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rosijanka [135]
3 years ago
7

A natural number is ____ a rational number

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

The Rational numbers ( Q ) include the Natural numbers ( N ):

A natural number is <u>always</u> a rational number.

:)

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Step-by-step explanation:

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Including 5% sales tax, an inn charges $252 per night. Find the inn’s nightly cost before the tax is added
stira [4]

Hi,

To find the cost before tax, we must find out how much the tax is. So we multiply 252 x .05 to get 12.6. So we know the tax was 12.6 dollars. Now all we have to do is subtract that from the total to get our answer. 252 - 12.6 = 239.4.

Have a great day!

3 0
4 years ago
surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo
balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

Tan(58°) = h1/100m

Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

Tan(63°)*100m = h2 = 196.3m

Then the height of the aerial will be:

h2 - h1 =  196.3m -  160m = 36.3m

6 0
3 years ago
when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented
Lilit [14]

The complete question is;

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?

A) They are parallel because their slopes are the same

B) They are not parallel because their slopes are the same

C) They are parallel because their slopes are opposite reciprocals

D) They are not parallel because their slopes are opposite reciprocals

Answer:

Option D: They are not parallel because their slopes are opposite reciprocals

Step-by-step explanation:

Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.

Now, the general formula for slope intercept is;. y = mx + c.

Where m is the slope and c is the y - intercept.

This means the slope of bamby is - 4 while that of Primrose is 8.

The slopes are not the same and so options A and B are not correct.

Now, -4 is an opposite reciprocal of 8/-2.

But an opposite reciprocal means that both lines on the graph are perpendicular to each other.

Thus, option C is wrong because they are not parallel.

So correct option is D.

7 0
3 years ago
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