Answer:
Parallelogram
Step-by-step explanation:
That dude above doesn't know what his talking about its parallelogram my teacher confirmed it too
The quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
QuadrilateralA quadrilateral is a polygon with four angles and four sides.
Given the vertices of quadrilateral MNOP at M(1, 1) N(3, 4) O(6, 6) P(4, 3). Plotting the points using geogebra,
We can see that the quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
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Sobre una embarcación de 160 kg que está en reposo con su proa apuntando a la orilla, comienza a caminar una persona de 70 kg desde la proa hacia la popa, a 0.80 m/s respecto a la embarcación. ¿Cuáles son las velocidades de la embarcación y de la persona respecto a la orilla? Desprecia la resistencia del agua al movimiento.
The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.
How to calculate the velocityWe can use the conservation of momentum equation:
(mboat + mperson) * vboat = mperson * vperson
(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)
230 kg * vboat = 56 kg * (0.80 m/s + vperson)
vboat = (56/230) * (0.80 m/s + vperson)
vperson = 0.80 m/s + vboat
vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)
(174/115) * vperson = (504/115) * m/s
Dividing both sides by (174/115), we get:
vperson = 2.896 m/s
vboat = (56/230) * (0.80 m/s + vperson)
Substituting the value of vperson, we get:
vboat = 1.337 m/s
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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.
NO LINKS!! URGENT HELP PLEASE!!!
Solve ΔABC using the Law of Cosines
1. B= 36°, c = 19, a = 11
2. a = 21, b = 26, c = 17
Answer:
1) A = 32.6°, C = 111.4°, b = 12.0
2) A = 53.6°, B = 85.7°, C = 40.7°
Step-by-step explanation:
Question 1
Given values of triangle ABC:
B= 36°c = 19a = 11First, find the measure of side b using the Law of Cosines for finding sides.
[tex]\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines (for finding sides)} \\\\$c^2=a^2+b^2-2ab \cos (C)$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}[/tex]
As the given angle is B, change C for B in the formula and swap b and c:
[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]
Substitute the given values and solve for b:
[tex]\implies b^2=11^2+19^2-2(11)(19)\cos(36^{\circ})[/tex]
[tex]\implies b^2=482-418\cos(36^{\circ})[/tex]
[tex]\implies b=\sqrt{482-418\cos(36^{\circ})}[/tex]
[tex]\implies b=11.9929519...[/tex]
Now we have the measures of all three sides of the triangle, we can use the Law of Cosines for finding angles to find the measures of angles A and C.
[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Law of Cosines (for finding angles)} \\\\$\cos(C)=\dfrac{a^2+b^2-c^2}{2ab}$\\\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides adjacent the angle. \\ \phantom{ww}$\bullet$ $c$ is the side opposite the angle.\\\end{minipage}}[/tex]
To find the measure of angle A, swap a and c in the formula, and change C for A:
[tex]\implies \cos(A)=\dfrac{c^2+b^2-a^2}{2cb}[/tex]
[tex]\implies \cos(A)=\dfrac{19^2+(11.9929519...)^2-11^2}{2(19)(11.9929519...)}[/tex]
[tex]\implies \cos(A)=0.842229094...[/tex]
[tex]\implies A=\cos^{-1}(0.842229094...)[/tex]
[tex]\implies A=32.6237394...^{\circ}[/tex]
To find the measure of angle C, substitute the values of a, b and c into the formula:
[tex]\implies \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
[tex]\implies \cos(C)=\dfrac{11^2+(11.9929519...)^2-19^2}{2(11)(11.9929519...)}[/tex]
[tex]\implies \cos(C)=-0.364490987...[/tex]
[tex]\implies C=\cos^{-1}(-0.364490987...)[/tex]
[tex]\implies C=111.376260...^{\circ}[/tex]
Therefore, the remaining side and angles for triangle ABC are:
b = 12.0A = 32.6°C = 111.4°[tex]\hrulefill[/tex]
Question 2To solve for the remaining angles of the triangle ABC given its side lengths, use the Law of Cosines for finding angles.
