Answers
Answer: [tex]m\angle 1=82^{\circ}, m\angle 2=128^{\circ}[/tex]
Step-by-step explanation:
By the same-side interior angles theorem,
[tex]m\angle 1=180^{\circ}-98^{\circ}=82^{\circ}\\\\m\angle 2=180^{\circ}-52^{\circ}=128^{\circ}[/tex]
Related Questions
Keisha devised a week-long study plan to prepare for finals. On the first day, she plans to study for 1 hour, and each successive day she will increase her study time by 30 minutes. How many hours will Keisha have studied after one week
Answers
Answer:
17.5 hours
I hope this helps and you can give a brainliest!
Step-by-step explanation:
Given: time spent per day follows the arithmetic sequence 1,1.5,2... (for 7 terms) with first term 1 and common difference 0.5 (in hours)
Concept used: the total study time is the partial sum S7of the given arithmetic series.
Calculation: As the number of terms is small, it can be calculated by hand.
S7 = 1+1.5+2+2.5+3+3.5+4
S7= 17.5 hours
Conclusion: Total time spent after one week is 17.5 hours
Answer:
17 and 1/2 hours.
Step-by-step explanation:
this is an arithmetic series with common difference 0.5 hours.
Number of hours after 7 days
= (n/2)[2a + (n -1)d]
= (7/2)(2*1 + (7-1)0.5)
= 3.5 * 5
= 17.5 hours
HELP HELP HELP
HELP HELP
HELP
(STEP BY STEP)
Answers
With some simple rearrangement, we can rewrite the numerator as
[tex]2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1[/tex]
Then factorizing the difference of squares, [tex]x^2-1=(x-1)(x+1)[/tex], we end up with
[tex]\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}[/tex]
Bob grows tomatoes in his garden. He picked four tomatoes, and weighed every possible grouping of three tomatoes. The results are 900 grams, 1400 grams, 1600 grams, and 1800 grams. What is the weight of the biggest tomato?
Answers could be 600, 800, 900, 1000, 1200
Answers
Answer:
1000.
Step-by-step explanation:
We need 4 weights where 3 of them add up to
900, 1400, 1600 or 1800g.
Not sure of the method for doing this!
Lets assume that the answer is 1000 g.
Then the 3 that make 1800 could be
1000 500 and 300
- then to make 900 we need a 100g tomato giving:
1000 500 300 and 100 grams
So the 1400 will be the 1000, 300 and 100 tomato
and the 1600 will be 1000, 500 and 100.
That seems to fit !!
WILL MAKE BRAINLIEST!! If m
Answers
Answer:
98
Step-by-step explanation:
m<KJU + m<UJI = m<KJI
this equation will help us find the value of x therefore the value of m<KJU
Rewrite the equation using the expressions
104 + x + x + 76 = 168 add like terms
180 + 2x = 168 subtract 180 from both sides
2x = -12 divide both sides by 2
x = -6 to find the value of m<KJU replace x with -6
104 + (-6) = 98
The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assistants. What is another way of writing this compound inequality?
x ≤ 8.00 and x < 9.50
x ≤ 8.00 or x < 9.50
x ≥ 8.00 and x < 9.50
x ≥ 8.00 or x < 9.50
Answers
Answer:
The 3rd answer down
Step-by-step explanation:
If I broke apart the initial answer, I would see that x is equal to or greater than 8 and x is less than 9.5
Explain why the triangles are similar, and then find the values of x and y.
Answers
The values of x and y from the figure is 9 and 5 respectively
Similarity theorem of triangleTwo triangles are similar if the ratio of the similar sides is equal to a constant. From the given diagrams;
x/(8+4) = 6/8
x/12 =6/8
8x = 6 * 12
8x = 72
Divide both sides by8 to have:
8x/8 = 72/8
x = 9
Similarly;
10+y/x = 10/6
10+y/9 = 10/6
10+y/9 = 5/3
Cross multiply
3(10+y) = 5(9)
30 + 3y = 45
3y = 45-30
3y = 15
y = 5
Hence the values of x and y from the figure is 9 and 5 respectively
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5 roses in a vase 12 flowers what is the ratio of all flowers in the vase of daisies
Answers
The ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
The number of flowers in the vase = 12 flowers
The number of roses in the vase = 5 roses.
Therefore, the number of daisies in the vase = The number of flowers in the vase - The number of roses in the vase,
or, the number of daisies in the vase = 12 - 5 = 7.
Thus, the number of daisies in the vase = 7.
We are asked to find the ratio of the total number of flowers in the vase, to the number of daisies in the vase.
