Determine the centroid of this triangle below: *

Determine The Centroid Of This Triangle Below: *

Answers

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Coordinates of the centroid of a triangle with given vertices (x₁, y₁), (x₂, y₂) and (x₃, y₃) is given by,

X-coordinates = [tex]\frac{x_1+x_2+x_3}{3}[/tex]

Y-coordinates = [tex]\frac{y_1+y_2+y_3}{3}[/tex]

For the given triangle FGH,

Coordinates of the vertices are,

F(-3, 1), G(2, 6) and H(4, 1)

X-coordinate of the centroid = [tex]\frac{-3+2+4}{3}[/tex] = 1

Y-coordinate of the centroid = [tex]\frac{1+6+1}{3}[/tex] = [tex]\frac{8}{3}[/tex]

Therefore, coordinates of the centroid will be (1, [tex]\frac{8}{3}[/tex] )

Option (3) will be the answer.


Related Questions

Which expression is equivalent to -61-3+2
+ 2x)?

Answers

Answer:

2x - 62

Step-by-step explanation:

hope this helps :)

am I correct or is there more?

Answers

20/25 is one I think

Transform the linear equation to slope-intercept form and select the graph that
represents that function.

Answers

Answer:

The correct one is B

Which numbers will round to 25 when they are rounded to the nearest whole number?

Select each correct answer.

25.47

25.09

25.72

24.49

24.38

Answers

Answer:

25.47, 25.09

Step-by-step explanation:

looking at only the tenths they round down to 25.

The numbers that would round off to 25 when rounded to the nearest whole number are 25.09 and 24.49.

What are the numbers that would round off to 25?

When one is to round off to the nearest whole number, the numbers after the decimal point are to be eliminated.

To round off to the nearest whole number, if the tenth figure is equal to 5 or greater than 5, 1 would be added to the unit term, if this is not the case, zero would be added to the unit term.

When 25.09 and 24.49 are rounded off to the nearest whole number, it becomes 25

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In ΔMNO, the measure of ∠O=90°, MN = 27 feet, and OM = 20 feet. Find the measure of ∠M to the nearest degree

Answers

Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation:

i need help can yall help me with math

Answers

Answer:

2, 4 by plugging in the answer choices

representa geometricamente las funciones valor absoluto y=|x-3|

Answers

Answer:

x=3

y=3

Step-by-step explanation:

Answer:

x=3

y=3

Step-by-step explanation:

what is 0+0+0+0+0+0=?​

Answers

Answer:

34

Step-by-step explanation:

Answer:

its 0 :)

Step-by-step explanation:

the length of a rectangle is 3 more than the width. if the area is 40 square inches, what is an equation to find the area and what is the length of the rectangle

Answers

Answer:

5 x 8 = 40 square cm

Step-by-step explanation:

Anyone know this?? I need it ASAP

Answers

The answer is A. one solution because the lines only cross eachother once

what is 0.5p=p+5?
the homework said move p to the other side but i dont really understand that

Answers

Answer: p=-10

Step-by-step explanation:

0.5p=p+5

-p     -p

-0.5p=5

Multiply by -0.5 on each side

p=-10

The value of p in 0.5p=p+5 is -10.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

0.5p=p+5

Now, solving for p

For which p from Right side should be moved to left side

0.5p - p= 5

-0.5p = 5

Now, Divide both side by (-0.5)

-0.5p/ (-0.5)= 5/(-0.5)

p = -10

Hence, the value of p is -10.

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PLEASE HELP/LAST CHANCE TO GET A GOOD GRADE
Which expressions are equivalent to 2^5/6^5?

Answers

Answer:

B, D

Step-by-step explanation:

2^5/6^5=0.00411522633744855967

3^-5=0.00411522633744855967

2^5x6^-5=0.00411522633744855967

the answer is B 3^-5

What is 2/3 of 3/8 in fraction or decimal form or both idc

Answers

Answer:

Simplify the expression.