[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Law of Cosines (for finding angles)} \\\\$\cos(C)=\dfrac{a^2+b^2-c^2}{2ab}$\\\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides adjacent the angle. \\ \phantom{ww}$\bullet$ $c$ is the side opposite the angle.\\\end{minipage}}[/tex]
Given sides of triangle ABC:
a = 21b = 26c = 17Substitute the values of a, b and c into the Law of Cosines formula and solve for angle C:
[tex]\implies \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
[tex]\implies \cos(C)=\dfrac{21^2+26^2-17^2}{2(21)(26)}[/tex]
[tex]\implies \cos(C)=\dfrac{828}{1092}[/tex]
[tex]\implies C=\cos^{-1}\left(\dfrac{828}{1092}\right)[/tex]
[tex]\implies C=40.690560...^{\circ}[/tex]
To find the measure of angle B, swap b and c in the formula, and change C for B:
[tex]\implies \cos(B)=\dfrac{a^2+c^2-b^2}{2ac}[/tex]
[tex]\implies \cos(B)=\dfrac{21^2+17^2-26^2}{2(21)(17)}[/tex]
[tex]\implies \cos(B)=\dfrac{54}{714}[/tex]
[tex]\implies B=\cos^{-1}\left(\dfrac{54}{714}\right)[/tex]
[tex]\implies B=85.6625640...^{\circ}[/tex]
To find the measure of angle A, swap a and c in the formula, and change C for A:
[tex]\implies \cos(A)=\dfrac{c^2+b^2-a^2}{2cb}[/tex]
[tex]\implies \cos(A)=\dfrac{17^2+26^2-21^2}{2(17)(26)}[/tex]
[tex]\implies \cos(A)=\dfrac{524}{884}[/tex]
[tex]\implies A=\cos^{-1}\left(\dfrac{524}{884}\right)[/tex]
[tex]\implies A=53.6468753...^{\circ}[/tex]
Therefore, the measures of the angles of triangle ABC with sides a = 21, b = 26 and c = 17 are:
A = 53.6°B = 85.7°C = 40.7°The table shows ordered pairs of the function y=8-2x. What is the value of y when x=8?
0-20
X
-3
-1
-
1
4
8
10
Mark this and return
y
14
10
6
0
?
-12
Save and Exit
Next
Submit
Answer:
The Value of Y is -8
Step-by-step explanation:
I believe it is -8 because giving the function, y = 8 - 2x, given that x = 8, we can replace the value into a function. y = 8 - 2(8) = 8 - 16 = -8.
So therefore, the value of y is -8. Hopes this helps :p
The volume of a tree stump can be modeled by considering it as a right cylinder. Xavier measures its height as 2.1 ft and its circumference as 61 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the stump is 7451.9 cubic inches.
How to find the volume of the stump in cubic inches?The volume of a cylinder can be calculated using formula below:
V = πr²h
where r is the radius and h is the height of the cylinder
We have circumference (C) = 61 in.
Let's find the radius (r) using the formula:
C = 2πr
61 = 2 * 22/7 * r
r = 9.70 in
h = 2.1 ft = 2.1 * 12 = 25.2 in
Substituting into V = πr²h:
V = 22/7 * 9.70² * 25.2
V = 7451.9 cubic inches
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Select the correct answer. Consider this quadratic equation. x2 + 1 = 2x – 3 Which expression correctly sets up the quadratic formula? A. B. C. D.
The expression x = (2 ± √(-12)) / 2 is negative, this quadratic equation does not have real solutions.
The quadratic formula, we need the quadratic equation in the form ax^2 + bx + c = 0. The given equation is x^2 + 1 = 2x - 3. To set it up correctly, we need to move all terms to one side of the equation to have a zero on the other side.
Rearranging the equation, we get x^2 - 2x + 4 = 0. Now we can identify the coefficients a, b, and c.
The correct expression to set up the quadratic formula is:
B) x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation x^2 - 2x + 4 = 0, we have:
a = 1
b = -2
c = 4
Plugging these values into the quadratic formula, we have:
x = (-(-2) ± √((-2)^2 - 4 * 1 * 4)) / (2 * 1)
Simplifying further, we get:
x = (2 ± √(4 - 16)) / 2
x = (2 ± √(-12)) / 2
Since the expression inside the square root is negative, this quadratic equation does not have real solutions.
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Note the full question may be :
Consider the quadratic equation 2x^2 + 5x - 3 = 0. Which expression correctly sets up the quadratic formula?
A) x = (-b ± √(b^2 - 4ac)) / (2a)
B) x = (-b ± √(b^2 + 4ac)) / (2a)
C) x = (-b ± √(4ac - b^2)) / (2a)
D) x = (b ± √(b^2 - 4ac)) / (2a)
Please help me, first time I got it wrong
The conditional value probability is solved and P ( F | E ) = 6/17
Given data ,
P ( E ) = 0.85
P ( F ) = 0.4
P ( E ∩ F ) = 0.3
Now , the formula for conditional probability to calculate P(F|E):
P(F|E) = P(E ∩ F) / P(E)
We are given that P(E) = 0.85 and P(E ∩ F) = 0.3, so we can substitute those values in:
P(F|E) = 0.3 / 0.85
Simplifying this fraction, we get:
P(F|E) = 6/17
Hence , the probability of F given that E has occurred is 6/17 or approximately 0.35.
