A 100-kg rock is on a 20-m cliff. If the rock is pushed off the cliff, how much kinetic energy does the rock have before hitting the ground?

Answer:

Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

Answer:

3:2

Step-by-step explanation:

Hope this helps and that you have a good day!

Answer:

The input is being multiplied by 10.

This can be represented with the function x * 10 = y with x representing the input and y representing the output.

Step-by-step explanation:

Answer:

cost

Step-by-step explanation:

Answer:

The answer to 2 is "acute".

The answer to 6 is "right triangle"

For 10, it actually is possible. An example is 50, 50, 80

Step-by-step explanation:

An acute triangle is when each angle is less than 90 degrees.

Any triangle with 90 degrees for one angle counts as a right triangle.

all angle measures in a triangle must add up to 180 degrees. Hope this helps!

Answer:

x = 14

z = 70

Step-by-step explanation:

(10x - 30) + (11x - 84) = 180

x = 14

(10(14) - 30) + z = 180

z = 70

Answer:

hope it helps

area of parallelogram: base × height = 17.6 cm sq

                                  ⇒ 4 × h = 17.6

                                  ⇒ h = 17.6/4

                                  ⇒ h = 4.4 cm

Step-by-step explanation:

The height of the parallelogram is 4.4 cm.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.

We know that, the area of parallelogram is Base × Height

Now, 17.6 =4× Height

Height =17.6/4

Height =4.4 cm

Therefore, the height of the parallelogram is 4.4 cm.

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"Your question is incomplete, probably the complete question/missing part is:"

If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .​

[tex] (\frac{x + 1}{x} ) ^{2} \\ = \frac{ {(x + 1)}^{2} }{ {x}^{2} } \\ = \frac{ (x + 1)(x + 1) }{ {x}^{2} } \\ = \frac{ {x}^{2} + 2x + 1}{ {x}^{2} } [/tex]

Hope you could get an idea from here.

Doubt clarification- use comment section.

Answer:

7

Step-by-step explanation:

im pretty sure at least. since x is on a midpoint, it'd half of 14.

See those similar lines

The line.of length x passes through midpoint of the traingles on opposite sides

At this case according to BPT theorem

Answer: the answer is D

Step-by-step explanation: - 2 *9 + 3* 7 = 3

-5 *9 + 6 * 7 = - 3

And 3>1

-3<1

Answer:

14

Step-by-step explanation:

x=4 y=1

Substitute them into the equation 3x-4yy+6

3(4)-4(1)+6

12-4+6

Answer:

Step-by-step explanation:

(1). (x - h)² + (y - k)² = r²

where (h, k) are coordinates of a center of the circle with radius r

(2). ( a ± b )² = a² ± 2ab + b²

~~~~~~~~~~~~~~

( 1 , - 2 ) ; r = 3

( x - 1 )² + ( y + 2 )² = 3²

x² - 2x + 1 + y² + 4y + 4 = 9

x² + y² - 2x + 4y - 4 = 0

a = - 2

b = 4

c = - 4

Answer:

9.50

Step-by-step explanation:

9.46 to the nearest tenth is 9.50,

wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.

Hope this helps!

Answer 9.5

Step-by-step explanation: i think-

Answer:

Lily has 7 Quarters and 10 Dimes

Step-by-step explanation:

Let's use pennies instead of $.

Let D and Q stand for the numbers of Dimes and Quarters, respectively.

We are told that there are 17 coins total:

  D + Q = 17

We also learn that they amount to 275 (pennies).  We can write that as:

10D + 25Q = 275  [Each D is worth 10 pennies, etc.]

We have two equations and two unknowns.  We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.

I'll rearrange the first:  

 D + Q = 17

  D = 17 - Q

Now use this value of D in the second equation:

10D + 25Q = 275

10(17-Q) + 25Q = 275

170 - 10Q + 25 Q = 275

15Q = 105

Q = 7  :  7 Quarters.

Since D + Q = 17:

D + 7 = 17

D = 10 Dimes

==========================================

Let's check these results:

Q = 7 Quarters

D = 10 Dimes

1.  Is this 17 coins in total?  (7+10 = 17)  YES

2.  Does this add to $2.75?  (10*10) + (7*25) = 275 cents?

 (100 + 176) = 275 (cents)   YES

============================

Lily has 7 Quarters and 10 Dimes

Answer:

the answer is X=12 Y=4

Step-by-step explanation:

X is 3 times the amount of Y and also 8 more. 4x3=12 and 12 is 8 bigger than 4

Answer:

Angels D and G

Step-by-step explanation:

Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.

I hope this helps have a great day and happy holidays  (｢•-•)｢

Answer:

∠D and ∠G

Step-by-step explanation:

Think about what alternate exterior angles are:

Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.

Step-by-step explanation:

2(3x + 4) - 4(x + 2) = 6

6x + 8 - 4x - 8 = 6

2x = 6

x = 6/2 = 3

Answer:

238 kg

Step-by-step explanation:

If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.

Answer:

  (4, -2)

Step-by-step explanation:

Use the expression for y given by the first equation to substitute for y in the second equation.

  2(2x -10) = x -8 . . . substitute for y

  4x -20 = x -8 . . . . . eliminate parentheses

  3x = 12 . . . . . . . . add 20-x

  x = 4 . . . . . . . . .divide by 3

  y = 2(4) -10 = -2 . . . substitute for x in the first equation

The solution is (x, y) = (4, -2).

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

We've been given to find out the values of x & y from the two given linear equations by substitution method.

Here we have,

As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,

[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]

[tex]:\implies\tt{4x - 20 = x - 8}[/tex]

[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]

[tex]:\implies\tt{3x = 12}[/tex]

[tex]:\implies\tt{x = \frac{12}{3} }[/tex]

[tex]:\implies\tt{x = 4}[/tex]

Placing x = 4 in equation (1) we get,

[tex]:\implies\tt{y = 2x - 10}[/tex]

[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]

[tex]:\implies\tt{y = 8 - 10}[/tex]

[tex]:\implies\tt{y = - 2}[/tex]

Answer:

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Step-by-step explanation:

a - y = b + [tex]\frac{y}{a}[/tex] ( multiply through by a to clear the fraction )

a² - ay = ab + y ( subtract y from both sides )

a² - ay - y = ab ( subtract a² from both sides )

- ay - y = ab - a² ← factor out y from each term on the left side

y(- a - 1) = ab - a² ( divide both sides by - a - 1 )

y = [tex]\frac{ab-a^2}{-a-1}[/tex] ( multiply numerator/ denominator by - 1 )

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Answer:

Step-by-step explanation:

2.6*50=130 km

Answer:

3rd option

Step-by-step explanation:

Under a rotation about the origin of 270°

a point (x, y ) → (y, - x ) , then

A (- 3, 4 ) → (4, - 3 )

B (4, - 5 ) → (- 5, - 4 )

C (1, 6 ) → (6, - 1 )

The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.

To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.

Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)

Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)

Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)

Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

For more details regarding coordinate plane, visit:

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Answer:

3,120

Step-by-step explanation:

hope it will help you

Answer:

Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.

Step-by-step explanation:

Answer:

no these degrees do not make a right triangle

Answer:

V= (2/3) π r³

hope this helps :>

Answer: The answer is 3x^2 - 7x + 7 = 0.

Answer:

70°

Step-by-step explanation:

The V angle is complementary with the R which means that

120° + V angle = 180° Therefore V = 60°

The sum of the internal angles of the triangles equals 180.

We have 50° + 60° + U = 180

70° is the answer