]K = 3 * 4 = 12[/tex]
When Y = 3/2; X = 8
[tex]K = \frac{3}{2} * 8 = \frac{24}{2} = 12[/tex]
When Y = 1, X = 12
[tex]K = !2 * 1 = 12[/tex]
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of [tex]k = YX[/tex]
Substitute 12 for k
So, the equation becomes
[tex]12 = XY[/tex]
Reorder
[tex]XY = 12[/tex]
Hence, the equation is [tex]XY = 12[/tex]
Instruction
Active
Writing a Rule for a Rotation
Try it
What rule describes the rotation about the origin?
C'
(x, y)
4
tated about the
✓
2
A'
B'
(y, -x)
-4
-2
2
(-y, x)
B
A
-2
(-x-y)
(x, y)
Explanation:
Focus on one point, such as A = (1,2). Note how it moves to point A ' = (-1, -2). Both x and y coordinates have been flipped from positive to negative. The rule therefore is [tex](x,y) \to (-x,-y)[/tex]. This describes a 180 degree rotation (either clockwise or counterclockwise, it doesn't matter). Points B and C follow the same idea.
Side note: Lines AA', BB' and CC' all go through the origin (0,0).
Answer ASAPP IM TIMED PIC BELOW
Answer:
[tex]\frac{13}{3}[/tex] ÷ [tex](-\frac{5}{6})[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3}/(-\frac{5}{6})=\\\\\frac{13}{3}/(-\frac{5}{6})[/tex]
In a right triangle, one acute angle measures 50°. What is the measure of the other acute angle?
Answer:
40°
Step-by-step explanation:
The triangle is a right triangle, so one measure of one of the angles is 90 degrees.
One acute angle measures 50 degrees.
Angles in a triangle add up to 180 degrees.
180 - 90 - 50
⇒ 40
The measure of the other acute angle is 40 degrees.
Acute angles measure less than 90 degrees. 40 degrees is less than 90 degrees, so it is an acute angle.
The measure of the other acute angle is 40°.
Given that, in a right triangle, one acute angle measures 50°.
What is a right triangle?A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
Let the measure of other acute angle be x.
Using angle sum property of a triangle, we get
90°+50°+x=180°
⇒ x=180-140
⇒ x=40°
Therefore, the measure of the other acute angle is 40°.
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Cole and Rose are comparing their heights. Cole is 1.7 meters tall, Rose is 20 centimeters shorter than Cloe. What is Rose's height in centimeters? i need this fast
Answer:
[tex] \boxed{ \sf Rose's \ height = 1.5 \ m \ \ \ OR \ \ \ 150 \ cm} [/tex]
Given:
Cole's height = 1.7 m
Rose's height = 20 centimetres shorter than Cole
To Find:
Rose's height
Step-by-step explanation:
[tex]\sf 1 \ m = 100 \ cm \\ \\ \sf So, \\ \sf 1.7 \ m = 1.7 \times 100 \ cm \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 170 \ cm[/tex]
[tex]\therefore \ \sf Cole's \ height = 170 \ cm \\ \\ \sf \implies Rose's \ height = Cole's \ height - 20 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 170 - 20 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 150 \: cm[/tex]
[tex]\sf 1 \ cm = \frac{1}{100} \ m \\ \\ \sf So, \\ \sf 150 \ cm = 150 \times \frac{1}{100} \ m \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = \frac{150}{100} \:m \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = 1.5 \: m[/tex]
[tex]\therefore \ \sf Rose's \ height = 1.5 \ m[/tex]
Using algebra, Rose's height in centimeters is calculated as: 150 centimeters.
How to Apply Algebra to find the height in centimeters?Let's use algebra to find Rose's height in centimeters based on the given information.
Let's assume Rose's height in centimeters is represented by "R".
We know that Cole is 1.7 meters tall, which is equivalent to 170 centimeters.
According to the given information, Rose is 20 centimeters shorter than Cole. So, we can set up the equation:
R = 170 - 20
Simplifying the equation:
R = 150
Therefore, Rose's height in centimeters is 150 centimeters.
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Select the function that defines the given sequence. -11,-8,-5,-2,1,.... A. f(1)=-11 f(n) = f(n+1) + 3; for n = 2,3,4,.... B. f(1)=-11 f(n) = f(n-1) -3; for n = 2,3,4,.... C. f(1)=-11 f(n) = f(n-1) + 3; for n = 2,3,4,.... D. f(1)=-11 f(n) = f(n+1) - 3; for n = 2,3,4,....
Answer:
f(1) = -11
f(n) = f(n-1) +3 n=2,3,4,5
Step-by-step explanation:
-11,-8,-5,-2,1,....
We are adding 3 each time
-11 +3 = -8
-8+3 = -5
f(1) = -11
Take the previous term and add 3
f(n) = f(n-1) +3 n=2,3,4,5
PKEASE HELP Based on the graph, what is one solution of the equation f(x) = g(x)? graph of function f of x equals negative x plus one half and graph of function g of x equals x squared plus 3 multiplied by x minus 4 x = 1 x = −5 x = −4 x = −0.5
Answer:
x=1
x=-5
Step-by-step explanation:
we know that
The solution of the system of equations is the intersection point both graphs
In this problem there are two intersection points
so
The system has two solutions
we have
one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)
see the attached figure
therefore
x=1
x=-5
Step-by-step explanation:
what ordered pairs are the solutions of the system of equations shown in the graph below
Answer:
Step-by-step explanation:
One solution would be (1, -4), and the other would be (4, -7).
The ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In a order pair the first term indicates the x-coordinate, while the second term indicate the y-coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
System of equation-
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.For the two equations plotted on a graph, the solution of the system is the point where one line intersect with others.In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).
Thus, the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
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Over what interval is the function in this graph decreasing?
A. -10 sxs-4
O B. 2 sxs6
O C. 6 sxs 10
O D. -4sxs 2
Answer:
The answer is D.
Step-by-step explanation:
A triangle is rotated 90° about the origin. Which rule describes the transformation?
O (x, y) (-x,-y)
O (x,y) (-y, x)
O (x,y) (-y,-x)
O (x,y) → (y, -x)
Answer:
second option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x )
The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin. The rotation can be done either clock-wisely or counterclockwise about the origin.
If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)
If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)
In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.
Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
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Bob works at a café, where he earns $11 an hour. Which of the following
graphs describes the amount of money that Bob earns after x hours?
Answer: The graph shown in picture is correct answer.
Step-by-step explanation: An equation for this is 11x=$ he makes where x represent hours.
In graph some points would be (0,0) (1,11) (2,22).... .
Need help again! Thanks
Answer:
69.08 [tex] {m}^{2} [/tex]Step-by-step explanation:
Given,
Radius ( r ) = 1 m
Height (h) = 10 m
Surface area of cylinder= ?
Now,
Surface area of cylinder :
[tex]2\pi \: {r}^{2} + 2\pi \: r \: h[/tex]
[tex] = 2\pi \: r \: (r + h)[/tex]
[tex] = 2\pi \: \times 1(1 + 10)[/tex]
[tex] = 2\pi \: \times 1 \: \times 11[/tex]
[tex] = 22\pi[/tex]
[tex] = 22 \: \times 3.14[/tex]
[tex] = 69.08 \: {m}^{2} [/tex]
Hope this helps...
Good luck on your assignment..
The formula for the volume of a cylinder is V =
Answer:
A
Step-by-step explanation:
Let me know If you want me to explain it.
Answer:
A. h = V/(pi * r^2)
Step-by-step explanation:
V = pi r^2 h
Divide both sides by pi r^2.
V/(pi r^2) = h
The h variable is isolated now.
When plotting on a scatter plot, is the time x or y?
Applying the properties of exponents, which mathematical operation changes 2 1/3 to 2?
Hope this helps!
Stay safe and have a great day :D
The properties of exponents, which mathematical operation changes 2 1/3 to 2 is 2^(1/3) * 2^(2/3) = 2
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".How to solve this problem?The steps are as follow:
Applying the properties of exponents:a^m * a^n = a^(m + n)
So2^1 = 2^(1/3) * 2^n
2^1 = 2^(1/3)+n
1 = (1/3) + n
n = 2/3
So the properties of exponents, which mathematical operation changes 2 1/3 to 2 is 2^(1/3) * 2^(2/3) = 2
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Hi . Please help with any of these questions.
1. A man has in his pockets seventy five 50 kobo notes , Fifty 5-kobo coins and forty 10 -kobo coins . How much does he have all together in his pocket ?
A. N37.50
B. N40.00
C. N44.00
D. N46.50
E. N49.00
Please also help me with the one in the picture
Note:
100 Kobo = N1
1k = N0.01
Answer :
C. N44.00Cost price = N800 = DWhat is the diameter of this circle if the circumference is 30 x inches?
C-30x in
O 15 in
O 30 in.
O 45 in.
Please hurry❗️
O 60 in.
Answer:
B. 30 in
Step-by-step explanation:
The circumference is pi d.
30 pi = pi d
30 pi / pi = d
30 = d
math question will give brainliest for the right answer
Answer:
53 sweets.
Step-by-step explanation:
The mean out of 10 bags of sweets is 42. That means that all the numbers of sweets added up would be 420.
39 + 40(2) + 41(5) + 43 + x = 420
39 + 80 + 205 + 43 + x = 420
367 + x = 420
x = 53.
So, in the 10th bag, there are 53 sweets and a sugar high for whoever eats that many sweets.
Hope this helps!
Answer:
X=53 sweets
Step-by-step explanation:
What is the solution to 5/8 X -1/3 < 1 1/3
Answer:
x< 2 2/3
Step-by-step explanation:
5/8 X -1/3 < 1 1/3
Add 1/3 to each side
5/8 X -1/3+1/3 < 1 1/3+1/3
5/8x < 1 2/3
Change to an improper fraction
5/8 x < 5/3
Multiply each side by 8/5 to isolate x
8/5 * 5/8x < 5/3 * 8/5
x < 8/3
Changing back to a mixed number
x< 2 2/3
Find the value of B - A, if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5.
Answer:
25
Step-by-step explanation:
u stink
Please help Brainly answer I will crown