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Write 0.75 as a fraction in its simplest form
Answer:
0.75 can be written as :-
[tex] \frac{75}{100} [/tex]
and in simplest form it is:-
[tex] \frac{3}{4} [/tex]
so the answer is 3/4
Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.
3.4 cm, 3.1 cm, 6.6 cm
We can see here that the given side lengths cannot be used to form a unique triangle because the shorter sides do not add up to the longer side.
What is a triangle?The fundamental geometric shape of a triangle has three sides and three angles. It is a triangular polygon with three edges.
We can see here that in order to determine if the given side lengths:
3.4 cm, 3.1 cm, 6.6 cm
can form a unique triangle, many different triangles, or no triangle, we need to check if they satisfy the triangle inequality theorem.
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Let's check the conditions:
3.4 cm + 3.1 cm = 6.5 cm
6.5 cm > 6.6 cm (Not satisfied)
3.4 cm + 6.6 cm = 10 cm
10 cm > 3.1 cm (Satisfied)
3.1 cm + 6.6 cm = 9.7 cm
9.7 cm > 3.4 cm (Satisfied)
he specified side lengths cannot be used to create a triangle because the total of the two shorter sides' lengths (3.4 cm and 3.1 cm) is not larger than the length of the longest side (6.6 cm).
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evaluate 5x - 2y + 4z when x=3 , y=2 and z=4 (a)5 (b) 16 (c) 27 (d) 20
When x = 3, y = 2, and z = 4, the value of the expression 5x - 2y + 4z is 27.
The correct answer is (c) 27.
To evaluate the expression 5x - 2y + 4z when x = 3, y = 2, and z = 4, we substitute the given values into the expression and perform the arithmetic calculations. Here's the step-by-step process:
Step 1: Replace x with 3, y with 2, and z with 4 in the expression:
5(3) - 2(2) + 4(4)Step 2:
Perform the multiplications first:
15 - 4 + 16
Step 3: Perform the additions and subtractions from left to right:
15 - 4 + 16 = 11 + 16 = 27.
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Write and solve an equation to find the value of x.
Find the area of the stained glass window shown if the diameter of the semi-circle is 61 inches. Use 3.14 for , round your answer to the nearest square inch, and enter the number only.
Answer:
1460 square inches
Step-by-step explanation:
You want the area of a semicircle with diameter 61 inches.
AreaThe area of a circle is given by ...
A = (π/4)d²
The area of a semicircle is half that, so is ...
A = (π/8)d²
A = (3.14/8)(61 in)² ≈ 1460 in²
The area of the semicircular window is about 1460 square inches.
<95141404393>
Can someone please answer and provide an explanation for these problems?
The center and radius for each equation are as follows:
40. Center: (3, 2), Radius: 8
41. Center: (-8, 4), Radius: 6
42. Center: (-4, 12), Radius: 2
43. Center: (4, -15), Radius: 3
What is the center and radius of the equations?The standard equations of a circle is given as (x - h)² + (y - k)² = r²
Where the center are (h, k) and the radius of the circle is r.
40. (x - 3)² + (y - 2)² = 64
Center: (3, 2)
Radius: √64 = 8
41. (x + 8)² + (y - 4)² = 36
Center: (-8, 4)
Radius: √36 = 6
42. (x + 4)² + (y - 12)² = 4
Center: (-4, 12)
Radius: √4 = 2
43. (x - 4)² + (y + 15)² = 9
Center: (4, -15)
Radius: √9 = 3
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100 Points! Geometry question. Photo attached. Determine whether the pair of triangles is similar. If so, write a similarity statement. If not, what would be sufficient to prove the triangles similar? Explain your reasoning. Please show as much work as possible. Thank you!
Answer:
∆TSU ~ ∆PJM by SAS since 10/14 = 5/7 and 15/21 = 5/7, and angle S is congruent to angle J.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
SRTZ is not a parallelogram.
Slope of SZ:
[tex]m = \frac{ - 2 - 1}{1 - ( - 2)} = - 1[/tex]
Slope of RT:
[tex]m = \frac{0 - 3}{2 - 1} = - 3[/tex]
Since the slopes of SZ and RT are not equal, SRTZ is not a parallelogram.
Find the value for the side marked below. Round your answer to the nearest tenth 210 37 degrees
Using the cosine ratio, the value of the marked side in the image given below is approximately: y = 167.7.
