Solve For X, using the given triangle.

Please answer quick! Also, keep in mind that this uses stuff like sin, cos, and tan. I'm looking for like trig and whatnot, please help!

Answer: It is the centroid of a triangle or A. Centroid  

Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)

The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.

The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.

From the dots the parabola’s are the same size just transitioned to different locations.

blue = y = x^2 + 3

Green = y = (x-4)^2

Orange = y = x^2 - 3

Purple = y = (x+4)^2

By solving a system of equations we will find the dimensions of the rectangle, and with these, we will see that the area is equal to 82.31 m^2

For a rectangle of length L and width W, the perimeter is:

P = 2*L + 2*W

In this case, we know that the perimeter is equal to 38m, then:

38m = 2*L + 2*W

We also know that if we subtract 3 meters from the length and 2 meters from the breadth, the length will e 2 times the breadth.

This is written as:

(L - 3m) = 2*(W - 2m)

Then we have a system of equations:

38m = 2*L + 2*W

(L - 3m) = 2*(W - 2m)

To solve this, we isolate one of the variables in one of the equations, I will isolate L on the second equation:

L = 2*(W - 2m) + 3m

Replacing that on the other equation we get:

38m = 2*(2*(W - 2m) + 3m) + 2*W

Now we can solve this for W.

38m = 4*(W - 2m) + 6m + 2*W

38m = 4*W - 2m + 2*W

38m + 2m = 6*W

40m = 6*W

40m/6 = W = 6.67m

Then the length is:

L =  2*(  6.67m - 2m) + 3m = 12.34 m

So the area of the rectangle is:

A = L*W = 12.34m*6.67m = 82.31 m^2

If you want to learn more about systems of equations, you can read:

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

There is not crest given so use distance between troughs

Period (T):-

Frequency:-

[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]

The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]

   Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]

The volume is 33.51 cubic feet

Hope that helps!

Answer:

Step-by-step explanation:

The amount of an investment P compounded n times per year at annual rate r for t years is ...

  A = P(1 +r/n)^(nt)

This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.

__

Continuously compounded interest results in an account balance computed using the formula ...

  A = Pe^(rt) . . . . where the variables have the same definitions as above.

For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...

  A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars

Answer:

The probability is 1/9

Step-by-step explanation:

1 - 8/9 = 1/9

Answer:

$4.60

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%

Step-by-step explanation:

Answer:

The first 1 is the answer (a)

Step-by-step explanation:

Answer:

y = - ½(x - 2)² + 3

Step-by-step explanation:

Using the permutation formula, it is found that there are 840 ways to place the letters.

The order in which the letters are placed is important, as PAST is a different arrangement that PTAS, for example, hence the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 letters are taken from a set of 7, hence:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

There are 840 ways to place the letters.

More can be learned about the permutation formula at https://brainly.com/question/25925367

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Answer:35

Step-by-step explanation:

The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the three dimensional shape is:

Volume = length * width * height = 1 1/4 * 1 1/2 * 2 = 3.75 yd³

1 yd³ = 2000 pounds

3.75 yd³ = 2000 pounds * 3.75 yd³ = 7500 pounds

The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil

Find out more on volume at: https://brainly.com/question/12410983

Answer:

12ft trim

Step-by-step explanation:

assuming that she wants to use the same size on each side (3ft) of the window, we know that the window is a square

and a square has 4 sides

3 + 3 + 3 + 3 = 12ft

She needs 12 ft trim

Answer:

4/3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}[/tex]

Convert to the form above:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}[/tex]

Therefore, the solution is 4/3

Answer:

4<x<6

Step-by-step explanation:

4 is smaller than x

and x is samller than 6

so its 5

Answer:

Step-by-step explanation:

front side: 6x3 = 18

back : 6x3 = 18

right:6x2 = 12

left:6x2 = 12

top: 3x2 =6

bottom: 3x2 =6

18 + 18 + 12 + 12 + 6 + 6

= 72

Answer:

The battery seems to be charging at a rate of 1 percentage point per minute. So the battery should be fully charged at 10:11 AM.

Step-by-step explanation:

Answer:

$24.07

Step-by-step explanation:

57×44=2508 hrs

60376÷2508=$24.07 per hr

Answer:

Step-by-step explanation:

The given relations allow us to write three equations in the three unknown values. We can let x, y, z represent the three numbers, in order.

__

  x +y +z = 10 . . . . . . . the sum of the three numbers is 10

  2x +4y +5z = 33 . . . . . designated sum is 33

  6x -y = 28 . . . . . . . . 6 times the first is 28 more than the second

__

There are many ways to solve a system of equations like this. Perhaps one of the easiest is to enter the equations as an augmented matrix in your calculator, and let it do the work. (Some calculators will solve the equations directly.)

The three numbers are 5, 2, and 3.

_____

Additional comment

The third equation lets you write an expression for y in terms of x:

  y = 6x -28

Substituting this into the first two equations, we get ...

  x +(6x -28) +z = 10   ⇒   7x +z = 38

  2x +4(6x -28) +5z = 33   ⇒   26x +5z = 145

Subtracting the second from 5 times the first of these equations gives ...

  5(7x +z) -(26x +5z) = 5(38) -(145)

  9x = 45 . . . . . the y-variable is eliminated

  x = 5

Use equations from above to find z and y.

  z = 38 -7x = 3

  y = 6(5) -28 = 2

Answer:

A)  A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)

Step-by-step explanation:

Given equations:

[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]

[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]

Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:

[tex]\implies 2x+2=-2x+14[/tex]

[tex]\implies 4x=12[/tex]

[tex]\implies x=3[/tex]

Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:

[tex]\implies y=2(3)+2=8[/tex]

Therefore, the solution to the system is (3, 8).  

This is the point of intersection of the two lines.

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

Answer:

15/2 min/m

Step-by-step explanation:

Minuters per meter = min/m

4.5 min/(3/5) m

4.5 x 5/3 = 7.5

7.5 = 15/2

Hope this helps!

Answer: c

Step-by-step explanation: The cube represents the earth, the octahedron represents the air, the tetrahedron represents the fire, the icosahedron represents the water, and the dodecahedron represents the universe

The name of the platonic solid shown is hexahedron.

Tetrahedron - A tetrahedron, also referred to as a triangle pyramid, is a polyhedron with four triangular faces, six straight edges, and four vertex corners in geometry.

Hexahedron - Any polyhedron with six faces is called a hexahedron.

Octahedron - An octahedron is a polyhedron with eight faces in geometry.

Dodecahedron - In geometry, a dodecahedron or duo decahedron is any polyhedron with twelve flat faces.

The figure given in the question has clearly six flat faces and hence according to the definitions it is a hexahedron.

Learn more about shapes on:

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The complete question is attached.

Answer:

$15.20

Step-by-step explanation:

Had the same question last year and found the answer in some flashcards. You can browse the question too.

Answer:

15/169

Step-by-step explanation:

There are 52 cards in a standard deck.  Of those 52 cards, 12 are face cards and 20 are even numbered.  To find the probabily in this situation, we multiply 12/52 by 20/52.  This gives us 240/2704.  This can be reduced to 15/169.

Answer:

238 mm

Step-by-step explanation:

11x5 = 55

11x4=44

11x5=55

11x4=44

4x5=20

4x5=20

______(Add all up)

= 238 mm

Hope this helps :)

Answer:

97.31 [tex]m^2[/tex]

Step-by-step explanation:

The area of the octagon is:

[tex]\frac{8 * 5.3 * 2.65\sqrt{3} }{2}[/tex] ~97.31 m^2