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
pishuonlain [190]
3 years ago
6

A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room

is 2 feet more than twice the width. The height is 1 foot greater than the width.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

You might be interested in
Can anybody help this question?
Oxana [17]

Answer:

the first option

Step-by-step explanation:

really, just look at the table.

is the mean value (10.4) larger than the median (13.4) ?

I hope you can see right away that it is not.

and you can see they are not the same either.

so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.

so, it is between the first two options.

now think ! how do we draw number lines ? a coordinate axis ?

the smaller numbers left, the larger numbers right. the numbers grow from left to right.

the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.

6 0
3 years ago
I am a bit lost with this problem. Could someone please explain this to me :)
Serjik [45]
They want the point D such that D is equally distant away from the three gates. Call the gates A, B, and C

They want
AD = BD = CD

If we draw a circle through those three points, then point D would be the center
This circle is known as the circumcircle as it goes through the three points
The center D is the circumcenter

So all you have to do is find the perpendicular bisector of two segments of the triangle, say of AB and BC. Then find where those perpendicular bisectors meet. That intersection would be point D. 

Since we don't have actual numbers or coordinates to work with, we can't go further and actually find out where point D is located in terms of (x,y) coordinates. However, you can still get a good idea using a compass and straightedge. 
3 0
4 years ago
Solve for x <br> 19.<br> 20.<br> 21.<br> 22.<br> 23.<br> 24.
VARVARA [1.3K]

Answer:

I hope I helped sorry l didn't understand question number 19

3 0
4 years ago
A basket contains four apples and five peaches. Three times, you randomly select piece of fruit, returning to the basket, and th
Anarel [89]

Answer:

100/729

Step-by-step explanation:

The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.

P(Apple is selected) = number of apples / number of fruits= 4/9.

P(Peach is selected) = number of peaches / number of fruits= 5/9.

If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.

Therefore, the correct answer is 100/729!!!

3 0
4 years ago
7.05 as a fraction and as a percent
White raven [17]

Answer:

As a fraction: 141/20. As a percentage: 705%

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which triangles (if any) can be shown to be congruent using a rotation?
    9·2 answers
  • Use the distributive property to simplify the expression. [a-4{2a-3(a-2)}]
    7·2 answers
  • 4x^2 = 92 + 7x solve the equation using the guadratic formula, show all work
    11·1 answer
  • What's the greatest common factor for 22 and 55
    5·2 answers
  • Given: XY - tangent to circles k1(P) and k2(O) OX=16, PY=6 and OP=26 Find: XY
    13·1 answer
  • What is 62.713 rounded to the nearest hundredth?
    9·1 answer
  • Help MATH ASAP MARKING BRIANLIT!!
    5·1 answer
  • 1/4 as a percent. Why can't I figure this out I have no idea. Please help me out here. Thank you
    13·2 answers
  • Use the number line to solve (-1)-(-2)=
    6·1 answer
  • The distance from Remington to greenfield is 19 miles about how many miles is it , rounded to the nearest ten
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!