Thus, the ratio = The number of flowers in the vase/The number of daisies in the vase,
or, the ratio = 12/ = 12:7.
Thus, the ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
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BP = _______ BC = ________ 13. AP = 3.5, PD = 6, PC = 4
Find BP and BC.
Answers
The measure of the length BP and BC are 6 and 10 respectively
Circle theoremThe given figure is a circle containing two chords AD and BC. From the given diagram, the following are true
AP = PC
BP = PD
BC = BP + PC
Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point.
Given the following parameters
AP = 3.5,
PD = 6,
PC = 4
According to the expression above;
BP = PD = 6
BC = BP + PC
BC = 6 + 4
BC = 10
Hence the measure of the length BP and BC are 6 and 10 respectively
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In AON networks, a(n) __________ is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.
Answers
In AON networks, "node" is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.
What is Activity-on-Node (AON) diagram?Scheduling logic diagrams of the most fundamental kind. Any activity on the schedule that has no float; Total Float = 0; is considered a critical activity.
Between the project's start and finish, there are vital activity(s) that must be completed continuously. This is known as the critical path.
The importance of AON diagram are-
Because it helps identify the essential path, the arrow diagram is crucial for the project timeline. The critical route is used to determine the most effective schedule while still achieving the objectives required for a project to be successful. The critical path indicates the longest time of every dependent task.It is possible to organize tasks and determine not only when they must be finished but also which ones must be performed and which ones can be skipped while still reaching the project's goals and objectives by creating a schedule. An arrow diagram is essential because of this. It results in the project's ideal schedule.To know more about the AOA and AON networks, here
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Determine the (x, y) coordinates of the vertex of the parabola that represents each of the following functions:
Answers
The vertices of the parabolae are:
(h, k) = (- 3, - 1)(h, k) = (1, - 9)(h, k) = (4, 1)(h, k) = (3/4, 9/4)(h, k) = (- 3, 2)(h, k) = (0, 36)(h, k) = (7/2, 9/4)(h, k) = (5, - 1)(h, k) = (1, - 3)(h, k) = (- 1/2, 1)How to find the coordinates of the vertex of a parabola
Parabolae are represented by quadratic equations. In this problem we have parabolae in standard form and we need to determine its vertex form to find the needed information. Now we summarize the forms of quadratic equations:
Standard form
y = a · x² + b · x + c (1)
Vertex form
y - k = C · (x - h)² (2)
Please notice that (x, y) = (h, k) represents the vertex of the parabola.
To change quadratic equations from standard form into vertex form we need to apply algebraic handling:
y = x² + 6 · x + 8
y + 1 = x² + 6 · x + 9
y + 1 = (x + 3)²
(h, k) = (- 3, - 1)
y = x² - 2 · x - 8
y + 9 = x² - 2 · x + 1
y + 9 = (x - 1)²
(h, k) = (1, - 9)
y = - x² + 8 · x - 15
y = - 1 · (x² - 8 · x + 15)
y - 1 = - 1 · (x² - 8 · x + 16)
y - 1 = - 1 · (x - 4)²
(h, k) = (4, 1)
y = - 4 · x² + 6 · x
y = - 4 · [x² - (3/2) · x]
y + (- 4) · (9/16) = - 4 · [x² - (3/2) · x + 9/16]
y - 9/4 = - 4 · (x - 3/4)²
(h, k) = (3/4, 9/4)
y = x² + 6 · x + 11
y - 2 = x² + 6 · x + 9
y - 2 = (x + 3)²
(h, k) = (- 3, 2)
y = - x² + 36
y - 36 = - x²
(h, k) = (0, 36)
y = - x² + 7 · x - 10
y = - (x² - 7 · x + 10)
y + (- 1) · (9/4) = - (x² - 7 · x + 49/4)
y - 9/4 = - (x - 7/2)²
(h, k) = (7/2, 9/4)
y = x² - 10 · x + 24
y + 1 = x² - 10 · x + 25
y + 1 = (x - 5)²
(h, k) = (5, - 1)
y = 2 · x² - 4 · x - 1
y = 2 · (x² - 2 · x - 1/2)
y + 2 · (3/2) = 2 · (x² - 2 · x + 1)
y + 3 = 2 · (x - 1)²
(h, k) = (1, - 3)
y = - 4 · x² - 2 · x
y = - 4 · [x² + (1/2) · x]
y + (- 4) · (1/4) = - 4 · [x² + (1/2) · x + 1/4]
y - 1 = - 4 · (x + 1/2)²
(h, k) = (- 1/2, 1)
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Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
77 m (nearest metre)
Step-by-step explanation:
Angle of Elevation
If a person stands at a point and looks up at an object, the angle between their horizontal line of sight and the object is called the angle of elevation.
