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
lara31 [8.8K]
3 years ago
6

Ambria received flowers for Valentine's Day that were in a vase shaped like a rectangular prism. If the vase measured 12 inches

long, 6 inches wide, and 10 inches high and was filled with water 4 inches from the top, what is the volume of the water that will be in the vase?
Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

Answer: 432\ in.^3

Step-by-step explanation:

Given

The dimension of a rectangular prism is 12\times 6\times 10\ in.^3

Water is filled 4\ in. from the top i.e. 10-4=6\ in. high

base area for the water is the same i.e.  12\ in.\times 6\ in.

The volume of rectangular prism is l\times b\times h

The volume of water in the vase is given by

\Rightarrow V=12\times 6\times 6=432\ in.^3

You might be interested in
Find dy/dx given that y = sin x / 1 + cos x​
kobusy [5.1K]

Answer:

\frac{1}{1 +  \cos(x) }

Step-by-step explanation:

y =  \frac{ \sin(x) }{1 +  \cos(x) }

<u>differentiating numerator wrt x :-</u>

(sinx)' = cos x

<u>differentiating denominator wrt x :- </u>

(1 + cos x)' = (cosx)' = - sinx

  • Let's say the denominator was "v" and the numerator was "u"

(\frac{u}{v}  )'  =  \frac{v. \: (u)'  - u.(v)' }{ {v}^{2} }

here,

  • since u is the numerator u= sinx and u = cos x
  • v(denominator) = 1 + cos x; v' = - sinx

=  \frac{((1 +  \cos \: x) \cos \: x )- (\sin \: x. ( -  \sin \: x)  ) }{( {1 +  \cos(x)) }^{2} }

=  \frac{ \cos(x)  +  \cos {}^{2} (x)  +   \sin {}^{2} (x) }{(1 +  \cos \: x) {}^{2}  }

since cos²x + sin²x = 1

=  \frac{ \cos \: x + 1}{(1 +  \cos \: x) {}^{2}  }

diving numerator and denominator by 1 + cos x

=  \frac{1}{1 +  \cos(x) }

6 0
3 years ago
List all the 3-digit numbers that fit these clues .the hundreds digit is greater than7 .the tens is 1 more than the hundreds dig
djverab [1.8K]
In this question, there are 3 conditions that need to be met
1. The number is 3-digit
2. Hundreds digit >7 (number that will fulfill it would be 8 or 9)
3. The tens is 1 more than hundred( since the hundred possibilities is 8 or 9, then 9 in hundreds can't be used since no number higher than 9)
4. The one digit <2( that mean 0, 1)

Using the list above, you can make your possible number:
890
891
3 0
3 years ago
What is 2/3 plus 4/9 equal
ss7ja [257]
2/3+4/9
denominator= 3*9=27
numerator = (18+12)= 30
therefore the answer is 30/27= 10/9
6 0
3 years ago
Read 2 more answers
If y=9 when x=7 find y when x=2?
PilotLPTM [1.2K]
Is that all the information? it could literally be any number with only that.
3 0
3 years ago
Express this number in standard form.<br> 1.588 \times 10^{-1} = {?}1.588×10 <br> −1<br> =?
Hunter-Best [27]

1.5879

1.588 times 10q.

3 0
3 years ago
Other questions:
  • indira, bonnie and chang all work at the same pet store. indira works every other day. bonnie works every fourth day. chang work
    8·1 answer
  • How do I find x and y in this equation
    11·1 answer
  • 949 rounded to the nearest ten
    5·1 answer
  • 4/20 divided by 1/5<br><br> SOMEONE PLEASE ANSWER THOS QUICKLY!
    7·2 answers
  • Your teacher has disabled instant marking. Your marks will appear a
    9·1 answer
  • What is 3 divided by 7 times 56 minus 45
    11·1 answer
  • What is the area of this figure?
    12·1 answer
  • I need help with this
    6·1 answer
  • 14 in<br> USE 3.14 for pi
    15·1 answer
  • QUESTION 2.1 POINT
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!