Exact Form:

1/4

Decimal Form:

0.25

Step-by-step explanation: If you are satisfied with my answer mark me the Brainliest!!! With A 5-star rating also saying Thanks.

34.39/0.30
what is the answer​

Answers

Answer:

114.633333333

Step-by-step explanation:

the answer is 114.63333... hope this helps!

Find the value of +c15 when =c4.

Answers

It equals 60 u do 15* 4

Can anyone help please?

Answers

Answer:

6

Step-by-step explanation:

6(2) = 12

12 + 9 = 21

21/3 = 7

7 - 1 = 6 <--- Number that's she's thinking

I tested every number!

ITS 6 the person above me is correct!! I just checked

(Picture for problem above.)

Find the value of y. Be sure to keep the exact value (use square root and don’t round your answer).

Answers

Answer:

y = 8·√3

Step-by-step explanation:

From the drawing of the right triangle, we have;

The length of the opposite leg to the given 60° (reference) angle = 12

The length of the adjacent leg to given 60° (reference) angle = x

The length of the hypotenuse side = y

By trigonometric ratios, we have;

[tex]sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin(60^\circ) = \dfrac{12}{y}[/tex]

From the value of sin(60°), we have;

[tex]sin(60^\circ) = \dfrac{\sqrt{3} }{2}[/tex]

[tex]\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}[/tex]

y = 8·√3

[tex]\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)[/tex]

Find the measure of each angle indicated. Round to the nearest tenth.

Answers

I don't know sorry anjsjdjd

Answer:

I don't really understand what you're asking but, m<C equals 90⁰, and i think angle A's measurement says 0⁰, so I'm guessing you have to find angle B?

How do you write 3:5 in the ratio 1:n

Answers

Answer:

[tex]\frac{3}{5n}[/tex]

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Rewrite the division as a fraction.

(3÷5)⋅1/n

Multiply 3÷5 by 1.

(3÷5)/n

Rewrite the division as a fraction. (3/5)/n

Multiply the numerator by the reciprocal of the denominator.

(3/5⋅(1/n)

Multiply 3/5 and 1/n.

3/5n

Oliver is 33 years older than his son. Eight years ago, Oliver's age is five more than thrice his son's present age. How old is Oliver now?


pls answer with solution :]​

Answers

Answer:

47

Step-by-step explanation:

Let us assume his son be x

So, the oliver age is x + 33

Now eight years ago, oliver age is 5 more than thrice his son present age

x - 8 = 5 + 3x

So,

33 + x = 5 + 3x

2x =28

x=14

o = 33+14 = 47

PLS PLS PLS HELP DONT TAKE POINTS AND IF U CAN EXPLAIN AS WELL:)
Determine which two values the following expression is between.
7√37
A.
42.56 and 42.57
B.
42.54 and 42.55
C.
42.57 and 42.58
D.
42.55 and 42.56

Answers

Answer:

Step-by-step explanation:

When you put this into your calculator, you get

42.5793

A: The largest number is too small

B: The largest number is too small

C: This is the answer. The calculator answer will round to 42.58, but before you round the answer is between 42.57 and 42.58

D: and again the largest value is not big enough

Answer:

C

Step-by-step explanation:

7[tex]\sqrt{37}[/tex] = 42.5793377

42.5793377 rounded down is 42.57

42.5793377 rounded up is 42.58

can someone help me plz ​

Answers

Answer:

this is just a guess but 81

Step-by-step explanation:

I hope it is right, but I just did quick math.

so it might also be 82 if you round up to the nearest number. (sorry if this is confusing)

all expression equal to 4x4x4​

Answers

Answer:

what?

