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Alecsey [184]
3 years ago
15

Raul is making a scale model of an airplane that had a wingspan of 44 feet. If Raul's scale model is 1/16 the size of the actual

airplane, what is the wingspan of his model?
Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

The wingspan of his model is <u>2.75 feet</u>.

Step-by-step explanation:

Given:

Raul is making a scale model of an airplane that had a wingspan of 44 feet.

If Raul's scale model is 1/16 the size of the actual airplane.

Now, to find the wingspan of his model.

Length of the airplane wingspan = 44 feet.

<em>As given, Raul's scale model is 1/16 the size of the actual airplane.</em>

Now, to get the wingspan of his model:

\frac{1}{16} \ of\ 44

=\frac{1}{16}  \times 44\\\\=\frac{44}{16} \\\\=2.75\ feet.

Therefore, the wingspan of his model is 2.75 feet.

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How do I solve these?
makkiz [27]

1) The number is 12.

2) There are 7 passengers in a row.

3) Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

<h3>How to resolve word problems involving linear equations</h3>

In this question we find word problems involving linear equations, in each case we need to understand the statement, derive mathematical equations and looking for corresponding solutions by algebraic means. Now we proceed to solve for each case:

Case 1

A variable is found herein and we need to resolve on this linear equation: (x - A number)

(x + 8) / 4 = 1 + (1 / 3) · x

(1 / 4) · x + 2 = 1 + (1 / 3) · x

1 = (1 / 12) · x

x = 12

The number is 12.

Case 2

A variable is found herein and we need to resolve on this linear equation: (x - Number of passengers per row)

30 · x + 12 = 222

30 · x = 210

x = 7

There are 7 passengers in a row.

Case 3

Three variables are found herein and we need to resolve on these linear equations: (x - Water consumed by Carol, y - Water consumed by Xavier, z - Water consumed by Keela)

z = 2 · x                        (1)

y = z + 100                   (2)

x + y + z = 3000           (3)

Finally, we find the solution of this system:

x + (z + 100) + z = 3000

x + 2 · z = 2900

x + 4 · x = 2900

5 · x = 2900

x = 580 mL

z = 1160 mL

y = 1260 mL

Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

To learn more on systems of linear equations: brainly.com/question/21292369

#SPJ1

3 0
2 years ago
HJ
Olin [163]

Answer:

19 degrees

Step-by-step explanation:

From the question given

The interior angles are x+12 and x - 3

Exterior angle is <IJK = 5x-6

Using the rule that states that the sum of interior angle of a triangle is equal to the exterior

<JHI + <HIJ = <IJK

x+12 + x-3 = 5x - 6

2x+9 = 5x -6

2x - 5x = -6-9

-3x = -15

x = -15/-3

x = 5

Get <IJK

Recall that <IJK = 5x - 6

<IJK = 5(5) - 6

<IJK = 25-6

<IJK = 19 degrees

Hence the measure of <IJK is 19 degrees

8 0
3 years ago
Calculate the value of the exterior angle
aev [14]

What we know is that the sum of a triangle's internal angles are 180º, and a straight angle makes 180º.

first, we have to find the third internal angle(let's call it n) so that we can use it to find the exterior angle.

(3x + 20) + (4x + 5) + n = 180

simplify:

7x + 25 + n = 180

7x + n = 155

n = 155 - 7x

Now we can add it to the external angle to find x.

(155 - 7x) + (8x + 15) = 180

simplify:

170 + 8x - 7x = 180

170 + x = 180

x = 10

Now we can substitute it to the external angle.

8 x 10 + 15 = 95

the exterior angle is 95º.

8 0
3 years ago
I need help ! <br> <img src="https://tex.z-dn.net/?f=3%5Csqrt%7B5%7D%20%2B5%5Csqrt%7B15%7D" id="TexFormula1" title="3\sqrt{5} +5
Feliz [49]

Answer:

26

Step-by-step explanation:

SORRY IF IM WRONG

6 0
2 years ago
the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x​
lbvjy [14]

Answer:

2

Step-by-step explanation:

<u>Since it is AP, the common difference is same for any term:</u>

  • (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
  • 3x - 3 = 2x -1
  • 3x - 2x = 3 - 1
  • x= 2

<u>The first 3 terms are:</u>

  • 3, 6, 9

<u>Since the last term is 18, it means this AP has 6 terms:</u>

  • {3, 6, 9, 12, 15, 18}

<u>Answer: </u>as we need to find the value of x only, it is = 2

6 0
3 years ago
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