Answer:
it is heptagon and sum of interior angles of heptagon is 900 °
123°+131°+ 125°+124°+x 129°+132° = 900°
764° +x = 900 °
x = 900°-764°
x = 136°
1) How many rows are in a truth table for a compound proposition with propositional variables p,q, and r ? 2) How many rows are in a truth table for the proposition (p∧q)∨(¬r∧ ¬q)∨¬(p∧t)?
There are 2^3 = 8 rows in a truth table for a compound proposition with propositional variables p, q, and r. There are 2^4 = 16 rows in a truth table for the proposition (p∧q)∨(¬r∧ ¬q)∨¬(p∧t). A truth table is a table that shows all the possible combinations of truth values for a compound proposition.
The number of rows in a truth table is 2^n, where n is the number of propositional variables in the compound proposition. In the case of a compound proposition with propositional variables p, q, and r, there are 3 propositional variables, so the number of rows in the truth table is 2^3 = 8.
The proposition (p∧q)∨(¬r∧ ¬q)∨¬(p∧t) has 4 propositional variables, so the number of rows in the truth table is 2^4 = 16.
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A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)
Answer:
D. 2,-1
Step-by-step explanation:
When a line is reflected by y=x, the x and y switch.
Find the value of z.
which statement described parallelism? question 6 options: a) all points of a surface perpendicular to the axis are equidistant from that axis. b) a surface is equidistant at all points from a datum plane or axis. c) a surface of revolution having all points equidistant from a common axis. d) none of the above
The statement that describes parallelism is option C: a surface of revolution having all points equidistant from a common axis. Parallelism refers to the condition in which lines or surfaces are equidistant and never meet.
In the case of surfaces of revolution, all points on the surface are equidistant from a common axis, which makes them parallel to each other. This means that any two points on the surface of the revolution will have the same distance from the axis. Parallelism is an important concept in geometry, engineering, and architecture as it allows for the construction of structures and machines that require precise and uniform spacing. Equidistance is also a key aspect of parallelism as it ensures that all points on the surface maintain the same distance from the axis, thereby preserving the parallel condition.
In summary, option C, "a surface of revolution having all points equidistant from a common axis," is the statement that describes parallelism.
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There are dishes that need to be rinsed. Ivan can rinse them in minutes by himself. It will take his friend Lamar minutes to rinse these dishes. How long will it take them if they rinse these dishes together
If Ivan can rinse the dishes in minutes and Lamar can rinse the same dishes in minutes, then their combined rinsing power is dishes per minute. To find out how long it will take them to rinse the dishes together, we need to use the formula:
Ivan's rate: 1 dish/minute
Lamar's rate: 1 dish/minute
When working together, their combined rate is the sum of their individual rates. So, the combined rate is (1 + 1) dishes/minute, which equals 2 dishes/minute.
Now, we can use the formula to find the time it takes for them to rinse the dishes together:
work = rate × time
dishes = (2 dishes/minute) × x
Since the number of dishes is the same for both Ivan and Lamar, we can set up an equation:
dishes = 2x
Solving for x, we find that it will take half the time for them to rinse the dishes together compared to doing it individually.
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Choose the answer below that expresses .74 as a fraction.
A
B
с
D
74
1,000
74
74
100
10
Answer:
74/100
37/50 (this is the answer if 74/100 is simplified)
Hope this helps :)
Explanation right below.
Step-by-step explanation:
The 4 in 0.74 ends in the hundredths place, so 74 will be put over 100 in a fraction to get 74/100. If 74/100 needs to be simplified then divide the numerator and denominator by 2 to get 37/50.
9. The table shows the relationship between the number of targets a person
hits in a game of laser tag and that person's score.
Targets hit
3
4 5 6
Score
8 16 24 32 40 48
0 1 2
0
The table shows relationship between the number of targets a person
hits in a game of laser tag and that score of that person. The table shows is a continuous graph.
What is a continuous function in a graph?As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil. In calculus, learning about a function's continuity is crucial since without it, a function cannot be differentiated.
If a function's graph is a continuous curve without any holes, gaps, or breaks, it is said to be continuous.
Now,
x-axis on the graph show "Target hit" and y-axis shows "Score"
Graph the points using a graphing calculator.
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The complete question is:
"The table shows the relationship between the number of targets a person
hits in a game of laser tag and that person's score.
Target hit 0 1 2 3 4 5 6
Score 0 8 16 24 32 40 48"
The ratio of alternative songs to total songs is 9:14. My music library has 308 total songs. How many are NOT alternative songs? (Set up a proportion and solve.)
Answer:
110
Step-by-step explanation:
Rate or proportion shows the relationship between the variation in the number of two variables.
Given that the ratio of alternative songs to total songs is 9:14.
