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
abruzzese [7]
4 years ago
9

On a scale drawing, a helicopter is 2.3 feet long. The scale on the drawing shows a ratio of 1 foot to 10 feet. What is the actu

al length of the helicopter, in feet?
PLEASE HELPP !!!!!!!
Mathematics
1 answer:
andrey2020 [161]4 years ago
8 0

Answer:

The actual length of the helicopter is <u>23 feet</u>.

Step-by-step explanation:

Given:

On a scale drawing, a helicopter is 2.3 feet long.

The scale on the drawing shows a ratio of 1 foot to 10 feet.

Now, to find the actual length of the helicopter.

Let the actual length of helicopter be x.

On scale drawing length of helicopter = 2.3 feet.

The scale on the drawing shows a ratio = 1:10.

Now, as ratios are given so by setting proportion we solve it:

\frac{2.3}{x} =\frac{1}{10}

<em>By cross multiplying we get:</em>

⇒ 2.3\times 10=x

⇒ 23=x

⇒ x=23\ feet.

Therefore, the actual length of the helicopter is 23 feet.

You might be interested in
Find the area of the parallelogram with vertices k(1, 1, 1), l(1, 3, 2), m(5, 8, 2), and n(5, 6, 1).
vovikov84 [41]
The area can be found as the magnitude of the cross product of the vectors representing two adjacent sides.
  area = || kl × kn || = || (0, 2, 1) × (4, 5, 0) ||
    = || (-5, 4, -8) || = √105


_____
For the purpose here, kl = l - k = (1, 3, 2) - (1, 1, 1) = (0, 2, 1)
and nk = n - k = (5, 6, 1) - (1, 1, 1) = (4, 5, 0)

The cross product can be calculated using a suitable calculator. By hand, it is the determinant
\left|\begin{array}{ccc}i&j&k\\0&2&1\\4&5&0\end{array}\right|
where i, j, k are unit vectors in the x, y, z directions.
8 0
4 years ago
1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. A. 1056 cm2 B. 1536 cm2 C. 816 c
Deffense [45]
We have that

<span>1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm

[surface area]=[area of 4 triangles sides]+[area of square base]
</span>[area of square base]=24*24--------> 576 cm²

[area of one triangles side]
l=slant height
l²=16²+12²-------> l²=400-----------> l=20 cm
[area of one triangles side]=24*20/2--------> 240 cm²
[area of 4 triangles sides]=4*240----------> 960 cm²
[surface area]=[960]+[576]--------> 1536 cm²

the answer part 1) is option B) 1536 cm²

<span>2. Use 3.14 for π and round to the nearest tenth.
</span>Find the surface area of the cylinder<span>
radius=8 in
<span>height= 8 in
</span></span>[surface area]=2*[area of circular base]+[Perimeter of base]*h
[area of circular base]=pi*8²----> 200.96 in²
Perimeter=2*pi*8--------> 50.24 in
[surface area]=2*[200.96]+[50.24]*8-----------> 803.84 in²

the answer Part 2) is the option C) 803.8 in²

<span>3. Find the volume of the cylinder.
</span>[volume of the cylinder]=[area of circular base]*h
[volume of the cylinder]=[200.96]*8---------> 1607.68 in³

the answer Part 3) is the option A.) 1607.7 in.3

<span>4.Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm
Base = 7 mm
Height = 3 mm
</span>
[volume of a rectangular prism]=L*B*H

[volume of a rectangular prism]=5*7*3----------> 105 mm³

the answer part 4) is the option <span>B.) 105 mm3

</span><span>5.Find the volume of the given pyramid.
A large pyramid has a height of 7 yards, radius of 9 yards, and base of 7 yards.
</span>this question is incorrect

the correct question is
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
or 
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

<span>we will solve the two cases
</span>
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
[volume of the pyramid]=pi*r²*h/3---------> pi*9²*7/3---------> 593.46 yd³

the answer Part 5a) is 593.46 yd³



5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

[volume of the pyramid]=b²*h/3---------> 7²*7/3---------> 114.33 yd³

the answer Part 5b) is 114.33 yd³


<span>6.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.

[</span>volume of a square pyramid]=b²*h/3---------> 9²*4/3-------> 108 cm³

the answer Part 6) is the option <span>B.)1</span>08 cm³
4 0
3 years ago
Patel bought a model rocket kit from a catalog. The
tankabanditka [31]

Answer:

7 weeks

Step-by-step explanation:

add 10 to 125 then divide by 20

5 0
3 years ago
Read 2 more answers
4. Evaluate the following expression for r= 5.<br> 2(r2 - 8)
inessss [21]

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

4

7 0
4 years ago
Sandi works for Elizabeth Arden Cosmetics and earns $500 per week salary plus 4% commission on sales over $2,000. If Sandi sold
Ainat [17]
To find the amount of money she earned out of the 2733 you must first find what 4% of 2000 is. its 80 which means for every $2000 she sells she earns $80. she sold just over 2 amounts of 2000 therefore
her salary is $609.32
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is greater 3.26 or 3 5/8
    13·2 answers
  • How to order decimals from least to greatest with different decimals places?
    6·1 answer
  • Eight times a number equals the number increased by 504. find the number.
    12·1 answer
  • Factor the expression below x^2-64
    14·1 answer
  • Oliver is buying a new dishwasher. The dishwasher’s price is $285.10 after tax. He has a few payment options. He can put it on h
    6·1 answer
  • Round 6,942,148 to the nearest million
    10·2 answers
  • In 5043 what number is in the hundreds place? please hurry! thank you!
    12·2 answers
  • What are the factors of 2x2 + 3x - 54? Select two options.
    11·1 answer
  • PLEASE HELP!!! Between which two consecutive integers is the value of x?
    11·1 answer
  • Marie kept track of the total hours and minutes she worked this week at the local health food store.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!