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timama [110]
3 years ago
12

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the g

ravitational constant, g. This can be modeled by the equation P = mgh.
What is the equivalent equation solved for h?

= h
= h
Pmg = h
= h
Mathematics
2 answers:
PIT_PIT [208]3 years ago
8 0
H=P/mg is the solution
Alinara [238K]3 years ago
8 0

Answer:

h= p/mg

Step-by-step explanation:

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

P=mgh, we need to solve for h

To get 'h' alone we divide both sides by mg

\frac{p}{mg} =\frac{mgh}{mg}

mg gets cancelled on the right side

so h= p/mg

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Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.
UkoKoshka [18]

Answer:

a) 378 foot

b) 3780¢

c)10^3\times 2^1\times 3^3\times 7^1

Step-by-step explanation:

Given: Ribbon required to make 1 bow = 1.5 yards

We know that 1 yard = 3 foot

a) Number of bows Jeanne wants to make = 84

Foot of ribbon required to make 84 bows

= Number of bows Jeanne wants to make × Ribbon required to male 1 bow

= 84 × 1.5 yards

= 126 × 3 foot = 378 foot

Thus, Jeanne requires 378 foot of ribbon to make 84 bows.

b) Cost of ribbon = 10¢ per foot

Total money required to buy ribbon

= Cost of ribbon × Amount of ribbon required in foot

= 10 × 378

= 3780.00¢

c) Number of bows manufacture wants to make = 84 × 1000

= 84,000 bows

Amount of ribbon required to make bows

= 1000 × Amount of ribbon required to make 84 bows

=  1,000 × 378 = 378000 foot

To write it in exponential form:

378000 = 10^3\times 2^1\times 3^3\times 7^1

8 0
3 years ago
Please show step by step video
Yanka [14]
834/6=139
Each building will get 139 planks
Use long division

6 0
3 years ago
Read 2 more answers
Which is heavier 9 5/8 or 9 3/4 pounds
Over [174]
9 3/4 is heavier than 9 5/8. If you multiply 3/4 by 2/2, you will get 6/8, which is greater than 5/8.
6 0
3 years ago
Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this w
Lerok [7]

Answer:

153 batches

Step-by-step explanation:

4 0
3 years ago
Trapezoids and kites
lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 36\degree +70\degree+m.

\Rightarrow 106\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles of the kite are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

\Rightarrow m.

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

|RH|^2=12^2+20^2

|RH|^2=144+400

|RH|^2=544

|RH|=\sqrt{544}

|RH|=4\sqrt{34}

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore m

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

m

\Rightarrow m

\Rightarrow m

QUESTION 7

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 48\degree +110\degree+m.

\Rightarrow 158\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

\Rightarrow m.

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

|BC|^2=4^2+7^2

\Rightarrow |BC|^2=16+49

\Rightarrow |BC|^2=65

\Rightarrow |BC|=\sqrt{65}

QUESTION 9.

The sum of the interior angles of a trapezium is 360\degree.

\Rightarrow m.

\Rightarrow m.

But the measure of angle M and K are congruent.

\Rightarrow m.

\Rightarrow m.

\Rightarrow m.

\Rightarrow m.

6 0
3 years ago
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