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4 years ago

What is -3 - 9n= 42 I can’t be negative

Mathematics

1 answer:

maw [93]4 years ago

4 0

If you were to correctly simplify this equation, the answer would be a negative.

The answer is: n = -5

Here's how I got my answer:

Step 1: Add 3 to both sides. Which leaves us with $-9n=42+3$

Step 2: Simplify $42+3$ to 45. Which leaves us with $-9n = 45$

Step 3: Divide both sides by -9. Which leaves us with $n = -45/9$

Step 4: Simplify $-45/9$ , to get your answer, n = -5.

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3 years ago

3) The foot of a ladder is 1.2 m from a fence

VashaNatasha [74]

Answer: $4.5\ meters$

Step-by-step explanation:

Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.

Notice that there are two similar triangles.

So, you can set up the following proportion:

$\frac{1.8}{1.2}=\frac{h}{(1.2+1.8)}$

Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".

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3 years ago

Jessica has a shelf that is 26 inches long . If she cuts off 12 3/8 inches what is the new length of the shelf ?

maw [93]

14 and 5/8 inches long now

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3 years ago

Pls tell the answer fast please

jekas [21]

Answer:

If I had to take an educated guess I'd say 126° but I'm not 100% sure.

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3 years ago

Read 2 more answers

A 95-foot wire attached from the top of a cell phone tower makes a 62 degree angle with the ground. Joey is standing 150 feet be

a_sh-v [17]

Answer:

23.32 degrees

Step-by-step explanation:

We set up a large right triangle that has 2 triangles within it. The large triangle is a right triangle. The height of it is the height of the tower, the base angle is 62, the hypotenuse is 95, and the base measure is y. The other triangle has the same height which is the height of the tower, the angle is what we are looking for, and the base measure is 150 feet beyond y, so its measure is y + 150. We have enough information to find the height of the tower, so let's do that first. Going back to the first smaller triangle.

$sin62=\frac{x}{95}$ so the height of the tower is 83.88 feet. Now we need to solve for y. Using that same triangle and the tangent ratio, we find that $tan62=\frac{83.88}{y}$ . Now let's do the same thing for the other triangle with the unknown angle.

$tan\beta =\frac{83.88}{y+150}$

Solve both of these for y. The first one solved for y:

$y=\frac{83.88}{tan62}$

The second one solved for y will simplify to:

$y=\frac{83.88-150tan\beta }{tan\beta }$

Now that these are both solved for y, and y = y, we can set them equal to each other by the transitive property of equality:

$\frac{83.88-150tan\beta }{tan\beta }=\frac{83.88}{tan62}$

Cross multiply to get this big long messy looking thing:

$tan62(83.88-150tan\beta )=83.88tan\beta$

Distribute through the parenthesis to get

$83.88tan62-[(tan62)(150tan\beta)]=83.88tan\beta$

Get the unknown angles on the same side so it can be factored out:

$83.88tan62=83.88tan\beta +[(tan62)(150tan\beta )]$

And then factoring it out gives you:

$83.88tan62=tan\beta(83.88+150tan62)$

Divide to get

$tan\beta =\frac{83.88tan62}{83.88+150tan62}$

Do this on your calculator in degree mode to give you an angle measure of 23.32°. I know this is really hard to follow without being able to draw the pics for you like I do in my classroom, but hopefully you can follow my description and draw your own triangles and follow from that!

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3 years ago