Answers
Answer
X=117°
Step-by-step explanation:
Angle on a straight line =180°
101+y=180
y=180-101
y=79°
then: 38+79+z=180
z=180-38-79
z=63°
angle on a straight line=180°
63+X=180
X=180-63
X=117°
Related Questions
Use multiplication to solve the proportion
35/28 = n/12
Answers
Answer:
n=15, 35/28=15/12
Step-by-step explanation:
28/12=2.33
35/2.33= 15
15 points are placed on a circle. How many triangles is it possible to form, such that their vertices will be the given points?
Answers
Answer: 445 triangles can be form with 15 dots of a circle (I hope good luck)
Step-by-step explanation:
Answer:
455
Step-by-step explanation:
There are 15 points on a circle.
We need three points to form a triangle
Therefore the number of triangles = 15 choose 3 = 15!/(3!x12!) = (15x14x13)/(3x2x1) = 5x7x13 = 455
Hence the number of triangles formed is 455
Please help ASAP! I’ll give brainliest:))
Answers
Answer with explanation:
After dilation about the origin(0,0) with the scale factor of 'k" , the image of the original point (x,y) becomes (kx,ky)
From the given graph, the coordinates of point C = (0,6) [Since it lies on y-axis , the x-coordinate is zero]
After a dilation about the origin(0,0) with the scale factor of [tex]\dfrac{1}{2}[/tex], the new point will be [tex](\dfrac{1}{2}\times0,\dfrac{1}{2}\times6)=(0,3)[/tex]
Now plot this point on y-axis at y=3 as given in the attachment.
Pawan is 10 years older than Arav. 5 years ago one seventh of pawan's age was equal to one fifth of Arav's age. Find their present ages.
Answers
Answer:
Arav is 30 and Pawan is 40
Step-by-step explanation:
We can call Arav's age x and Pawan's age x + 10, therefore we can write the following equation:
1/7((x + 10) - 5) = 1/5(x - 5)
1/7(x + 5) = 1/5(x - 5)
5(x + 5) = 7(x - 5)
5x + 25 = 7x - 35
-2x = -60
x = 30 so x + 10 = 40
Help please ty ty Appreciate it
Answers
Answer:
a. 113.1 cm^3.
b. 339.29 cm^3.
c. 18 cm.
d. 508.94 cm^3.
e. 169.65 cm^3.
Step-by-step explanation:
a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 [tex]cm^{3}[/tex].
b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.
c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.
d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.
e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.
Hope this helps!!
Function (True/False)
Answers
Answer:
yes it is a function
Step-by-step explanation:
Mathematics
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Answer:
False
Step-by-step explanation:
A function has only 1 y value for any given x value.
You can use the "vertical line test" to check if a graph is of a function. Move a vertical line (you can use the edge of a ruler) from left to right across the graph. If at any point the line intersects the curve in two or more places, the curve is not a function.
Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)
Answers
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2
evaluate f(x)=-2x-5forx=3 -6 1 11 -11
Answers
Answer:
-11
Step-by-step explanation:
f(x)=-2x-5
Let x = 3
f(3) = -2 *3 -5
= -6 -5
= -11
A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n P=0.80n+5.50 What is the price for 10 balls, not including the entrance fee?
Answers
Answer:
$8
Step-by-step explanation:
It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.
Answer:
$8
Step-by-step explanation:
A King wanted to replace his Prime-Minister but didn't want to upset him too much. So he called the Prime-Minister to his chamber and put two pieces of paper in his briefcase. He told the Prime-Minister that "On one piece of paper it says 'leave' and on the second piece of paper it says 'stay'". The piece of paper that you pull out of the briefcase will decide your fate." The Prime-Minister realized that both pieces of paper say 'leave'. What should the Prime-Minister do to be able to keep his position?
Answers
Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation:
Evaluate 4 - 0.25g + 0.5h when g = 10 and h = 5
Answers
Answer:
4
Step-by-step explanation:
Well first we need to plug in 10 for g and h for 5.