Total songs = 308
Since the to every 14 total songs, there is 9 alternative songs.
Thus,
Number of alternative songs = \(\frac{9}{14}\) x 308
= 198
There are 198 alternative songs in the music library.
The number of songs that are NOT alternative songs = 308 - 198
= 110
Thus, there are 110 songs that are NOT alternative songs.
A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?
Answer:
Answer is in a photo.
Step-by-splanation:
Answer:
hey
Step-by-step explanation:
so i dont know
how to solve this and i cant help u
Please help me! This is urgent!
Answer:
her mistake was at 12-6+4
instead of adding 4 to negative six she subtracted it really should by 10-2 ad her answer should be 8
Step-by-step explanation:
In a class of 60 students, 20 can speak English, 35 can speak French, 20 can't speak neither English, nor French. What number of students speak both English and French?
Answer:
24
Step-by-step explanation:
253727737273762663552636626636277463726373782883847772
At the movie theatre, child admission is $5.30 and adult admission is $9.90. On Monday, 164 tickets were sold for a total sales of $1195.80. How many child
tickets were sold that day?
Number of child tickets:
х
$
2
I Don't Know
Submit
© 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use
Answer:
97 child tickets were sold.
Step-by-step explanation:
\(x+y=164\\5.30x+9.90y=1195.80\\\)
y=164-x
\(5.30x+9.90(164-x)=1195.8\)
\(1623.6-4.40x=1195.8\)
\(-4.40x=-427.8\)
\(x=97.23\)
the sum of two sumbers is 3 more than four times the firsst number. their difference is 10 less than twice the second number. find each of the numbers
The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.
Let's call the two numbers x and y, where x is the first number and y is the second number.
The problem gives us two equations that relate the two numbers:
\(x + y = 3 + 4x\\y - x = 2y - 10\)
We can substitute the expression for y from equation 1 into equation 2:
\(y - x = 2(3 + 4x) - 10\)
Expanding the right side and simplifying, we get:
\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)
Adding x to both sides:
\(y = 9x - 4\)
Substituting this expression for y into equation 1:
\(x + (9x - 4) = 3 + 4x\)
Expanding and simplifying the right side:
\(10x - 4 = 3 + 4x\)
Subtracting 4x from both sides:
\(6x - 4 = 3\)
Adding 4 to both sides:
\(6x = 7\)
Dividing both sides by 6:
\(x = 7/6\)
Substituting this value of x back into the expression for y:
\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)
So the two numbers are 7/6 and 5.
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What is the y-intercept of the line that is
perpendicular to y = -3x - 5 and passes
through the point (-3,7)?
A-3
B 1/3
C 8
D 10
Answer:
The y-intercept of the line would be (C) 8
Step-by-step explanation:
The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.
We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, \((7) = \frac{1}{3}( -3) + b\).
Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.
THE AREA OF A SECTOR IS A = 384 in².
A. IF THE RADIUS IS 24 IN. , WHAT IS THE MEASURE OF THE CENTRAL ANGLE, IN RADIANS?
B. IF THE CENTRAL ANGLE MEASURES RADIANS, WHAT IS THE RADIUS OF THE CIRCLE? ROUND TO THE NEAREST HUNDREDTH.
A) The measure of the central angle is \(\frac{4}{3} \pi\) .
B) The radius of the circle is 55.43 in.
A) We know,
The area of a sector is \(\frac{n}{2\pi } \pi R^{2}\)
where n = the degree of the central angle of the sector
R = radius of the circle
Suppose, the measure of the central angle is x.
\(\frac{x}{2\pi } .\pi .24^{2} = 384\pi\)
⇒ \(\frac{x}{2\pi } = \frac{384\pi }{576\pi }\)
⇒ \(x = \frac{384\pi }{576\pi } * 2\pi\)
⇒ \(x = \frac{4}{3} \pi\)
So, the measure of the central angle is \(\frac{4}{3} \pi\).
B) Suppose the radius of the circle is r in.
\(\frac{\pi /4}{2\pi } .\pi .r^{2} =384\pi\)
⇒\(\frac{1}{8} .\pi .r^{2} =384\pi\)
⇒ \(r^{2} = 384\pi / \frac{1}{8} \pi\)
⇒ \(r^{2} = 3072\)
As r > 0
So, r = 55.43
Hence, The radius of the circle is 55.43 in.
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How many degrees are there in the angle between the hour and minute hands of a clock is a quarter past two
The number of degrees there are in the angle between the hour and the minute hands of the described clock is; 30°
Angle measure on a wall clockThe conventional analogue wall clock is numbered 1 to 12.
On this note, there are 12 unit subdivisions on the clock.
Each unit subdivision covers angle measure;
360°/12 = 30°Since, at quarter past two; the hour arm of the clock is on 2 and the minute arm is on 3;
It follows that the degree measure of the angle subtended is; 30°.