How to Find the Value of the Marked Side Using the Cosine Ratio?The cosine ratio is defined as the ratio of the length of the hypotenuse of the right triangle over the length of the side that is adjacent to the reference angle. It is given as:
cos ∅ = length of hypotenuse/length of adjacent side.
From the image attached below, we have the following:
Reference angle (∅) = 37°
length of hypotenuse = 210
length of adjacent side = y
Plug in the values:
cos 37 = y/210
210 * cos 37 = y
y = 167.7
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Help I need the answer to this
The graph of the logarithmic function is attached below with a vertical asymptote at x = -8 and two integer coordinates at (2, -7) and (1, -10).
What is graph of a logarithmic function?The basic logarithmic function is of the form f(x) = logax (r) y = logax, where a > 0. It is the inverse of the exponential function ay = x. Log functions include natural logarithm (ln) or common logarithm (log).
To plot the graph of the given function, we simply need to use a graphing calculator.
The given function is;
f(x) = -3log₃(x + 8) - 4
To find the asymptotes of the graph;
x + 8 > 0
x > -8
The vertical asymptotes is at x = -8
The two points with integer coordinates are (2, -7) and (1, -10)
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what is 27% in a equivalent form using the two other forms of notian: fraction,decimal,or percent
You can write 27% as a fraction like this: [tex]\frac{27}{100}[/tex] . (27/100).
Or as a decimal 0.27.
Cual es la distancia que recorrió luis en su bicicleta rodada 20p (2.54) después que las llantas dieran 50 vueltas completas
porfaaa
Luis traveled approximately 31,736.8 inches on his bicycle.
We have,
To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.
Given:
Radius of the tires (r) = 20p (2.54) inches
Number of complete turns (n) = 50
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Substituting the given radius into the formula, we have:
Circumference = 2π * (20p) inches
Now we can calculate the distance traveled (d):
Distance = Circumference x Number of complete turns
Distance = 2π x (20p) x 50 inches
To simplify the calculation, we can approximate π as 3.14:
Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches
Calculating this expression, we find:
Distance ≈ 31736.8 inches
Therefore,
Luis traveled approximately 31,736.8 inches on his bicycle.
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The complete question.
What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns
Find the volume of the pyramid above
Find the surface are of the pyramid above pls help
The volume of the pyramid is 18069333.33 units³ and the surface area is 391600 units ²
What is a pyramid?A pyramid is a three-dimensional figure. It has a flat polygon base. All the other faces are triangles and are called lateral faces.
Surface area of a pyramid is expressed as;
area of 4 lateral face + area of base
area of base = 440²
= 193600 units²
area of a lateral = 1/2 bh
= 1/2 × 440 × 356
= 78320
For four surfaces = 4 × 78320 = 313280
Total surface area = 313280+78320
= 391600 units ²
Volume of a pyramid is expressed as;
V = 1/3base area × height
V = 1/3 × 440² × 280
V = 18069333.33 units³
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helpppppppppp meeeeee please
The missing sides of the triangle are given as follows:
[tex]SX = 4\sqrt{3}[/tex]RS = 12.What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For the angle of 30º, we have that:
6 is the opposite side.RS is the hypotenuse.Hence the hypotenuse RS is obtained as follows:
sin(30º) = 6/RS
1/2 = 6/RS
RS = 6 x 2
RS = 12.
Applying the cosine, we have that:
cos(30º) = 6/SX
[tex]\frac{\sqrt{3}}{2} = \frac{6}{SX}[/tex]
[tex]SX = \frac{12}{\sqrt{3}}[/tex]
[tex]SX = 4\sqrt{3}[/tex]
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Xavior took a total of 124 quarters and dimes to trade in for cash at the bank. He got exactly $25 back. How many quarters did he have?
A.
40
B.
62
C.
84
D.
100
Which point is located at 2,1
Answer: Point P
Step-by-step explanation: over 2 up 1 (2,1)
Answer: M
Step-by-step explanation:
PLS HELP ME, WILL GIVE BRAINLIEST!!!!!!!!!!!!!
sorry i was going to show work but my water spill on the paper. so answer is 556.05cm^2
Intro
Nautilus Clothing's stock has a 50% chance of producing a 15% return, a 20%
chance of producing a 21% return, and a 30% chance of producing a -13% return.