4 - .25(10) + .5(5)
4 - 2.5. + 2.5
1.5 + 2.5
= 4
Thus,
the answer is 4
Hope this helps :)
Answer:
4
Step-by-step explanation:
We are given the expression:
4 - 0.25g + 0.5h
We know that g= 10 and h=5. Therefore, we can substitute 10 and 5 into the expression.
4-0.25(10)+0.5(5)
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, multiply 0.25 and 10
4-2.5+0.5(5)
Next, multiply 0.5 and 5
4-2.5+2.5
Next, subtract 2.5 from 4
1.5+2.5
Finally, add 1.5 and 2.5
4
4 - 0.25g + 0.5h when g=10 and h=5 is 4.
Please answer this question now
Answers
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
Charlie used a regression calculator to generate the equation f(x) = –0.15x + 20.1 for the ordered pairs (2, 15), (4, 21), (6, 26), (8, 20), and (10, 14).
Is a linear representation the best way to represent the data? If it is, explain why. If not, explain why and suggest a better alternative.
Answers
Answer and Step-by-step explanation:
According to the given situation, The r-value associated with the ordered pairs for the linear function is very nearest to zero which does not results in adequate presentation of the outcome.
A quadratic model could properly comprise of a combination of data, as the set of data has a turning point.
This result in data rises and falls which represents the graph of quadratic's graph
A linear representation is not the best way to show the data from the equation as derived from the regression calculator.
What is the linear representation about?Note that when plotted on a graph, it will show an upside down u kind of shape, and it as such look linear is not a good choice.
Note also that the r-value is linked with the ordered pairs for the linear function as it is said to be closer to zero and thus, it does not show an adequate depiction of the outcome.
Therefore, A linear representation is not the best way to show the data from the equation as derived from the regression calculator.
Learn more about from
https://brainly.com/question/15206457
#SPJ2
Look at the figure shown below: A triangle RPQ is shown. S is a point on side PR and T is a point on side PQ. Points S and T are joined using a straight line. Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45. Statement Reason 1. Segment ST is parallel to segment RQ Given 2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent 3. Angle SPT is congruent to angle RPQ Reflexive property of angles 4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate 5. 60: (60+x) = Corresponding sides of similar triangles are in proportion Which of the following can she use to complete statement 5? a 60:(48 + 36) b 60:36 c 48:36 d 48:(48 + 36)
Answers
Answer:
d:48:(48+36)
Step-by-step explanation:
cause the length PT corresponds to PQ so the value of PT which is 48 corresponds with the value of PQ which is 48+36 I guess
Option d 48:(48+36) is the correct option.
Given that:
Statements that Nora wrote are:
Statement Reason
1. Segment ST is parallel to segment RQ Given
2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent
3. Angle SPT is congruent to angle RPQ Reflexive property of angles
4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate
5. 60: (60+x) = ?
It is the property that a line intersecting and cutting a triangle which is parallel to a side of that triangle has those cuts with proportionate measures.
In the given figure, the above fact is shown symbolically as:
[tex]\dfrac{PS}{PR} = \dfrac{PT}{PQ}\\[/tex]
Thus we have :
[tex]\dfrac{60}{60+x} = \dfrac{48}{48+36}\\[/tex]
Thus Option d 48:(48+36) is the correct option.
Learn more here:
https://brainly.com/question/10677856
please help :) Choose the expression that is equivalent to the expression: 2 x 2 x 2 x 2 A. 2 x 4 B. 4 to the 2 power C. 2 to the 4 power D. 2 x 2 x 2 x 2 x 4
Answers
Answer:
C. 2 to the 4'th power
Step-by-step explanation:
2x2x2x2 is 4 2's, the number of 2's indicates the power, so the answer would be 2 to the power of 4 because there are 4 2's
Hope this helps, If you have any questions, feel free to ask.
Have a good day! :)
Answer:
C 2 to the power of 4
Step-by-step explanation:
There are 2*2*2*2* 4 of the 2 so 2 to the power of 4
The diagonals of a quadrilateral are of lengths 6cm and 8cm. If the diagonals bisect each other at the right angles. Find the length of each side of quadrilateral ?