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Original: $30.59
Discount:25%
New: ?
Hello!
The new value is $ 22,9425 or just $ 23 in a more simplified size.
We need to calculate 25% of 30.59.
We will do this by turning 25 into tenths:
0,25 × 30,59= 7,6475Now, we subtract that from 30,59.
30,59 - 7,6475
= 22,9425
So, the new value is $ 22,9425 or just $ 23 in a more simplified size.
_______________
Att. Isaiasdesign03
Moderator in Brainly BR
Sorry my English, I'm Brazilian. ☺
Solve 583 ÷ 6 = ___.
Ninety-seven and one-sixth
Ninety-seven and three-sixths
Ninety-seven and five-sixths
Ninety-seven and sixteen-sixths
Your answer would be D: Ninety-seven and sixteen-sixths
Evaluate 10.5x + 9.7y when x = 3 and y = 4.
Answer:
70.3
Step-by-step explanation:
substitute the given values for x and y into the expression
10.5x + 9.7y
= (10.5 × 3 ) + (9.7 × 4 )
= 31.5 + 38.8
= 70.3
Answer:
70.3
Step-by-step explanation:
10.5 (3) + 9.7 (4)
(31.5) + (38.8)
70.3
On a map of a fair, the Ferris wheel is located at (3, 2). The carousel is located 5 units south of the Ferris wheel. What ordered pair represents the location of the carousel?
Answer:
(3,-3)
Step-by-step explanation:
It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.
Finding Inverses
Find an equation for the inve
3.
y = 3x + 2
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
a person eating at a cafeteria must choose 3 of 19 vegetable on offer. calculate the number of elements in the sample space for this experiment
The number of elements in the sample space for this experiment is 969.
If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:
nCr = n! / [r!(n - r)!]
where n is the total number of items in the set and r is the number of items being chosen.
In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:
19C3 = 19! / [3!(19 - 3)!]
= 19! / (3!)(16!)
= 969
Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.
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PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
The Larger complement angle is 57 degrees and Small angle is 33 degrees.
Given about the complement angles.
Complement angles means, the two angles will add up to 90 degrees.
Then angles is x+(x-24)=90
⇒2x=90+24
⇒2x=114
⇒x=57
So, the larger angle is 57 degrees.
small angle is 90-57=33 degrees.
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which number is a compostite number in these numbers 2; 6; 16 ; 19; 25; 27; 31 ;33; 39 ;43 ;45
Answer:
6,16,25,27,33,39,45 are the composite numbers.
You might need:
Calculator
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x2 – 484
lesser x =
greater 2 =
Answer:
x = -11, x = 11
Step-by-step explanation:
Zeros are when g(x) = 0:
\(0=4x^{2} -484\)
\(0=4(x^{2} -121)\)
\(0=x^{2} -121\)
Factor:
\(0=(x-11)(x+11)\)
\(0=x+11, 0=x-11\)
\(x=-11, x=11\)
Please I need help and I will give brainliest
Answer:
he can fill up about 16 more
Step-by-step explanation:
It takes 3 hours to drive 180 miles. How long will it take to drive 330 miles?
Answer:
5.5
Step-by-step explanation:
180/3 =60 (60/1 hr)
330/60 =5.5
What is the rotation in degrees that transforms a triangle with vertices (2,0),(-3,5) , and (1,-2) into a triangle with vertices (0,2),(-5,-3) , and (2,1) ?
The degree of rotation that transforms triangle ABC into A'B'C' is 15.07°.
To determine the degree of rotation, you need to find the angle between any two sides of one of the triangles and the corresponding two sides of the second triangle.
Let the original triangle be ABC and the image triangle be A'B'C'. In order to find the degree of rotation, we will take one side from the original triangle and compare it with the corresponding side of the image triangle. If there is a difference in angle, that is our degree of rotation.
We will repeat this for the other two sides. If the degree of rotation is the same for all sides, we have a rotation transformation.
Angle ABC = \(tan^-1[(-2 - 0) / (1 - 2)] + tan^-1[(5 - 0) / (-3 - 2)] + tan^-1[(0 - 5) / (2 - 1)]\)
Angle A'B'C' = \(tan^-1[(1 - 2) / (2 - 0)] + tan^-1[(-3 - 2) / (-5 - 0)] + tan^-1[(2 - 1) / (0 - 2)]\)
Now, calculating the angles we get:
Angle ABC = -68.20° + 143.13° - 90° = -15.07°
Angle A'B'C' = -45° + 141.93° - 63.43° = 33.50°
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What is the independent variable
Answer:
Your answer is correct.
Step-by-step explanation:
Answer:
p
Step-by-step explanation:
when p changes, it causes the equation to change