A park is mapped on a coordinate plane, where C1, C2, C3, and C4 represent chairs and SW1, SW2, and SW3 represent swings. How far is C2 from SW1? A. 89−−√ units B. 145−−−√ units C. 97−−√ units D. 41−−√ units
Answers
Answer:
Option (B)
Step-by-step explanation:
To calculate the distance between C2 and SW1 we will use the formula of distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }[/tex]
Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.
By substituting these coordinates in the formula,
Distance between these points = [tex]\sqrt{(-6-2)^2+(-7-2)^2}[/tex]
= [tex]\sqrt{(64)+(81)}[/tex]
= [tex]\sqrt{145}[/tex] units
Therefore, Option (B) will be the correct option.
Related Questions
Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar by the AA similarity postulate?
Angle B is congruent to angle E.
Side AB is congruent to side DE.
Angle C is congruent to angle D.
Side BC is congruent to side EF.
Answers
Answer:
Step-by-step explanation:
option A , angle B is congruent to angle E { SINCE IT IS AA POSTULATE
Answer:
B=E (b)
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLY!!!!!!!
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
A) q= 5/5
B) q= -5/5
C) q= 3/5
D) q= -3/5
E) q= 25/5
Answers
Answer:
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Since there is no constant value. This must be a special case.
So,
(q+5[tex]\sqrt{5}[/tex])(q-5[tex]\sqrt{5}[/tex])
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
Find the greatest possible value for a+b+c+d if b is a positive integer and a,b,c,d satisfy the system of equations
a+b=c
b+c=d
c+d=a
Answers
Answer:
[tex]a+b+c+d = -5\cdot b[/tex]
Step-by-step explanation:
The given system of equations is now reduced:
1) [tex]a+b = c[/tex], [tex]b+c = d[/tex], [tex]c+d=a[/tex], [tex]b > 0[/tex] Given
2) [tex]a = c+d[/tex] By 1)
3) [tex](c+d)+b=c[/tex] 2) in 1)
4) [tex]d = b + c[/tex] By 1)
5) [tex][c+(b+c)]+b = c[/tex] 4) in 3)
6) [tex]2\cdot b + 2\cdot c = c[/tex] Algebra
7) [tex]c = -2\cdot b[/tex] Algebra
8) [tex]d = -b[/tex] 7) in 4)/Algebra
9) [tex]a = -3\cdot b[/tex] 7) and 8) in 2)/Algebra
10) [tex]a+b+c+d = -5\cdot b[/tex] 9), 1), 7) and 8)/Algebra/Result
AB and CD intersect at point O, ∠ACO ≅ ∠DBO, and BO ≅ CO . Prove that △ACO ≅ △DBO. Plz Help Me... Thanks
Answers
Since ∠COA and ∠BOD are vertical angles, they are congruent.
You are also given that ∠ACO ≅ ∠DBO and BO ≅ CO.
By ASA (Angle-Side-Angle) congruency, you know that △ACO ≅ △DBO
The proof is shown below:
What is congruency of Triangles?If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
In Δ PQR and ΔXYZ, as shown below, we can identify that PQ = XY, PR = XZ, and QR = YZ and ∠P = ∠X, ∠Q = ∠Y and ∠R = ∠Z. Then we can say that Δ PQR ≅ ΔXYZ.
What is ASA congruency criteria?ASA criterion stands for Angle-Side-Angle criterion. Under the ASA criterion, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
Given:
∠ACO ≅ ∠DBO, and BO ≅ CO
as, ∠COA =∠BOD (vertically opposite angles)
∠ACO ≅ ∠DBO ( given)
BO ≅ CO ( given)
So, By ASA (Angle-Side-Angle) congruency, △ACO ≅ △DBO
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Determine whether the lines given by the vector equations r1=2i + 2j + 3k + s(i + 3j + k) and r2=2i + 3j + 4k + t(i + 4j + 2k) intersect. If they intersect, give the coordinates of their point of intersection.
Answers
Answer:
i -j +2k . . . at s=t=-1
Step-by-step explanation:
For the lines to intersect, there must be values of s and t that make the coordinates of r1 equal to those of r2.
Equating i coefficients, we have ...
2 +s = 2 +t
Equating j coefficients, we have ...
2 +3s = 3 +4t
Equating k coefficients, we have ...
3 +s = 4 +2t
The first equation tells us s = t. Using t = s in each of the other two equations, they become ...
2 +3s = 3 +4s ⇒ s = -1
3 +s = 4 +2s ⇒ s = -1
Then the point of intersection is where s = t = -1. That point is ...
(2 +s)i +(2 +3s)j +(3 +s)k = (2 -1)i +(2 -3)j +(3 -1)k
= i -j +2k . . . . the point of intersection
I WILL GIVE BRAINLY AND 50 POINTS PLZZZZ HELP THANK YOU :D
What is the difference between -3 and -12?
