Joanna has a flat wooden triangular piece as part of a wind chime. the piece is suspended by a wire anchored at a point equidistant from the sides of the triangle. where is the anchor point located?
Answers
Final answer:
Joanna's wind chime is suspended from the centroid of the triangular piece, which is the intersection point of the triangle's three medians and serves as its center of gravity.
Explanation:
The anchor point where Joanna has suspended the flat wooden triangular piece of the wind chime is known as the centroid of the triangle. The centroid is the point where the three medians of the triangle intersect, and it is always located inside the triangle. A median of a triangle is a line segment connecting a vertex to the midpoint of the opposing side. The centroid is also the triangle's center of gravity, meaning it is the balance point where the triangle can be suspended and remain in equilibrium. For any given triangle, the centroid will be found at a point that is one-third of the distance from each vertex to the midpoint of the opposite side.
Related Questions
Segment ab had endpoints a(-1,3) and b(0,7) what is the length of ab
A. Square root 5
B.square root 10
C.square root 17
D.square root 101
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distance=√(x2-x1)²+(y2-y1)²
Simplify , You may leave the numerator and denominator of your answer in factored form ?
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Then we can notice that we can divide the coefficients in the numerator and the denominator by 4 as 20/4 = 5 and 4/4 = 1
So, the expression now becomes:
(v-2) / 5 which is the simplest form.
If a = -4 what is the value of 5a
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5(-4) = -20 <==
A square garden has an area of 182 square feet about how many feet of fencing do u need
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__________________________________________________
Explanation:
____________________
A = L * w ;
A square is a rectangle that has all equation sides;
so; for a square. (L = w).
or, "A = s² " ; in which "s" in the length of any one side.
______________
Since "A = s² "
And "A = 182 ft² " ;
we need to solve for "s" ;
and then find the perimeter of the square with is: "4*s" .
_______________________
A = s² ; ↔ s² = A ; s² = 182 ft² ;
Take positive square root of each side of the equation; to isolate "s" on one side of the equation ; and to solve for "s" ;
√(s²) = √(182 ft²) ;
to get: s = √182 ft, = 53.9629502529281659 ft.
_________________________________
The perimeter: 4* s = 4√(182 ft) = 4* (13.4907375632320415 ft.) ;
_________________________________________________
= 53.9629502529281659 ft.
__________________________________________________
round to 54 ft.
_______________________________________________
1,289 ÷22 is 58 r13 (yes) or (no)
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Roger is buying a new pair of shoes for 25% off. if the original price of the shoes was $70.00, how much money is roger saving on the shoes?
Answers
Answer:
17.5
Step-by-step explanation:
What is the approximate value of y − x?
A) 4.9°
B) 6.2°
C) 11.1°
D) 17.2°
Answers
In right triangle LMN are given the lenghts of two legs. You can find the value of [tex]\tan x[/tex] and [tex]\tan y[/tex] and then estimate the difference y-x.
1.
[tex]\tan x=\dfrac{LM}{LN}=\dfrac{14.1}{19.1}=\dfrac{141}{191},\\ \\x=\arctan \dfrac{141}{191}\approx 36.4^{\circ}.[/tex]
2.
[tex]\tan y=\dfrac{LN}{LM}=\dfrac{19.1}{14.1}=\dfrac{191}{141},\\ \\y=\arctan \dfrac{191}{141}\approx 53.6^{\circ}.[/tex]
Then
[tex]y-x=53.6^{\circ}-36.4^{\circ}=17.2^{\circ}.[/tex]
Answer: correct choice is D
Shane said that he could write related multipication and addition sentences for 6+4+3. does shane's statement make sense? explain
Answers
Answer:
Shane's statement is not correct.
Step-by-step explanation:
Shane said that he could write related multiplication and addition sentences for 6+4+3.
No, Shane's sentence does not make any sense as if we add the digits we get = [tex]6+4+3=13[/tex]
But when we multiply the digits we get = [tex]6*4*3=72[/tex]
So, how can he relate these two different things.
Hence, i guess no is the answer.
a national park has two options: a $50 pass for all admissions during the year, or a $4 entrance fee each time you enter. Write an equation to model the cost of going to the park for a year using the pass and another equation for paying a fee each time
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What is the intersection of planes GDH and GHF?
A) Line FA
B) Line HC
C) Line GH
D) Line DC
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Kalyin keyboards at a rate of 60 words per minute for 5 minutes and 45 words per minute for 10 minutes. How many words did she type in all?
