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IceJOKER [234]
2 years ago
7

Solve for h. 6h= 7h + 5 H= ?

Mathematics
2 answers:
Brilliant_brown [7]2 years ago
7 0

Answer:

The answer is H=-5

Step-by-step explanation:

adell [148]2 years ago
5 0

Answer:

h = -5

Step-by-step explanation:

1) Subtract 7th from both sides

6h = 7h + 5

6h - 7h= 7h + 5 - 7h

2) Simplify

- Combine like terms

6h - 7h = 7h + 5 - 7h

-h = 7h + 5 - 7h

- Combine like terms

-h = 7h + 5 - 7h

-h = 5

3) Divide both sides by the same factor

-h = 5

-h/-1 = 5/-1

4) Simplify

Cancel terms that are in both the numerator and denominator

h/-1 = 5/-1

h = 5/-1

Divide the numbers

h = 5/-1

h = -5

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Since the penny is dropped and not thrown, the initial velocity is 0 and the initial height is given as 150m. Plugging these into the given equation result in -4.9t^2+0t+150=-4.9t^2+150. To find how long it will take for the penny to hit the ground we set the equation equal to zero and solve for t. Since this doesn't factor, you'll need to use the quadratic formula:

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4 years ago
Solve the problem.A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course. At that t
Mice21 [21]

Given:

A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.

The distance between plan and mountain is 10 km.

A short time later, the bearing to the mountain becomes 45°.

Here NM is the distance between the plane from the mountain when the second bearing is taken.

We need to find the measure of NM.

We\text{ know that }\angle INM\text{ and }\angle\text{XNM are supplementary angles.}

The sum of the supplementary angles is 180 degrees.

\angle INM+\angle XNM=180^o\text{Substitute }\angle XNM=45^o\text{ in the equation.}

\angle INM+45^o=180^o

\angle INM=180^o-45^o

\angle INM=135^o

We know that the sum of all three angles of the triangle is 180 degrees.

\angle INM+\angle NIM+\angle INM=180^o\text{Substitute }\angle INM=135^o\text{ and }\angle NIM=35^o\text{ in the equation.}

135^o+35^o+\angle INM=180^o

170^o+\angle INM=180^o

\angle INM=180^o-170^o

\angle INM=10^o

Consider the sine law.

\frac{\sin N}{IM}=\frac{\sin M}{IN}=\frac{\sin I}{NM}

Take the equation to find the measure of NM.

\frac{\sin N}{IM}=\frac{\sin I}{NM}\text{Substitute }\angle N=135^o,\angle I=35^o,\text{ and IM=10 in the equation.}

\frac{\sin 135^o}{10}=\frac{\sin35^o}{NM}

NM=\frac{\sin 35^o}{\sin 135^o}\times10NM=8.11

Hence the measure of NM is 8.1 km.

The plane is 8.1 km far from the mountain when the second bearing is taken.

5 0
1 year ago
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