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user100 [1]
3 years ago
9

If a road has a grade of 30°, this means that it's angle of elevation is 30°. If you travel 1.5 miles on this road, how much ele

vation have you gained in feet (5280 ft = 1 mile)?
Mathematics
1 answer:
Vikki [24]3 years ago
6 0

The elevation gained after travelling 1.5 miles =  3960 ft.

Step-by-step explanation:

Given data,

  Angle of elevation = 30°

  Distance traveled= 1.5 miles

  1 mile = 5280 ft.

Therefore 1.5 miles = 5280 x 1.5

                                = 7920 ft.

 The height can be calculated by,

       sin 30° = height / 7920

              1/2 = height / 7920

       Height = 7920/2

                   = 3960 ft.

The elevation gained after travelling 1.5 miles will be 3960 ft.

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Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes di
quester [9]

Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

8 0
3 years ago
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svetlana [45]
Where are the options
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Twelve notebooks cost $15.48 in all. What is the price of one notebook?
Ksju [112]

Answer:

$1.29

Step-by-step explanation:

Divide 15.48 by 12:

15.48 divided by 12= 1.29.

$1.29

7 0
3 years ago
106 = 4x + 10<br><br>What is the answer to this​
Svet_ta [14]

Answer:

24

Step-by-step explanation:

24 x 4 = 96

96 + 10 = 106

I hope this helps!

3 0
2 years ago
Read 2 more answers
How can mental math help you find solutions to inequalities?
shepuryov [24]

Answer:

There are many examples the basics are also easy to remember.

Step-by-step explanation:

We can input these for the following equation.

x > 5

(x is greater than 5)

Then compare to - x < 5

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We try a sum

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we can then balance subtract -2

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then divide by 3

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We try another value

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We can check that each equality fits and alter the number accordingly.

For the first one we are saying it is no greater than 1

For the second we say it is greater than zero.

We are able to prove both have the answer.

Just like when we look for negative percentages and count down we record this as we count in mental math.

7 0
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