To find how tall the flagpole is, model as a right triangle and solve using the tan trigonometric ratio.
Tan trigonometric ratio
[tex]\sf \\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven information:
Person height = 1.6 mHorizontal distance (from person to flagpole) = 35 mAngle of elevation = 65°Therefore:
[tex]\theta[/tex] = 65°O = height of flagpole less height of personA = 35 mAs the person is 1.6 m tall, we model the line of sight as 1.6 m above ground level. Therefore, when calculating the height of the flagpole, we will need to add the height of the person to the value found using the trig ratio.
Substitute the given values into the formula and solve for O:
[tex]\implies \sf \tan(65^{\circ})=\dfrac{O}{35}[/tex]
[tex]\implies \sf O=35\tan(65^{\circ})[/tex]
Therefore the height of the flagpole is:
[tex]\implies \sf 35\tan(65^{\circ})+1.6=76.65774222...[/tex]
[tex]\implies \sf Height\:of\:flagpole=77\:m\:(nearest\:metre)[/tex]
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Which function could be a stretch of the exponential decay function shown on the graph?
f(x) = 2(6)x
f(x) = One-half(6)x
f(x) = 2(one-sixth) Superscript x
f(x) = One-half (one-sixth) Superscript x
Answers
The function that could be a stretch of the exponential decay function shown on the graph is B. f(x) = One-half(6)x.
How to illustrate the function?From the information given, it can be seen that function A is a monotonically increasing function.
Also, it can be seen that C and D don't pass through (0, 1).
Therefore, the function could be a stretch of the exponential decay function shown on the graph is B.
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Answer:
b
Step-by-step explanation:
Drag each number to the correct location on the table. classify the real numbers as rational or irrational numbers.
Answers
The rational numbers are -5/250, [tex]\sqrt{400}[/tex] ,and irrational numbers are 5.012121212......., [tex]\sqrt[3]{30}[/tex] , 0.01562138411........,[tex]\sqrt{1000}[/tex]
Given six numbers:5.012121212..,[tex]\sqrt{1000}[/tex],[tex]\sqrt[3]{30}[/tex], -5/250, 0.01562138411.....,[tex]\sqrt{400}[/tex].
We have to identify which numbers are rational and which are irrational numbers.
Rational numbers are those numbers which can be written in p/q form where q cannot be equal to zero because if q is zeo then the value of p/q will be infinity.
Irrational numbers are those numbers which cannot be written in p/q form.
First number :5.0121212121....
In the above numbers 12 is repeating next to the decimals. So it is a irrational numbers.
Second number:[tex]\sqrt{1000}[/tex]
If we solve the above number we will find it 31.6227766017 . It is cannot be expressed in p/q form, so it is irrational number.
Third number:[tex]\sqrt[3]{30}[/tex]
The abov number is irrational number as we cannot express it in p/q form.
Fourth number:-5/250
The value of above number is -0.02.It can be in the form of -2/100. so it is rational number.
Fifth number:0.01562138411........
Because the digits are repeating after decimals so it is irrational number.
Sixth number:[tex]\sqrt{400}[/tex]
The value of above number is 20, so it is rational number.
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Question is incomplete as it should include figure.
The calculator shows the result that Enrique got after evaluating the expression 56 + 7 × (34 – 17) – 16 . He checked his work by rounding all of the values to the nearest ten and comparing it to the calculator result. Which is true regarding his estimate and the accuracy of his calculator result?
Answers
Answer:
The estimated result is 680, which suggests the calculator is incorrect.
answer choices would have helped, hope this helps :)
A solid lies between planes perpendicular to the x-axis at x0 and x. The cross-sections perpendicular to the axis on the interval 0x are squares with diagonals that run from the parabola to the parabola. Find the volume of the solid.
Answers
The volume of the solid is 900 cubic unit given that the solid lies between planes perpendicular to the x-axis at x = 0 and x = 19, the cross sections perpendicular to the x-axis on the interval 0 ≤ x ≤ 15 are squares with diagonals that run from the parabola y = - 2√x to the parabola y = 2√x. This can be obtained by finding the area of the square using the length of the diagonal.
What is the volume of the solid?
