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
azamat
2 years ago
9

What is Five 6/8 - Three 7/8 =

Mathematics
1 answer:
REY [17]2 years ago
4 0

Answer:

1 and 7/8 or 1.875

Step-by-step explanation:

You might be interested in
Answer help me me me me
Kobotan [32]

Answer:

409

Step-by-step explanation:

296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.

5 0
1 year ago
Solve the problem below. In the space below, show your work, then explain in paragraph form how you solved it. Use precise mathe
vazorg [7]
I also need help on this question. Someone please help out
5 0
2 years ago
The length l, width w, and height h of a box change with time. At a certain instant the dimensions are l = 3 m and w = h = 6 m,
Gemiola [76]

Answer:

a) The rate of change associated with the volume of the box is 54 cubic meters per second, b) The rate of change associated with the surface area of the box is 18 square meters per second, c) The rate of change of the length of the diagonal is -1 meters per second.

Step-by-step explanation:

a) Given that box is a parallelepiped, the volume of the parallelepiped, measured in cubic meters, is represented by this formula:

V = w \cdot h \cdot l

Where:

w - Width, measured in meters.

h - Height, measured in meters.

l - Length, measured in meters.

The rate of change in the volume of the box, measured in cubic meters per second, is deducted by deriving the volume function in terms of time:

\dot V = h\cdot l \cdot \dot w + w\cdot l \cdot \dot h + w\cdot h \cdot \dot l

Where \dot w, \dot h and \dot l are the rates of change related to the width, height and length, measured in meters per second.

Given that w = 6\,m, h = 6\,m, l = 3\,m, \dot w =3\,\frac{m}{s}, \dot h = -6\,\frac{m}{s} and \dot l = 3\,\frac{m}{s}, the rate of change in the volume of the box is:

\dot V = (6\,m)\cdot (3\,m)\cdot \left(3\,\frac{m}{s} \right)+(6\,m)\cdot (3\,m)\cdot \left(-6\,\frac{m}{s} \right)+(6\,m)\cdot (6\,m)\cdot \left(3\,\frac{m}{s}\right)

\dot V = 54\,\frac{m^{3}}{s}

The rate of change associated with the volume of the box is 54 cubic meters per second.

b) The surface area of the parallelepiped, measured in square meters, is represented by this model:

A_{s} = 2\cdot (w\cdot l + l\cdot h + w\cdot h)

The rate of change in the surface area of the box, measured in square meters per second, is deducted by deriving the surface area function in terms of time:

\dot A_{s} = 2\cdot (l+h)\cdot \dot w + 2\cdot (w+h)\cdot \dot l + 2\cdot (w+l)\cdot \dot h

Given that w = 6\,m, h = 6\,m, l = 3\,m, \dot w =3\,\frac{m}{s}, \dot h = -6\,\frac{m}{s} and \dot l = 3\,\frac{m}{s}, the rate of change in the surface area of the box is:

\dot A_{s} = 2\cdot (6\,m + 3\,m)\cdot \left(3\,\frac{m}{s} \right) + 2\cdot (6\,m+6\,m)\cdot \left(3\,\frac{m}{s} \right) + 2\cdot (6\,m + 3\,m)\cdot \left(-6\,\frac{m}{s} \right)

\dot A_{s} = 18\,\frac{m^{2}}{s}

The rate of change associated with the surface area of the box is 18 square meters per second.

c) The length of the diagonal, measured in meters, is represented by the following Pythagorean identity:

r^{2} = w^{2}+h^{2}+l^{2}

The rate of change in the surface area of the box, measured in square meters per second, is deducted by deriving the surface area function in terms of time before simplification:

2\cdot r \cdot \dot r = 2\cdot w \cdot \dot w + 2\cdot h \cdot \dot h + 2\cdot l \cdot \dot l

r\cdot \dot r = w\cdot \dot w + h\cdot \dot h + l\cdot \dot l

\dot r = \frac{w\cdot \dot w + h \cdot \dot h + l \cdot \dot l}{\sqrt{w^{2}+h^{2}+l^{2}}}

Given that w = 6\,m, h = 6\,m, l = 3\,m, \dot w =3\,\frac{m}{s}, \dot h = -6\,\frac{m}{s} and \dot l = 3\,\frac{m}{s}, the rate of change in the length of the diagonal of the box is:

\dot r = \frac{(6\,m)\cdot \left(3\,\frac{m}{s} \right)+(6\,m)\cdot \left(-6\,\frac{m}{s} \right)+(3\,m)\cdot \left(3\,\frac{m}{s} \right)}{\sqrt{(6\,m)^{2}+(6\,m)^{2}+(3\,m)^{2}}}

\dot r = -1\,\frac{m}{s}

The rate of change of the length of the diagonal is -1 meters per second.

6 0
3 years ago
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
otez555 [7]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =A = \pi r^2

Putting values, we get:

1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}

Therefore, the sprinkler can spread water 18 feet away.

6 0
2 years ago
A 35-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
Elina [12.6K]
The answer is 5 inches
4 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the expression
    15·2 answers
  • Which is greater 1/7 or 3/12
    7·2 answers
  • Larry has read 31 pages of his library book. The book contains p total pages.
    11·1 answer
  • Please answer as soon as possible
    7·2 answers
  • What type of number is 302.14
    10·1 answer
  • Can someone please help me solve this?
    11·2 answers
  • What are some common factors of 25 and 250?
    5·2 answers
  • Uyuuuuuyyyuuuyyyyyy answer
    12·1 answer
  • A card is drawn from a standard deck of 52 cards. What is the theoretical probability of drawing an Ace? (Hint: A standard deck
    13·1 answer
  • 10 of 12<br> How far does an object travel if it travels at 30km/h for 2 hours
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!