-15
15
-9
9
Answers
Answer:
9
Step-by-step explanation:
difference means subtract
-3 - -12
Subtracting a negative is like adding
-3 + 12
9
Answer:
9
Step-by-step explanation:
Difference = -3 - (-12)
= -3 + 12
= 9
A bouquet of flowers contains D daisies and T tulips and contains a total of F flowers. The number of daisies is two more than the number of tulips. Which equation matches this scenario?
A. D+2T=F
B. F−D+2=T
C. 2D+T=F
D. D+T+2=F
E. D+T=F+2
Answers
Answer: B (F-D+2=T)
Step-by-step explanation:
We know that daisies has 2 more than the tulips. (D+2 = T)
The answer is B
Flowers - Daises + 2 = T
Since daises has 2 more flowers than tulips, thats why theres a (+2)
Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her favorite books. Write an expression to represent all of the books in Ms. Canton's book case. Explain your answer
Answers
Answer:
y=3x+4
Step-by-step explanation:
x= the equal amount of books on 3 bookshelves
+4=the other 4 books on the fourth bookshelf
y=the total amount of books
Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0 [tex]\leq[/tex]x<2[tex]\pi[/tex]
Answers
Answer:
2 is my answer
Step-by-step explanation:
Someone pls help me . Thank you sm
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
X = 24
m = 13/7 or about 1.86
▹ Step-by-Step Explanation
X/3 + 7 = 15
X + 3 * 7/3 = 15
X + 21/3 = 15
X = 24
3.5m - 1.5 = 5
35/10m - 15/10 = 5
5 * 7/2 * 5m - 3 * 5/2 * 5 = 5
m = 13/7 or about 1.86
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
explanation:
Identifying Kinds of Context Clues
example
Match each sentence with the type of context clue it includes
Large herbivores, such as elephants and
giraffes, need to eat a lot.
synonym
Their service is expedient - I'm amazed
by how fast they are!
antonym
Jane is always very enthusiastic and
never negative or doubtful.
explanation
Carburetors, which feed fuel and air to
engines, are very important.
Answers
Answer:
Large herbivores, such as elephants and
giraffes, need to eat a lot. = Example
Their service is expedient - I'm amazed
by how fast they are! Example, explanation
Jane is always very enthusiastic and
never negative or doubtful. = antonym
Carburetors, which feed fuel and air to
engines, are very important. = explanation
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the perimeter and area of the shaded region.
Answers
Answer:
Perimeter of the shaded region= 22/7cm
Area = 36.48 cm²
Step-by-step explanation:
First of all for the perimeter.
The radius of the arc is 8cm
At an angle of 90°
Perimeter of of the shape is perimeter of the the 2 arc
The both arc are equal so let's determine the perimeter of one first.
Perimeter of the arc= 2πr*(90/360)
Perimeter of the arc= 2*22/7*1/4
Perimeter of the arc= 11/7 cm
Perimeter of the shades region= 2*11/7
Perimeter of the shaded region= 22/7cm
Area of the sector = πr²*(90/360)
Area of the sector= 50.24cm²
Area of non sector= 64-50.24
= 13.76
But non sector is two
Area of non sector= 2*13.76
= 27.52
Area of the shaded region = area of the square -(area of non sector)
= 64-27.52
= 36.48 cm²
this is 6th grade
Which of the following would be the best equation for the function of the values for Frankie’s reading?
A. p = 6h
B. p = 35h
C. h =35p
D. 35 + p = h
Answers
Answer:
B would be the answer.
Step-by-step explanation:
Because 1 x 35 is 35. 35 x 2 is 70. 35 x 3 is 105. And so on. :> Good luckk
The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about
healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US
Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in
the state of Virginia.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you
think these estimates are close to the truth about the entire population? Explain. (6 points)
Answers
Answer:
Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.
Part B: No
Step-by-step explanation:
Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.
Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.
Jill can answer 50 math questions every 20 minutes.
Complete the table using equivalent ratios.
Minutes - Number of math questions
20 - 50
12 - ____
36 - ____
What are the answers to 12 and 36?
Answers
Answer:
12- 30
36- 90
Step-by-step explanation:
if she can answer 50 in 20 mins then that means she is answering 2.5 questions in 1 min and then you must multiply 2.5 by the number of mins she has making it
12 x 2.5= 30
36 x 2.5= 90
36- 90
hope that helps!
Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
Answers
Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.
Side note: 2.7 comes from subtracting 3.6 off of 6.3.
Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²
Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²
Then you add the areas of both the rectangle and the triangle together.
14.4 + 5.4 = 19.8m²
Please help I don't understand this problem!
Answers
Answer:
-17
Step-by-step explanation:
First thing to do in this equation is to multiply both sides by 22.
This becomes, -5+x=-22
Add 5 to both sides.
x=-17
Answer:
x = -17
Step-by-step explanation:
-5+x
-------- = -1
22
Multiply each side by 22
-5+x
-------- * 22= -1 *22
22
-5 +x = -22
Add 5 to each side
-5+x +5 = -22 +5
x = -17
URGENT!!! REALLY NEED HELP!!!