Answers
Naomi invested $3,425 in an account that pays 3% simple annual interest. What was the total balance in the account after 15 years?
Account Balance = $___________
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Answer: 4966.25
Step-by-step explanation:
Solve x ym = y x3 for m.
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xym/xy=yx^3/yx
m=x^2
if the first step in the solution of the equation 2x-8=5x+3 is "subtract 2x," then should the next step be?
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-2x -2x
-8 = 3x + 3
-3 -3
-11 = 3x
/3 /3
-3.6666666667 = x
Knowing this, we can conclude that subtracting 3 is your answer.
Two trains leave stations 216 miles apart at the same time and travel toward each other. one train travels at 85 miles per hour while the other travels at 95 miles per hour. how long will it take for the two trains to meet
Answers
Final answer:
The two trains traveling towards each other at 85 mph and 95 mph respectively, will meet after 1.2 hours, as they have a combined approach rate of 180 mph.
Explanation:
To find out how long it will take for two trains to meet when they start 216 miles apart, moving toward each other at speeds of 85 miles per hour and 95 miles per hour, respectively, we can add their speeds to determine their approach rate. The sum of their speeds is the relative speed at which they are moving towards each other. Therefore, we calculate:
85 mph + 95 mph = 180 mph.
This means that the two trains cover 180 miles of the distance between them in one hour. To find the total time until they meet, we divided the total distance by their approach rate.
216 miles ÷ 180 mph = 1.2 hours.
Therefore, it will take 1.2 hours for the two trains to meet.
Write an equation for the line parallel to y= -7x+15 that contains p(9,-6)
Answers
The two lines never meet.
The slope of the given line is -7.
See it?
Plug -7 and the given point into the point-slope formula.
y - (-6) = -7(x - 9)
Solve for y.
y + 6 = -7x + 63
y = -7x + 63 - 6
y = -7x + 57
Did you follow?
The equation of a line parallel to y = -7x + 15 that passes through the point (9,-6) is y = -7x + 57.
Explanation:The question asks for an equation of a line parallel to y = -7x + 15 that passes through the point p(9,-6). Parallel lines have the same slope. Thus, the slope of our new line is also -7. In the form y = mx + b, 'm' represents the slope and 'b' is the y-intercept. We know the slope and a point on the line, but we don't know the y-intercept. We can plug the point p' s coordinates (9,-6) into the equation and solve for 'b'.
Therefore, -6 = -7(9) + b results in b = 57. So, the equation of the requested line is y = -7x + 57.
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SOMEONE PLEASE HELP ME!!!!!!!!!!!! 100 points and brainliest answer to whoever answers all 3 correctly first!!!!!!!!!!!
1. (picture 1, 2nd answer is not correct, question & answers in picture)
2. (picture 2, 1st answer is not correct, question & answers in picture)
3. (picture 3 and text below, 2nd answer is not correct. The answers to this question is in picture 3)
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees who have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees who have been with the company for at least three years, but fewer than six years can expect an increase of $1.00. Employees who have been with the company for at six years, but fewer than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but fewer than twelve years receive an increase of $2.00.
Which of the following tables accurately represents the hourly wage increase for some of the employees?
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1st picture ix X <4 then y = -X+8
when x = 2 y = -2+8 = 6
Last table works.
2nd picture :
0.50 <3
1.00 at least 3 less than 6
1.50 at least 6 but less than 9
2.00 at least 9 less than 12
2nd function works and 2nd table works
9.6 - (3.1)²
Please explain the steps you used and how you worked it out . Thank you and advance
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9.6-9.61=-.01
The price of an item has been reduced by 40% . the original price was $65 . what is the price of the item now?
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=$39
the price of the item is $39 now
One of two complementary angles is 8 degrees less than the other.
Which of the following systems of equations represents the word problem?
x + y = 90 and x - y = 8
x + y = 90 and 90 - x = 8
x + y = 90 and y = 8x
Answers
x + y = 90
and
x – y = 8
Explanation:
One of two complementary angles = x angle and y angle, x + y = 90
is 8 degrees less than the other = –8 so
x + y = 90
and
x – y = 8
Answer:
( x+y = 90 ) and ( x - y = 8 )
Step-by-step explanation:
In this question we will form the equation as per statements given.
"One of two complementary angle is 8 degrees less than the other."