Given that, diagonals that run from the parabola y = - 2√x to the parabola y = 2√x
The length of the diagonal,D = 2√x - (-2√x)
D = 4√x
Using Pythagoras theorem,D² = s² + s², where s is the side of the square
(4√x)² = 2s²
16x = 2s²
s² = 8x
s² is the area
Area A = 8xThus,
volume V = ∫A dx, 0 ≤ x ≤ 15V = [tex]\int\limits^{15}_0 {8x} \, dx[/tex]
V = [tex]8\int\limits^{15}_0 {x} \, dx[/tex]
V = 4 (15² - 0)
V = 4×225
⇒ V = 900 cubic unit
Hence the volume of the solid is 900 cubic unit given that the solid lies between planes perpendicular to the x-axis at x = 0 and x = 19, the cross sections perpendicular to the x-axis on the interval 0 ≤ x ≤ 15 are squares with diagonals that run from the parabola y = - 2√x to the parabola y = 2√x.
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: A solid lies between planes perpendicular to the x-axis at x = 0 and x = 19. The cross sections perpendicular to the x-axis on the interval 0 ≤x ≤ 15 are squares with diagonals that run from the parabola y = - 2√x to the parabola y = 2√x. Find the volume of the solid.
make k the subject!
Answers
Need help with this,30 points, please help very soon, thanks
A small airplane makes a 2400 kilometer trip in 7.30 hours and makes the returned trip in six hours. If the plane travels at a constant speed wind blows at a constant rate, find the airplanes airspeed and the speed of the wind.
Answers
The speed of the airplane is 360 km/h while the speed of the wind is 40 km/h.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let a represent the speed of the airplane and b represent the speed of the wind, hence:
(a + b)6 = 2400
a + b = 400 (1)
Also:
(a - b)7.5 = 2400
a - b = 320 (2)
From eqn 1 and 2:
a = 360 km/h, b = 40 km/h
The speed of the airplane is 360 km/h while the speed of the wind is 40 km/h.
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Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
A. Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
B. Zoe is not correct because equilateral triangles have three acute angles. Acute
triangles have three acute angles, so acute triangles are always equilateral triangles.
C. Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
D. Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle.
HELP!
Answers
Answer:
Step-by-step explanation:
Discussion
She is correct.
An equilateral triangle is a specific acute triangle. An acute triangle can never be an equilateral triangle because it has 3 unequal angles. Your best choice is likely C, but none of the choices are first rate choices.
Answer: C
WILL GIVE BRAINLIEST IF YOU ARE CORRECT
Answers
The choice which best describes how to measure the center of these data is; both centers are best described by the median.
MedianThis is a measure of central tendency which helps determine the middle value in a data by rearranging the data either in an ascending order or a descending order.
Mean on the other hand, is used to find the best average of a data set.
Therefore, the mean cannot be used to find the center of the data.
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PLEASE HELP URGENT!!!
From-
~xXIndieKidXx~
Answers
Answer:
C. 9
Step-by-step explanation:
The cubed root of 729 is the number that is multiplied 3 times to get 729. In this case, it's 9.
9*9*9 = 81*9
81*9 = 729
Find the height of the basketball hoop to the nearest foot. a. 7 ft b. 10 ft c. 12 ft d. 15 f
Answers
The height of the basketball hoop to the nearest foot will be 12ft .
There are two ways to continue. The first method is to use trigonometric ratios.
You can use the tangent ratio because you have specified one leg and are trying to solve it with the other leg.
x equals the length of the other leg. .. Plug in known values.
Another way to find out is to monitor the angle. If the two angles are 45 degrees and 90 degrees, you can see that the third angle is 45 degrees. This makes it an isosceles triangle. That is, the other leg is 7 feet long.
2) Determine the height of the tire
Add 7 feet and 5 feet (human height):
7 + 5 = 12 feet
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Which problem could be solved with the expression 5 x ( 2 + 4 ) ÷ 6 ?
1. Hayden made 222 bracelets before school and 444 after school each day for 555 days. Then he split the bracelets into 666 equal groups. How many bracelets did Hayden have in each group?
2. Khai, the dog, ate 222 bones on Monday, 444 bones on Tuesday and 666 bones on Wednesday. On Thursday, she ate 555 times more bones than the other days combined. How many bones did Khai eat on Thursday?
3. Shadi is building a new back deck. He puts 222 nails and 444 screws in each board. He did this to 555 boards. How many total screws and nails did he use?
PLEASE ANSWER AS SOON AS POSSIBLE!
I know its a lot to read but I would REALLY appreciate if you could answer this with the problem numbers 1, 2, and 3. THANK YOU!
Answers
Answer:
1
Step-by-step explanation:
This is the only problem that could be answered with this equation, because you would add the bracelets he made (2+4) then times that number by the days he made them, 5, then divide by the number of groups, 6. Which equals 5 x ( 2 + 4 ) divided by 6.
I hope this helps!