FIRST *CORRECT* ANSWER WILL BE BRAINLIST!!!!!
The bar graph shows the percent of students that chose each drink in the school
cafeteria. Which statement about the graph is true?
Answers
Answer:
1st option
Step-by-step explanation:
Because .3*300=90
.3=30%
Answer:
If 300 lunches were served, then 90 chose milk (7).
Step-by-step explanation:
To determine that this is the correct answer, you can just divide 90/300, which is equal to 0.3 or 30%. When you look at the graph, you can see that "milk" is equal to 30%, so this statement is true.
If a triangle has two of its shorter sides measuring 7 and 12, what is a possible length of the longest side of the triangle to make it acute?
Answers
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent?
rock-12
classic rock-4
county-18
jazz-2
heavy metal-6
Answers
These are equivalent because in a way they equal each other with division
Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(
Answers
So, she took three steps to travel 50cm.
20m = 2000cm
2000cm/50cm = 40
She will have to do her three steps forty times to reach 20m. Thats a total of 120 steps.
The distance from the Sun to Earth is about 1.5 × 10^11 meters. Suppose light travels at a speed of 3 × 10^8 meters per second. About how long does it take light from the Sun to reach Earth?
PLZ ANSWER ACCURATELY AND QUICKLY WILL MARK BRALINLIEST
Answers
Answer:
Si se tiene en cuenta que la velocidad de la luz en el vacío es de 299.792 km/s. La distancia existente entre el 'astro rey' y la Tierra es de unos 149,6 millones de kilómetros, una pequeña operación matemática indica que la luz del Sol tarda aproximadamente 8 minutos y 19 segundos en llegar a nuestro planeta.
Step-by-step explanation:
It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
To find the time it takes for light to travel from the Sun to Earth,
We can use the formula:
Time = distance/speed
where distance is the distance from the Sun to Earth and speed is the speed of light.
Plugging in the given values.
Time = (1.5 × 10^11 meters) / (3 × 10^8 meters per second)
Simplifying.
time = 500 seconds
Therefore,
It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.
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you move up 7 units and left 6 units. you end at (-1,5). where did you start?
Answers
Answer:I beleive it is (5,-2)
Step-by-step explanation:
help me plz can somewon help me i am bad at math mostly
Answers
Answer:
Definitely the bottom left
Step-by-step explanation:
08.01) Which of the following statements shows a characteristic of a statistical question? (4 points) Select one: a. The question is focused. b. The distribution can be broken into categories. c. The question asks for a quantitative response. d. The question allows for surveys to be conducted
Answers
Answer:
the distribution can be broken into categories
Statement c shows a characteristic of a statistical question.
What is statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
So, based on the definition of statistics we can say.
1)Statistical data can be analysed.
2)Statistical data can be used to interpret many things.
3)Statistical data can forecast the results.
Out of the given statements, only statement c falls under the category of statistical statement.
Hence, statement c shows a characteristic of a statistical question.
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Select the correct answer.
Simplify.
V96
Answers
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
Answers
Answer:
$5.21
Step-by-step explanation:
20.00 - 14.79 = 5.21
Answer:
5 dollars and 21 cents or $5.21
Step-by-step explanation:
20.00 - 14.79 = 5.21
for n prove by
[tex]3 + 3 {}^{2} + 3 {}^{3} ... + 3 {}^{n} = \frac{3(3 {}^{n} - 1) }{2} [/tex]
thank you
Answers
Answer:
[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]
Step-by-step explanation:
Given
[tex]3 + 3^2 + 3^3 ...+ 3^n[/tex]
Required
Show that the sum of the series is [tex]\frac{3(3^{n}-1)}{2}[/tex]
The above shows the sum of a geometric series and this will be calculated as shown below;
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
Where
a = First term;
[tex]a = 3[/tex]
r = common ratio
[tex]r = \frac{3^2}{3} = \frac{3^3}{3^2}[/tex]
[tex]r = 3[/tex]
Substitute 3 for r and 3 for a in the formula above;
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex] becomes
[tex]S_n = \frac{3(3^n - 1)}{3 - 1}[/tex]
[tex]S_n = \frac{3(3^n - 1)}{2}[/tex]
Hence;
[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]
|5x + 1 over 2y2| What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Answers
Answer:
2
Step-by-step explanation:
The value of the expression |5x + 1 / 2y²| when x = 3 and y = 2 will be 2.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The expression is given below.
⇒ |5x + 1 / 2y²|
The value of the expression at x = 3 and y = 2, then we have
⇒ |5(3) + 1 / 2(2)²|
⇒ |15 + 1 / 2(4)|
⇒ |16 / 8|
⇒ 2
The value of the expression |5x + 1 / 2y²| when x = 3 and y = 2 will be 2.
More about the function link is given below.
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Find the slope of this graph