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
Mademuasel [1]
3 years ago
6

Mr. Wong cuts a coil of wire into two pieces in the ratio of 3:4. The length of the longer piece is 32 centimeters. What is the

total length of the coil of wire?
Mathematics
2 answers:
zheka24 [161]3 years ago
6 0

Answer:

56 cm

Step-by-step explanation:

The ratio of the lengths of the pieces is 3:4.

The longer piece is 32 cm.

We set up a proportion to find the length of the smaller piece.

Let the length of the smaller piece be x.

3 is to 4 as x is to 32

3/4 = x/32

4x = 3 * 32

4x = 96

x = 24

The smaller piece is 24 cm.

24 cm + 32 cm = 56 cm

Lady bird [3.3K]3 years ago
3 0

Answer: 56 centimeters long.

Step-by-step explanation:

You can find the other value in a ratio by dividing the value given by its corresponding value in the ratio, then multiplying the quotient by the other value in the ratio.

32 is the longer piece, and 4 is longer than 3.

32 / 4 = 8.

8 * 3 = 24

The shorter piece is 24 centimeters long.

The total length of the coil is 24 + 32, or 56 centimeters long.

You might be interested in
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
Look at this table.
NemiM [27]

OPTION:

B

Step-by-step explanation:

4 0
2 years ago
The sum of a number and 9 is multiplied by -2 and the answer is -8
nadya68 [22]
9(-2)+x=-8
And x would be positive 26
7 0
3 years ago
What is 3n-2/5=7/10 solve please
Tems11 [23]

Answer:  \bold{n=\dfrac{11}{6}}

<u>Step-by-step explanation:</u>

\dfrac{3n-2}{5}=\dfrac{7}{10}\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=\dfrac{55}{30}\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=\dfrac{11}{6}\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=\dfrac{11}{6}}\\

8 0
3 years ago
N
ZanzabumX [31]

Answer:

x = 4 is the solution

Step-by-step explanation:

given  = x ( square both sides )

x + 12 = x² ( rearrange into standard form )

x² - x - 12 = 0 ← in standard form

(x - 4 )(x + 3 ) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

Insert these values into the original equation, and if both sides are equal, and those are the solutions.

x = 4 :  =  = 4 = x ← correct

x = - 3 :  =  = 3 ≠ - 3 ← false

the answer is x = 4

7 0
2 years ago
Other questions:
  • Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
    13·1 answer
  • Which fraction is equivalent to 2/6?
    12·1 answer
  • Halee set up a lemonade and cookie stand at the end of her street. She is selling lemonade for $0.25 per cup and cookies for $0.
    14·2 answers
  • The length of a rectangle is 6 cm longer than its width.
    6·1 answer
  • Choose a symbol to make the following statement true
    6·2 answers
  • A school sells raffle tickets to raise money for a charity the money raised from selling raffle tickets, m, is represented by th
    15·1 answer
  • PLEASE HELPPP 7TH GRADE MATHHHH!! WILL GIVE BRAINLIEST!! NEED RN PLEASE
    12·1 answer
  • Classify the sequence {an) = {10,4,8/5,16/25,...} as arithmetic, geometric, or neither. If there is not enough information to cl
    11·1 answer
  • I need help. Find the value of each variable.
    15·2 answers
  • Find the 38th term of a sequence where the 24th term is −3 and the common difference is 12.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!