Answers
Answer:
Each side is 5 cm
Step-by-step explanation:
What you are being told is that the figure is a rhombus. The two sides of a right triangle are 1/2 the size of the diagonals.
a = 3
b = 4
c = the side length of the rhombus.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
Take the square root of 25
sqrt(c)^2 = sqrt(25)
c = 5
Please answer this question now in two minutes
Answers
Answer:
ObtuseStep-by-step explanation:
[tex]In -an-obtuse -triangle;R^2>P^2+Q^2\\\\Largest-side = R\\\\.2nd -largest side =Q\\\\3rd -largest = P\\\\R^2>P^2+Q^2\\15^2 >6^2+8^2\\225>36+64\\225>100[/tex]
I hope it helps :)
Select the correct answer. An inverse variation includes the point (2,12). Which point would also belong in this inverse variation? A. (3,-8) B. (-8,-3) C. (1,6) D. (-6,1)
Answers
Answer:
d
Step-by-step explanation:
please help :) What is 96,989,200 written in scientific notation? A. 96.9892 × 10 to the 5 power B. 9.69892 × 10 to the 7 power C. 9.69892 × 10 to the 6 power D. 9.69892 × 10 to the 8 power
Answers
Answer: B. 9.69892 × 10^7
You'd have to move the imaginary decimal at the end of the number 96,989,200 seven times in order to get only one number that isn't zero before the decimal point.
In an experiment, three people toss a fair coin one at a time until one of them tosses a head. Determine, for each person, the probability that he or she tosses the first head. Verify that the sum of the three probabilities is 1.
Answers
Answer:
Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.
Step-by-step explanation:
The coin theoretically could give a very large number of tails first so each person's probability is made up of an infinite series.
P(1st person wins) = P(H) + P(TTTH) + P(TTTTTTH) + . . . etc
= 1/2 + (1/2)^4 + (1/2)^7 + (1/2)^10 + . . .
This is a geometric series with first term a = 1/2 and common ratio r = 1/8
Using formula a/(1 - r) this is (1/2)/(7/8) = 4/7
P(2nd person wins) = P(TH) + P(TTTTH) + P(TTTTTTTH)
= (1/2)^2 + (1/2)^5 + (1/2)^8 + . . .
Geometric series with sum (1/4)/(7/8) = 2/7
P(3rd person wins) = P(TTH) + P(TTTTTH) + P(TTTTTTTTH) + . . .
= (1/2)^3 + (1/2)^6 + (1/2)^9 + . . .
Geometric series with sum (1/8)/(7/8) = 1/7
Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.
Hope this helped!
show a quadrilateral ABCD in A is(2,8) and B is (8,6) .the point c lies on the perpendicular bisector of AB and the point D lies on the y- axis. the equation of BC is 3y=4x-14 and angle DAB=90° find
(a) the equation of AD
(b) the coordinates of D
(c) the equation of perpendicular bisector of AB
(d) the coordinates of C
show the area of triangle ABC is 10 units and find the area of the quadrilateral ABCD
Answers
Answer:
(a) y = 3x + 2; (b) (0,2); (c) y = 3x - 8; (d) (2,-2)
(e) Area of ∆ABC = 30; (f) Area of ABCD = 40
Step-by-step explanation:
(a) Equation of AD
(i) Slope of AB
m₁ = (y₂ - y₁)/(x₂ - x₁) = (6 - 8)/(8 - 2)= -2/6 = -⅓
(ii) Slope of AD
m₂ = 3
(ii) y-intercept
y = 3x + b
8 = 3(2) + b= 6 + b
b = 2
The equation of AD is y = 3x + 2.
(b) Coordinates of D
The coordinates of D are (0,2).
(c) Equation of perpendicular bisector of AB
(i) Mid-points of AB
x = ½(x₂ + x₁) = ½(8 + 2) = ½(14) = 5
y = ½(y₂ + y₁) = ½(6 + 8) = ½(14) = 7
The coordinates of the mid-point are (5,7).
Slope = 3
y = mx + b
7 = 3(5) + b = 15 + b
b = 7 - 15 = -8
The equation of the perpendicular bisector is y = 3x - 8.
