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3 years ago

Solve the inequality for x. 7x > 42

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer: x > 6

Step-by-step explanation: Since <em>x</em> is being multiplied by 7,

we divide by 7 on both sides of the inequality to get x > 6.

Now you should write your answer in set notation.

So we have {x: x > 6} which means that

any number greater than 6 is a solution.

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The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.

Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, $h=15\ ft$

The distance from the base of the pole to this point on the ground is, $b=8\ ft$

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

$(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2$

Plug in the given values and solve for 'l'. This gives,

$l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17$

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0

3 years ago

The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at

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To drive same distance (60) with r = 50, the time needed is 60/50 =1.2 hrs

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3 years ago

Read 2 more answers

A game field is 360 feet long. The practice field is 2/5 shorter than the practice field. How long is the game field?feet

vlabodo [156]

Answer:

The practice field is 144 feet long.

Step-by-step explanation:

360 x 2/5 = 144

(You would multiply these numbers NOT divide!)

To check my math:

2/5 = 0.4

144/360 = 0.4

By doing the above check, I know the two equations are the same. By seeing this I can know that the answer is correct.

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2 years ago

Solve the inequality for x. 7x > 42​

Solve the inequality for x. 7x > 42