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Kaylis [27]
1 year ago
8

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long. What is the length of the

remaining piece of thread?
Mathematics
1 answer:
lukranit [14]1 year ago
8 0

Answer:

The length of the remaining piece of thread is  \frac{1}{16}.

Step-by-step explanation:

Given:

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long.

Now, to find the length of the remaining piece of thread.

Total thread  = \frac{9}{16} \ inch.

Tailor cuts a piece of thread = \frac{1}{2}\ inch.  

Now, to get the length of the remaining piece of thread by subtracting tailor cuts a piece of thread from the total thread:

\frac{9}{16} -\frac{1}{2} \\\\=\frac{9-8}{16} \\\\=\frac{1}{16}

Therefore, the length of the remaining piece of thread is  \frac{1}{16}.

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Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, i
lidiya [134]
0.35 cups/hour

To be able to determine the rate at which the water is leaking from the pipe with the information given, you have to divide the number of cups by the number of hours in which they were collected:
12 cups/34 hours= 0.35 cups/hour
According to this, the answer is that the rate at which the water is leaking from the pipe is 0.35 cups/hour.

Hope this helps!!
5 0
2 years ago
ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
FromTheMoon [43]

Answer:

  • 5.8206 cm
  • 10.528 cm
  • 23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

__

(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

__

(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

5 0
2 years ago
Timothy makes reduced copies of a photograph that has an actual length of 8 in. Each time he presses the reduce button on the co
Aleksandr-060686 [28]

Answer:

length of the photograph will be 4.2 in. after pressing the button 5 times.

Step-by-step explanation:

By pressing the button, every time size of the photograph gets reduced by 12%.

Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,

L = l(1-\frac{12}{100})^{n}

Where l = Actual length of the photograph

L = length of the reduced image

n = Number of times the button has been pressed

For l = 8 in. and n = 5

L = 8(1-0.12)^{5}

  = 8(0.88)^{5}

  = 4.22 in

L ≈ 4.2 in.

Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.

3 0
2 years ago
The volume of a sphere whose diameter is 18 centimeters is 246 324 648 972 π cubic centimeters. If its diameter were reduced by
Dmitry [639]
1/4, since the radius is also halved if the diameter is halved, meaning (radius/2)^2 is radius^2 * 1/4.
5 0
1 year ago
Read 2 more answers
How do you factor: 5x^3+30x^2+45x (please show steps)
Natasha2012 [34]

Answer:

Idk

Step-by-step explanation:idk

3 0
2 years ago
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