(d) Coordinates of C
C is at the intersection of BC and the perpendicular bisector of AD.
y = 3x - 8
3y = 4x - 14
3y = 9x - 24
0 = 5x - 10
5x = 10
x = 2
y = 3(2) - 8 = 6 - 8 = -2
The coordinates of C are (2,-2).
(e) Area of ∆ABC
A = ½bh = ½ × 10 × 6 = 30
(f) Area of ABCD
Area of ∆ACD = ½bh = ½ × 10 × 2 = 10
Area of ABCD = ∆ACD + ∆ABC =10 + 30 = 40
Joe and Danny have just won 350 arcade tickets. If each arcade game can be played with 12 tickets, how many will they have left over at the end of the day, if they play the maximum number of games?
Answers
Answer:
2 tickets left
Step-by-step explanation:
12✖️29=348
350-348=2
Answer:
If they play the maximum number of games, there will be two tickets left over.
Step-by-step explanation:
For this problem, I used long division.
350 divided by 12 comes out to be 29.
29 is the maximum number of games they could play.
29 times 12 is 348.
350 (the total number of tickets) minus 348 (number of tickets used) comes out to be two.
Hope this helps! Brainliest would really help me out :)
What is the range of the function?
Answers
***HOPE This Help You***
Please help urgently ❤️❤️❤️
Answers
Greetings from Brasil...
Here we have application of Trigonometry
COS β = adjacent side ÷ hypotenuse (H)
bringing to our problem....
COS A = AC ÷ H
But we dont have AC.... We have to use Pitagoras:
AB² = AC² + BC²
AC² = AB² - BC²
AC = √(AB² - BC²)
AC = √(10² - 8²)
AC = √(100 - 64)
AC = √36
AC = 6So
COS A = AC ÷ H ⇔ COS A = AC ÷ AB
COS A = 6/10
COS A = 3/5Answer: B) 3/5
Step-by-step explanation:
Cos = adjacent/hypotenuse
Thus, the cos is AC/AB.
Because of Pythagorean Theorem, AC^2=AB^2-BC^2. Let AC be x.
[tex]x^2=10^2-8^2\\x^2=100-64\\x^2=36\\x=6[/tex]
Thus, the cos is 6/10, or 3/5
n the kite, AC = 10 and BD = 6. What is the area of kite ABCD? 15 square units 30 square units 45 square units 60 square units
Answers
Answer:45
Step-by-step explanation:
Answer:
B. 30 square units
Step-by-step explanation:
Edge 2021
If you have 2345 and you multiple it by 2 divide it by 6 and add on 22299 what will the answer be?
Answers
Answer:
69242/3 or 23080.666667
Step-by-step explanation:
2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.
2345 × 2
= 4690
4690/6
= 2345/3
2345/3 + 22299
= 69242/3
For which situations is it appropriate to use a sample? Select three options.
Answers
Answer:
when there are a lot of options
to experiment
to test
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities? x + 3y > 6 y ≥ 2x + 4 PLEASE HELP
Answers
A system of inequalities can be solved graphically.
See attachment for the required graph
The inequalities are given as:
[tex]\mathbf{x +3y > 6}[/tex]
[tex]\mathbf{y \ge 2x + 4}[/tex]
The options are not given.
So, I have attached the graph that illustrates the solution to the system of inequalities
From the graph, we have the solutions as:
[tex]\mathbf{x >-0.857}[/tex][tex]\mathbf{y \ge 2.286}[/tex]Read more about graphs of inequalities at:
https://brainly.com/question/15748955
which ordered pair is a solution of the equation -3x+5y=2x+3y PLEASE HELP ASAP
Answers
Answer:
Every pair where y is equal x multiplied by 2.5for exapmle: (2, 5) {5=2•2.5}
(8, 20) {20=8•2.5}
(-5, -12.5} {-12.5=-5•2.5}
Step-by-step explanation:
-3x + 5y = 2x + 3y-3y+3x -3y+3x
2y = 5x÷2 ÷2
y = 2.5xAnswer:
neither
Step-by-step explanation:
The cosine function reaches a value of 0 when x is equal to
Answers
Answer:
Step-by-step explanation:
The values of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.