Let the two angles are 'x' and 'y'
By the statement ( y = x - 8 )
y - x = (-8)
or x - y = 8 -----------(1)
"Both the angles are complementary."
x + y = 90° -----------(2)
Therefore, system of equations will be
( x+y = 90 ) and ( x - y = 8 )
Option A. is the correct answer.
In which quadrant is (, -1.8)?
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Boats can travel anywhere between 50 and 150 kilometers per hour. Choose a speed between 50 and 150. Convert the speed you chose into meters per second
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Multiply 4 square root 3 end root times 10 square root 12 end root Times Square root 6 end root Times Square root 2
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= [tex]4 \times 10 \sqrt{3 \times 12 \times 6 \times 2} [/tex]
= [tex]40 \sqrt{432} [/tex]
= [tex] 40 \sqrt{144 \times 3} [/tex]
= [tex] 40 \times 12 \sqrt{3} [/tex]
= [tex] 480 \sqrt{3} [/tex]
To multiply the given radicals, first simplify the radicals to get like terms, then multiply coefficients and like radicals separately. The result of multiplying 4√3 × 10√12 × √6 × √2 is 480√3.
The task is to multiply the following radical expressions: 4√3 × 10√12 × √6 × √2.
First, let's simplify the radicals where possible. We know that √12 can be broken down into √4×√3, because 4 is a perfect square and 4×3=12. Thus, √12 simplifies to 2√3. Now, our expression looks like: 4√3 × 10×2√3 × √6 × √2.
Next, we multiply the coefficients (numbers outside the radicals) and the like radicals separately:
Coeficients: 4 × 10 × 2 = 80Radicals: √3 × √3 × √6 × √2 Multiplying the radicals, we get (√3)^2 × √6 × √2. Since the square of a square root equals the number itself, (√3)^2 = 3. Therefore, we have 3 × √6 × √2.Simplifying further, we can pair √6 and √2 to get √12, which we already simplified earlier into 2√3. Thus, 3 × 2√3 = 6√3.
Finally, we multiply the coefficient we got from our first step (80) by the simplified radical (6√3) to get the final answer: 480√3.
What value of f makes -35 - (-15) = f a true sentence?
Answers
Answer:
-20
Step-by-step explanation:
The two negatives will cancel each other out, so you will have -35 + 15 = f. If you add 15 to -35, you will have a smaller negative number since you are getting closer to 0.
If ƒ(x) = 2x, then ƒ -1(x) =
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y = 2x
becomes ..
x = 2y
y = (1/2)x
f-1(x) = 0.5x
The answer would equal 1/2x.
The length of a rectangle is twice its width. The area of the rectangle is 32 square feet. What are the length and width? Which equation models this problem?
A. 32w=2w+w
B. w-2w=32
C. 2w·w=32
D. 2w+w=32
Answers
16−2t=5t+9
what is the answer help
Answers
1) 16-9=7
New equation: 7-2t=5t
2) 5t+2t=7t
New equation: 7=7t
3) 7t/7=1
Answer: t=1
The length of the hypotenuse of a 30°–60°–90° triangle is 4. find the perimeter
Answers
Hypotenuse= 2x
2x=4
Long side= sq root of 3 multiplied by 2 is 3.46
Short side= x
x=2
3/5 of a Conductors Club went on the last camping trip.If 39 people went on the trip, how many are in the club?
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For what value of x must ABCD be a parallelogram?
For ABCD to be a parallelogram, the value of x must be?
Answers
Answer: The value of x must be 7 units.
Step-by-step explanation:
Since we have given that
ABCD is a parallelogram.
Suppose that AC and BD intersect at o.
So, AO = OC.
And we have given that
AO = 5x
OC = 6x-7
According to question,
[tex]5x=6x-7\\\\5x-6x=-7\\\\-x=-7\\\\x=7[/tex]
Hence, the value of x must be 7 units.
In geometry, for ABCD to be a parallelogram, certain conditions must hold true, such as equal opposite sides or equal opposite angles. The specific value of x would be determined based on the specific properties or relations outlined in your question.
Explanation:In Mathematics, specifically in geometry, a quadrilateral ABCD is a parallelogram if opposite sides are equal in length (i.e., AB = DC and BC = AD), or if opposite angles are equal (i.e., ∠A = ∠C and ∠B = ∠D), or if one pair of opposite sides are both parallel and equal (i.e., AB || DC and AB = DC).
The value of x would be determined based on the specific properties or relations given in your problem. You would have to set up the equations based on these properties or relations, and solve for x.
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