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zhenek [66]
2 years ago
9

3. A rock is lying on a rock ledge that is 3 m high. The rock as 120 J of potential energy.

Mathematics
1 answer:
n200080 [17]2 years ago
6 0

Answer:

For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

Step-by-step explanation:

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Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√
Andrei [34K]

Answer:

  • x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
  • x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

  2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

  sin(x) = (√82 -√72)/2

  x = arcsin((√82 -√72)/2)

Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

___

In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

6 0
3 years ago
Jordan was driving down a road and after 4 hours he had traveled 82 miles. At this speed, how many miles could Jordan travel in
babymother [125]
You can use a proportion.

4 hours is to 82 miles as 14 hours is to x miles

4/82 = 14/x

Cross multiply to get

4x = 14 * 82

4x = 1148

x = 287

287 miles
8 0
3 years ago
Read 2 more answers
A pound of chocolate costs 8 dollars. Kelsha buys p pounds. Write an equation to represent the total cost c that Keisha pays.
mote1985 [20]

The equation would be 8 times the amount of pounds bought equals the amount paid.

<h2>Answer:</h2>

8p = c

5 0
3 years ago
Jaun's age, x, is 4 times his age 15 years ago
KIM [24]

The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

<h3>How to rewrite the statement as an expression?</h3>

The mathematical statement is given as

Jaun's age, x, is 4 times his age 15 years ago

From the statement, we have:

x represent Juan's current age

This means that his age 15 years ago is

15 years ago = x - 15

4 times his age 15 years ago is

4 * 15 years ago = 4 * (x - 15)

The above equation is equivalent to his current age

So, we have

x = 4 * (x - 15)

Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

Read more about expressions at

brainly.com/question/2972832

#SPJ1

7 0
1 year ago
a retailer buys a radio from the wholesaler for $75.he then marks up the price by 1/3 and sells it at a discount of 20%.what was
soldier1979 [14.2K]
He makes it up by 1/3=.333%=$75*1.333=$99.98
he then discounts it by 20%=1/5=99.98/5=$19.99
If the original profit is $99.98-$75=$24.98
and then discounted by $19.99
it would be $24.98-$19.99
=
$4.99
3 0
3 years ago
Read 2 more answers
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