Part 1
What is the stock's expected return?
please help. i’m struggling on part C
a) The area formula for the rectangle is equal to A = r² · sin 2θ.
b) By derivative tests, the maximum possible area of the rectangle is 16 square centimeters.
c) The dimensions of the rectangle are: Width: 5.66 cm, Height: 2.83 cm
How to find the maximum possible area of a rectangle inscribed in a semicircle
In this problem we must determine the maximum possible area of a rectangle inscribed in a semicircle by means of first and second derivative tests. First, derive the area formula of the rectangle:
A = w · h
A = (2 · r · cos θ) · (r · sin θ)
A = 2 · r² · sin θ · cos θ
A = r² · sin 2θ
Where:
w - Width, in centimeters.h - Height, in centimeters.A - Area, in square centimeters.r - Radius, in centiemters. θ - Angle, in degrees.Second, perform first derivative test: (r - Constant)
A = 2 · r² · cos 2θ
2 · r² · cos 2θ = 0
cos 2θ = 0
θ = 45°
Third, perform second derivative test: (θ = 45°)
A'' = - 4 · r² · sin 2θ
A'' = - 4 · r² (MAXIMUM)
Fourth, determine the maximum possible area of the rectangle:
A = 4² · sin 90°
A = 16 cm²
Fifth, determine the width and the height of the rectangle: (r = 4, θ = 45°)
w = 2 · r · cos θ
w = 2 · 4 · cos 45°
w = 8 · √2 / 2
w = 4√2 cm
w = 5.66 cm
h = r · sin θ
h = 4 · sin 45°
h = 4 · √2 / 2
h = 2√2 cm
h = 2.83 cm
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En el laboratorio de análisis de minerales unas pequeñas gotas de ácido Nítrico (HNO3); cae sobre la piel de un analista y le produce una quemadura. ¿Cuántas moléculas de HNO3 provocaron la quemadura si las gotas presentan una masa de 0,49 g?
Entonces n is 0,00779 moles,
Los casi 5 sextillones (5 con 21 ceros) de moléculas de HNO3 provocaron la quemadura en la piel del analista.
Para responder a esta pregunta, necesitamos saber la masa molar de HNO3, que es 63,01 g/mol. Usando esta información, podemos calcular el número de moles de HNO3 en los 0,49 g de gotas usando la fórmula: n = m/M, donde n es el número de moles, m es la masa y M es la masa molar.
Como un mol contiene el número de moléculas de Avogadro (6,022 x 10^23), podemos calcular el número de moléculas de HNO3 en las gotas que causaron la quemadura: 0,00779 moles x 6,022 x 10^23 moléculas/mol = 4,69 x 10^21 moléculas .
Es importante recordar que los ácidos concentrados como el HNO3 pueden ser extremadamente peligrosos y pueden causar quemaduras graves, por lo que siempre se deben tomar las precauciones de seguridad adecuadas en un entorno de laboratorio.
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Answer and why!!!!!!
The expression (yx + y + px + p) / (5x² + 10x +5) * (10x + 10) / (y² + yp) is simplified to obtain
2/y
How to simplify the expressionThe given expression is
(yx + y + px + p) / (5x² + 10x +5) * (10x + 10) / (y² + yp)
The expression is simplified individually, using different each equation in the expression
yx + y + px + p
= y(x + 1) + p(x + 1)
= (y + p)(x + 1)
5x² + 10x +5
= 5(x² + 2x + 1)
= 5(x² + 1)
(10x + 10)
= 10(x + 1)
(y² + yp)
= y(y + p)
bringing the equations together and simplifying further
(y + p)(x + 1) / 5(x² + 1) * 10(x + 1) / y(y + p)
= 10(x + 1)(x + 1) / 5y(x² + 1)
= 10(x² + 1) / 5y(x² + 1)
= 2/y
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Gauri Spends 0.75 of her salary every month if she earns rs 12000 per month in how many months will she save rupees 39000
Answer:
13 months--------------------
If Gauri spends 0.75 of her salary every month, that means she saves 0.25 of her salary:
0.25 * 12000 = 3000Divide the total 39000 by her monthly savings:
39000 / 3000 = 13So it will take Gauri 13 months to save rupees 39000.
What is 1/3 of 343???????????
The number that is one-third of 343 is 49.
1/3 of 343 can be found by multiplying 343 by 1/3:
1/3 x 343 = (1/3) x (343) = 343/3
To simplify the result, we can divide both the numerator and denominator by the greatest common factor (GCF) of 343 and 3, which is 7:
343/3 = (343 ÷ 7) / (3 ÷ 7) = 49/1
Therefore, 1/3 of 343 is 49.
To learn more about the greatest common factor;
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What is the value of x? Show all your work.
Please help. 100 points.
Answer:
12 cm
Step-by-step explanation:
By hypotenuse theorem,
x² + 35² = 37²
x² + 35*35 = 37*37
x² + 1225 = 1369
x² = 1369 - 1225
x² = 144
x² = 12*12
x² = 12²
x = 12 cm