PLS HELP PLS
Determine the length of side QR in the following triangle
Answers
Answer:
12.22 cm
Step-by-step explanation:
We'll be using cosine laws to solve for QR side:
[tex]\displaystyle{QR^2 = QP^2+RP^2-2QP\cdot RP \cdot \cos P}[/tex]
We know that QP = 13 cm, RP = 4 cm and cosP = 70°. Hence:
[tex]\displaystyle{QR^2=13^2+4^2-2(13)(4)\cos 70^{\circ}}[/tex]
Then evaluate the expression:
[tex]\displaystyle{QR^2=169+16-104 \cos 70^{\circ}}\\\\\displaystyle{QR^2=185-104\cos 70^{\circ}}\\\\\displaystyle{QR^2=185-35.57}[/tex]
Square root both sides, since length can only be positive. The negative side will be cancelled:
[tex]\displaystyle{\sqrt{QR^2}=\sqrt{185-35.57}}\\\\\displaystyle{QR=\sqrt{185-35.57}}\\\\\displaystyle{QR=12.22}[/tex]
Therefore, the length of QR will be around 12.22 cm or 12 cm when rounded to nearest integer.
Need Help with this question
Answers
Answer:
23/35
Step-by-step explanation:
there's 12 red cards and 23 black cards
total = 35 cards
probability to pick a black card = 23/35
Answer: 23/35
Step-by-step explanation:
Probability is the measure of the likelihood of an event occurring. It is measured by the number of favorable outcomes over the total number of possible outcomes.
Here, the event is a black card being drawn. Since there are 12 + 23 = 35 cards in the deck, there are 35 possible outcomes of what card is picked. Out of those 35 cards, 23 are black, making 23 of the 35 options be the option we want.
23 black cards out of 35 total cards can also be written as [tex]\frac{23}{35}[/tex], which is the probability that a black card is chosen.
Which function has the domain as y=2 square root of x
Answers
Using it's concept, any function with domain [tex]x \geq 0[/tex] has the same domain as [tex]y = 2\sqrt{x}[/tex].
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
Function [tex]y = 2\sqrt{x}[/tex] is defined for [tex]x \geq 0[/tex], hence any function with domain [tex]x \geq 0[/tex] has the same domain as [tex]y = 2\sqrt{x}[/tex].
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In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE
Answers
Answer: 9
Step-by-step explanation:
[tex]\frac{2}[3}=\frac{6}{DE}\\\\\frac{3}{2}=\frac{DE}{6}\\\\DE=9[/tex]
Matt's four cousins are coming to visit. There are four identical rooms that they can stay in. If any number of the cousins can stay in one room, how many different ways are there to put the cousins in the rooms
Answers
The total number of different ways there are to put the cousins in the rooms is; 15
How to use probability combinations?When we count the number of cousins staying in each room, it means that the possibilities are as follows; (4,0,0,0), (3,1,0,0), (2,2,0,0), (2,1,1,0), (1,1,1,1).
1) (4,0,0,0): This means that there is only 1 way to put all the cousins in the same room due to the fact that the rooms are identical.
2) (3,1,0,0): This means that there are 4 ways to choose which cousin will be in a different room than the others.
3) (2,2,0,0): This means that there are 3 ways to choose which of the other cousins will also stay in that room, and then the other two are automatically in the other room.
4) (2,1,1,0): This means that the number of ways to choose which cousins stay in the same room is; 4C2 = 6
5) (1,1,1,1): This means that there is only one way for all the cousins to the total number of possible arrangements is;
1 + 4 + 3 + 6 + 1 = 15each stay in a different room.
Therefore, the total number of possible arrangements is;
1 + 4 + 3 + 6 + 1 = 15
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Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
Answers
The true statement for h regarding the function is that C. h(2) = 16.
How to illustrate the function?From the information given, the function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25.
This illustrates that the range or h has to be less than or equal to 25.
The option that correctly fits this is C.
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90 pointssss!Please help! On parts a, b, and c. Thank you!
Answers
N
Mason is creating a design using a straightedge and compass. He wants to construct a segment FG, which is congruent to segment BE in the
given figure.
A. the distance from B to E
To what width should Mason set his compass when constructing segment FG?
OB.
O C.
O D.
the distance from D to F
The distance from F to c
A
the distance from A to C
F
A
D
Answers
The width that Mason should set his compass when constructing segment FG is: A. The distance from B to E.
WidthFG should be congruent to segment BE. Based on this Mason should set his compass to the width of segment BE when Mason is constructing segment FG.
Hence, the width that Mason should set his compass when constructing segment FG is the distance from B to E which is option is A.
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Answer:
b to e
Step-by-step explanation:
plato