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kenny6666 [7]
2 years ago
9

Drag each label to the correct location on the image. Each label can be used more than once, but not all labels will be used.

Mathematics
1 answer:
pickupchik [31]2 years ago
8 0

(1) When Emma is standing at the top of the mountain, the energy encountered is potential energy.

(2) When Emma is jumping down from the mountain top, the energy encountered is both kinetic energy and potential energy.

(3) The energy creating the tensional force on the rope at Emma’s lowest position is elastic potential energy.

(4) When Emmas is bouncing back, he will encounter both kinetic energy and potential energy.

<h3>Conservation of energy</h3>

The energy encountered by Emma and the rope at each point is determined from the principle of conservation of mechanical energy.

<h3>1.0 Emma standing on top of mountain </h3>

When Emma is standing at the top of the mountain, the energy encountered is potential energy this is due to his position above the ground level.

P.E  = mgh

<h3>2.0 Emma jumping down from mountain top</h3>

When Emma is jumping down from the mountain top, the energy encountered is both kinetic energy and potential energy. This is as a result of his position above the ground level and his motion downwards.

M.A = K.E + P.E

<h3>3.0 Tension in rope at Emma’s lowest position</h3>

The energy creating the tensional force on the rope at Emma’s lowest position is elastic potential energy.

U = ¹/₂kx²

<h3> 4.0 Emma bouncing back</h3>

When Emmas is bouncing back, he will encounter both kinetic energy and potential energy due to his motion and position above the ground.

Learn more about potential energy here: brainly.com/question/14427111

#SPJ1

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Please please help me
OLga [1]

Answer:

(x - 5)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (5, - 3) and r = 4, thus

(x - 5)² + (y - (- 3))² = 4², that is

(x - 5)² + (y + 3)² = 16 ← equation of circle

4 0
3 years ago
HELPPP!!!! Both questions are incredibly confusing to me !!!!!
Darya [45]

Answer:

Step-by-step explanation:

I'm going to start with problem 3. You need to become familar with the kind of tricks teachers play on you.

Problem 3 depends on getting RS = RW.

RT = RT                                    Reflexive property

<STR = <WTR                           A straight line having 1 rt angle  actually has 2

ST = TU                                    They are marked as equal

Triangle STR=Triangle WTR    SAS

RS = RW                                    Corresponding parts of = triangles are =

8x = 6x + 5                                Subtract 6x from both sides

8x -6x = 6x - 6x + 5                   Combine

2x = 5                                         Divide by 2

2x/2 = 5/2

x = 2.5

RU = 6*2.5 + 5

RU = 15 + 5

RU = 20

Now we can play with Question 4.

This question depends on the method used in three, although not entirely.

What you need to know is that W is on RT when you take a ruler and make RT longer. You can put W anywhere as long as it is on RT when it is made longer.

Directions

Make RT longer. Draw down and to your right.

Put a point anywhere on the length starting at T. Label this new point as W. There's your W. It goes anywhere on the part of RT made longer.

Draw UW.

Label UW as 8

Now draw another line from S to W. Guess what? By the methods used in question 3, it's also 8. So SW = 8

TW = TW                        Reflexive

<UTW = STW                 Same reason as in 3. UtW is a right angle

UT = ST                          Given (the marking tells you so.

ΔUTW = ΔSTW              SAS

UW = SW                       Corresponding parts of = triangles are =

SW  = 8

7 0
2 years ago
Which of the following ( 15, 20, 30, 57 ) is the product of exactly three different prime numbers?
Andrei [34K]

Answer:

30=2*3*5, so it's 30

Step-by-step explanation:

15=3*5, so it's not 15

20=2*2*5, so it's not 20

30=2*3*5, so it's 30

57=19*3, so it's not 57

3 0
2 years ago
Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.
leva [86]
Let x= number of board games 
<span>20x=10410+2.65x </span>
<span>-2.65 -2.65 </span>
<span>17.35x=10410 </span>
<span>/17.35 /17.35 </span>
<span>x=600 </span>
<span>You would need to sell at least 600 board games to break even</span>
3 0
3 years ago
What is the equation of the line that is parallel to the line 12x + 15y = 10 and passes through the point (5, −2)
Aleonysh [2.5K]

Answer:

The slope of the given line and a line parallel to it is 5/2.

Step-by-step explanation:

Explanation:

Given:

5

x

−

2

y

=

11

is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for

y

to change the equation to slope-intercept form:

y=mx+b, where: m is the slope and b is they intercept.5x−2y=11      

Subtract 5x from both sides. −2y=−5x+11

Divide both sides by −2. y=−5/−2x+11/2

Simplify. y=5/2 x −11/2

The slope of the given line and a line parallel to it is 5/2.

.

7 0
2 years ago
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