Jaden places potatoes with a mass of 0.55 kilograms on a grocer's scale. The spring is displaced by 1.2 centimeters. He then places some onions on the scale that displace the spring by 0.67 cm. What is the mass of the onions (1 kg=9.8 N)? 5.39 kg 3.01 kg 0.67 kg 0.31 kg

Answers

Answer 1

Answer:

.31 kg

Step-by-step explanation:

F=kx

F = the force of the spring

k = the spring constant

x = the spring displacement (stretch or compression)

we also know that 1 kg = 9.8 N which also means that 9.8(kg)=F

let's first find the force of the first problem, which is .55 kg. Using the formula 9.8(kg)=F we can do 9.8(.55)=F which would mean the force is 5.39 N

so 5.39=k(1.2 centimeters)

Now we need to convert centimeters to meters. This would make 1.2 into .012m. Now our problem is 5.39=k(.012)

divide 5.39 by .012 to get 449.17

our k is 449.17

Now for our problem, we are going to find the mass.  

Do this by putting what we already know into the problem.

F=449.17(.67 centimeters)

Now we already know we need to convert centimeters to meters which will make our formula F=449.17(.0067m)

This will result in F=3.01 but the problem is asking for mass, not force.

Use the formula 9.8(kg)=F

9.8(kg)=3.01

kg=.31

solution: .31 kg


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Step-by-step explanation:


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Step-by-step explanation:

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Answers

Answer:

To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.

Step-by-step explanation:

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Answers

Answer

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Step-by-step explanation:

No explanation.

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Answers

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Step-by-step explanation:

You would use the distance formula.

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Answers

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Answer:

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Step-by-step explanation:

i took the test

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Answers

9514 1404 393

Answer:

  Either of ...

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Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

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<B, <A, <C
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Answers

Answer:

The order of the angles of Δ ABC from smallest to biggest is

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Step-by-step explanation:

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The longest side is opposite to the greatest angleThe shortest side is opposite to the smallest angle

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→ Find the longest and shortest sides

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Answers

False, the actual cube root of 60 is 3.9.

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Answer:

False

Step-by-step explanation:

The cube root of 60 cannot be simplified, as there are no factors to factor out of the equation. This makes the statement false.

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Answer:

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Step-by-step explanation:

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Answer:

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x+y=6y

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What is the question ?

Answer:

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Step-by-step explanation:

z+73+75=180

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Answers

Answer:

3315

Step-by-step explanation:

Given the data:

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Answers

Answer:

D

Step-by-step explanation:

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Answer:

D is the answer

Step-by-step explanation:

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number 1 answer

a saying you have to add all the w's

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c saying it is the simpliyed answer

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Step-by-step explanation:

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2pie

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

             D.    x = - 100

Step-by-step explanation:

[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]

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Answers

Answer:

300909891

Step-by-step explanation:

Answer:

300,909,891

Step-by-step explanation:

What are the missing parts that correctly complete the proof?

Given: point P is on the bisector of ABC.

Prove: point P is equidistant from the sides of ABC.

1. BP is the bisector of ABC- given

2. ABP≈CBP- ?

3. BXP and BYP are right angles- given

4. ?- all right angles are congruent

5. BP≈BP- ?

6. BXP≈BYP- ?

7. ?- corresponding parts of congruent triangles are congruent

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Answers

Answer:

Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.

This question stumped me too at first. I hope this helps!

The missing parts that correctly complete the proof are;

2) Definition of a bisector

4) ∠BXP ≅ ∠BYP.

5) Reflexive property of congruence.

6) AAS congruence theorem.

7) Corresponding sides of congruent triangles are congruent.

We are given;

Point P is on the bisector of ∠ABC.

2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.

4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.

5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.

6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.

7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.

Read more at; https://brainly.com/question/11357763

this is the only thing i do not understand about geometry

Answers

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

------------------------------------------------------------------------

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

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