Step-by-step explanation:

Answer:-
This a a nyc joke!! TYSM

simplify 5√6 + 3√24 - 6√54 + √150​

Answers

Answer:

[tex]= 3 \sqrt{ 6[/tex] + [tex]5 \sqrt{6[/tex]

[tex]= 8 \sqrt{ 6[/tex]

√54+√150

=√2×3×3×3+√2×5×5×3

=3√6+5√6

=8√6

=8×2. 44

=19. 59

Answer:

Step-by-step explanation:

[tex]5\sqrt{6}+3\sqrt{6(4)}-6\sqrt{6(9)}+\sqrt{6(25)}\\ \\ \sqrt{6}(5+3\sqrt{4}-6\sqrt{9}+\sqrt{25}\\ \\ \sqrt{6}(5+6-18+5)\\ \\ -2\sqrt{6}[/tex]

which of the following choices is the value of csc 0?

Answers

csc 0 = r/y
r = sqrt 81 + 144
r = sqrt 225
r = 15

csc 0 = 15/12

The value of [tex]csc(\theta)[/tex]  is  [tex]\frac{15}{12}[/tex]

What is right triangle?

"It is a triangle in which one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle, [tex]x^{2}+ y^{2}=z^{2}[/tex], where z is the hypotenuse and x, y are other two sides of the right triangle."

What is csc of angle?

"In a right triangle, csc of angle is the ratio of the hypotenuse to the opposite side of angle."

For given question,

First we find the hypotenuse of the right triangle.

Using Pythagoras theorem,

[tex]\Rightarrow 9^{2} + 12^{2}= r^{2}\\\\ \Rightarrow 81 + 144=r^2\\\\\Rightarrow r=\sqrt{225}\\\\ \Rightarrow r=15[/tex]

so, the hypotenuse is r = 15

Now we find the csc of angle [tex]\theta[/tex]

[tex]\Rightarrow csc(\theta)=\frac{hypotenuse}{opposite~side~of~\theta} \\\\\Rightarrow csc(\theta)=\frac{15}{12}[/tex]

Therefore, the value of [tex]csc(\theta)[/tex] is [tex]\frac{15}{12}[/tex]

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if you buy 3 bags of apples for $90 find the total of 9 bags of apples.​

Answers

Answer:

$270

Step-by-step explanation:

3÷90= 30

30×9=270

so this is your answer $270

a rectangle is graphed on the coordinate grid. which represents the equation of a side that is parallel to side s?​

Answers

Answer:

mmmm. give it to. meeee.

A helicopter is hovering over a landing pad 100 m from where you are standing. The helicopter's
angle of elevation with the ground is 15°. What is the altitude of the helicopter? (Round answer to 2
decimal places)

Answers

Answer:

26.79 meters

Step-by-step explanation:

tan15 = x/100

x = 100tan15 ≈ 26.79

Answer is 26.79m

Angle of elevation and tan Formula:

The angle of elevation is the angle between the horizontal line of sight and the object.

The tan angle = the length of the opposite side / the length of the adjacent side.

Here, the angle of elevation is 15 degrees.

Let's altitude of the helicopter is h.

The horizontal distance is 100m

tan(15°) = h / 100

0.2679 = h / 100

=> h = 0.2679 * 100

=> h = 26.79m

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Suppose your friend's parents invest $10,000 in an account paying 5% compounded annually. What will the balance be after 10 years?
The account balance will be $
(Round to the nearest cent as needed.)

Please help me fast!!

Answers

Answer:

$16288.95

Step-by-step explanation:

Use the compound interest formula of y= Initial(1+rate)^years

so y= 10000(1+0.05)^10= $16,288.95

sultan weighs 70 kg, he started a diet plan and is losing 2 kg a month. the equation y = 70 - 2x represents his weight,y, in kilograms after x months. find his weight after 4 months if he continues with his plans and obtains the same results after 4 months,Sultan will weight?​

Answers

Answer:

62 kg

Step-by-step explanation:

Weight loss equation for sultan :

Y = 70 - 2x

Y = weight in kilogram ; x = number of months

Sultan's weight after 4 months

Put 4 in x in the equation and calculate the value of y

Y = 70 - 2(4)

Y = 70 - 8

Y = 62kg

Weight after 4 months is 62 kg

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