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
katrin [286]
3 years ago
12

A house is 46.0 ft long and 50 ft wide, and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic m

eters and cubic centimeters
Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
Volume of house = 46*50*8=18400 ft^3
Each foot equals 0.3048 m. (exactly).
Therefore 1 ft^3 = 0.3048^3 m^3
Therefore volume of the interior of the house 
= 18400 ft^3 * .3048^3 m^3/ft^3
=18400*.3048^3 m^3
=521.0299772928 m^3
=521 m^3 (nearest m^3) ................(a)
or, in cubic centimeters
=521 m^3 * (100cm/m)^3
=521.0299772928 * 100^3 cm^3
=521029977.2928 cm^3
=521029977 cm^3  (nearest cm^3) .........(b)

Answer: see (a) and (b).
You might be interested in
If a fish swims 7/8 of the depth of 32 foot deep lake, how many feet down did the fish swim?
erastova [34]
The answer is 8÷32 4 4×7 28
4 0
3 years ago
I GRADUATE AFTER THIS ONE PLEASE HELP
soldi70 [24.7K]
A hyperbola is formed
3 0
3 years ago
Read 2 more answers
Stans steak house has a server to cook ratio of 5 to 2.The total number of servers and cooks is 42. How many servers does Stans
aivan3 [116]

Answer: 30 servers

5+2 = 7

42/7 = 6 sets of employees

5*6 = 30 servers

Step-by-step explanation:

5+2 = 7

42/7 = 6 sets of employees

5*6 = 30 servers

3 0
3 years ago
An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.
Softa [21]

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight = \frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

7 0
3 years ago
Read 2 more answers
What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

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

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

7 0
3 years ago
Other questions:
  • Please help and thank you!
    14·1 answer
  • Find Sn for the given arithmetic series a1=-26 d=-9 n=24
    15·1 answer
  • How much money do you earn in 1 hour if you earn 20 in 4 hours
    15·2 answers
  • Area of the blue shaded region??? please show work​
    11·1 answer
  • I WILL GIVE BRAINLIEST + 8 POINTS IF YOU PLOT THE POINTS ON THE GRAPH!!!
    13·1 answer
  • A health food store was charging $5.40 for a small salad but raised the price 8% the new price after the increase is $5.83 enter
    10·1 answer
  • 3x+5=23 what is the value of x?
    6·2 answers
  • Ind the surface area of the square pyramid shown below.
    15·2 answers
  • I need help quick!! its due in 10 mintunes helpp!!!!!
    14·2 answers
  • A lender estimates that the closing costs on a $170,000 home loan will be $6,375.00. The actual closing costs were 4.0%of the lo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!