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lina2011 [118]
3 years ago
15

6 less than the product of a number and 3 is -18..what is the number?

Mathematics
1 answer:
seropon [69]3 years ago
4 0
The product of a number and 3 can be represented as 3n (where n = unknown number). Then 6 less than 3n is 3n - 6. 

3n - 6 = -18
3n = -12
n = -4

Check: 
-4 x 3 = -12
-12 - 6 = -18 (this works!) 
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You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is
lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C =  90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± \sqrt{a^{2} +b^{2} }

Substitute a and b:

c = ±\sqrt{346346^{2} +7777^{2} }

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

\frac{346346}{sinA} = \frac{346433.3}{sinC}

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

\frac{346346}{sinA} = \frac{346433.3}{1}

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

\frac{346346}{346433.3} = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( \frac{346346}{346433.3} ) = ∠A = 88.7°

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2 years ago
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AURORKA [14]
3v + w +8 - 2n 
<span>
Simplifying 3v + w + 8 + -2n

Reorder the terms: 8 + -2n + 3v + w
 
Hopes it helped!
</span>
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3 years ago
A company makes 100 bags. 32 of the bags have buttons but no zips. 32 of the bags have zips but no buttons. 35 of the bags have
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Answer:

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Step-by-step explanation:

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Use the formula y2 -y1/x2-x1
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Answer:

Step-by-step explanation:

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hope this helps

5 0
3 years ago
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