1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
I am Lyosha [343]
4 years ago
6

April built a model of the F-16 Fighting Falcon that is proportional to the actual F-16 Fighting Falcon. The actual F-16 has a l

ength of 14.8 meters and a wingspan that measures 9.8 meters. Her model has a length of 0.5 meter.
Mathematics
2 answers:
lukranit [14]4 years ago
4 0

Answer:

The wingspan of the model is 0.33 meter.

Step-by-step explanation:

Let as assume that we need to find the wingspan of the model.

The actual F-16 has a length of 14.8 meters and a wingspan that measures 9.8 meters.

It is given that length of the model is 0.5 meter.

Let x be the wingspan of the model.

It is given that a model of the F-16 Fighting Falcon that is proportional to the actual F-16 Fighting Falcon.

\frac{14.8}{9.8}=\frac{0.5}{x}

On cross multiplication we get

14.8\times x=0.5\times 9.8

14.8x=4.9

Divide both sides by 14.8.

x=\frac{4.9}{14.8}

x\approx 0.33

Therefore, the wingspan of the model is 0.33 meter.

Mars2501 [29]4 years ago
3 0
Length / wingspan

14.8 / 9.8 = 0.5 / x
cross multiply
(14.8)(x) = (9.8)(0.5)
14.8x = 4.9
x = 4.9 / 14.8
x = 0.331 meters....wingspan of model
You might be interested in
keira has 83 spelling words to study in 8 weeks. she already knows 3 words. she will study the same number of words each week. h
Lemur [1.5K]
10 because she already knows 3 so then you divide 80 (number of words she hasn’t learned) by 8 (the number of weeks) and you get 10.
5 0
3 years ago
Read 2 more answers
I have no idea how to do this. I can’t cooperate with the imaginary number, please help me
NeTakaya

Answer:

Step-by-step explanation:

This is a third degree polynomial because we are given three roots to multiply together to get it.  Even though we only see "2 + i" the conjugate rule tells us that 2 - i MUST also be a root.  Thus, the 3 roots are x = -4, x = 2 + i, x = 2 - i.

Setting those up as factors looks like this (keep in mind that the standard form for the imaginary unit in factor form is ALWAYS "x -"):

If x = -4, then the factor is (x + 4)

If x = 2 + i, then the factor is (x - (2 + i)) which simplifies to (x - 2 - i)

If x = 2 - i, then the factor is (x - (2 - i)) which simplifies to (x - 2 + i)

Now we can FOIL all three of those together, starting with the 2 imaginary factors first (it's just easier that way!):

(x - 2 - i)(x - 2 + i) = x^2-2x+ix-2x+4-2i-ix+2i-i^2

Combining like terms and canceling out the things that cancel out leaves us with:

x^2-4x+4-i^2

Remembr that i^2=-1, so we can rewrite that as

x^2-4x+4-(-1) and

x^2-4x+4+1=x^2-4x+5

That's the product of the 2 imaginary factors.  Now we need to FOIL in the real factor:

(x+4)(x^2-4x+5)

That product is

x^3-4x^2+5x+4x^2-16x+20

which simplifies down to

x^3-11x+20

And there you go!

4 0
4 years ago
Find the area and circumference of the circle. Use 3.14 for A.
Kaylis [27]

Answer:

A = 63.59

C = 28.26

Step-by-step explanation:

r = 4.5

Area of a circle:

A = πr²

A = 3.14(4.5²)

A = 3.14(20.25)

A = 63.59

Circumference:

C = 2πr

C = 2(3.14)(4.5)

C = 28.26

8 0
3 years ago
When printing an article of 2400 words, an entrepreneur decides to use two sizes of letters, using the largest one a printed pag
olga55 [171]

Step-by-step explanation:

x= Number of small pages

y= Number of full pages

1 x + 1 y = 21 .............1

Total words

1200 x + 1500 y = 27000 .............2

Eliminate y

multiply (1)by -1500

Multiply (2) by 1

-1500 x -1500 y = -31500

1200 x + 1500 y = 27000

Add the two equations

-300 x = -4500

/ -300

x = 15

plug value of x in (1)

1 x + 1 y = 21

15 + y = 21

y = 21 -15

y = 6

y = 6

x= 15 Number of small pages

y= 6 Number of full pages

6 0
3 years ago
Calculate the measure of ∠ PMU and ∠ UPM.<br><br> m∠ PMU = <br> m∠ UPM =
Julli [10]

Answer:

The Exterior Angle Theorem states that the measure of the exterior angle of a triangle is

equal to the sum of the measures of the two remote interior angles of the triangle. Angle

PMU is an exterior angle to nPBM and its corresponding remote interior angles are /PBM

and /BPM. So, I can calculate the sum of those two angle measures to find the measure

of /PMU

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Make a list of the even,compound factors of 60
    13·1 answer
  • Determine whether the relation is a function.<br><br> (4,0), (4,1), (5,2), (6,3), (6,4)
    14·1 answer
  • If the dimensions of the following cylinder are doubled, what factor will the surface area change by?
    12·2 answers
  • You buy a game for $40 , and the sales tax is $2 2 . What percent of the game price are you paying in sales tax?
    11·1 answer
  • How to do question 6
    6·1 answer
  • When rolling a number cube numbered 1 to 6, how would you describe the chances of rolling a number greater than or equal to 3 ve
    10·1 answer
  • Determine the y-intercept of 5x-6y=10
    7·2 answers
  • Triangle ABC has vertices A(−4, 3) , B(2, 3) , and C(−5, 1) . A dilation with a scale factor of 5 and center at the origin is ap
    6·1 answer
  • Parker was given this problem on his homework:−7(b+5).
    11·1 answer
  • Please i need help 70 points and brainliest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!