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
Studentka2010 [4]
2 years ago
14

a rectangular prism has a volume of 4,212 cubic yards, width 2 yards, and length 27 yards find it’s height in yards

Mathematics
2 answers:
weqwewe [10]2 years ago
7 0

Answer:

height = 78 yd

Step-by-step explanation:

<u>Formula</u>

Volume of a rectangular prism = width × length × height

Given:

  • volume = 4,212 yd³
  • width = 2 yd
  • length = 27 yd

Substituting given values into the formula and solving for height:

⇒ 4212 = 2 × 27 × height

⇒ 4212 = 54 × height

⇒ height = 4212 ÷ 54

⇒ height = 78 yd

suter [353]2 years ago
7 0

Answer:

<u>78 yards</u>

Step-by-step explanation:

<u>Formula for volume of a rectanguar prism</u>

  • Volume = length × width × height

<u>We have the values</u> :

  • Volume = 4,212 yd³
  • Width = 2 yd
  • Length = 27 yd

<u>Substituting the given values into the formula</u> :

  • 4,212 = 27 × 2 x height
  • height = 4,212/54
  • height = <u>78 yards</u>
You might be interested in
What number must be added to 14,056 to result in the sum of 38,773
Vlada [557]
24,717.
What you have to do is subtract 38,773-14,056 and then the answer would be 24,717. So all together 24,717 must be added to result in the sum of 38,773.
14,056+24,717=38,773.
8 0
4 years ago
X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = -\frac{4}{5}x+\frac{58}{5}

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

          \frac{5}{4}\times m_{2}=-1

                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

                  y = -\frac{4}{5}x+\frac{58}{5}

Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

7 0
3 years ago
What is the answer to 3c=-21?
Anna71 [15]
First, you need to get the variable by itself.
Divide three by both side.
c = -7
Brainliest answer? :)
7 0
3 years ago
Find the vertical distance between the two points !!!!! Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
olganol [36]

Answer:

The answer will be 7,-3

Step-by-step explanation:

3 0
3 years ago
Explain how to graph a line from the following equation <br><br> A. 2x-1=y<br> B. Y=-9/2x-2/8
antiseptic1488 [7]

Answer:  its b

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • On
    5·2 answers
  • What is the value of z in the diagram?
    5·1 answer
  • What is the answer to 2 times 3.61 plus 2.4624 plus 1.7496 plus 1.7496
    15·2 answers
  • Eight businesses were asked how many employees they have. Here is the data: 4, 5, 6, 5, 4, 6, 3, 8. Find the mean / A ocho empre
    6·2 answers
  • Please help me with this
    12·1 answer
  • Suppose f(x) = 2x + 4. Describe how the graph of g compares with the graph of f. g(x) = f(x) + 8
    15·2 answers
  • PLEASE HELP!!! :( <br>Consider the following figure <br>What is BD? ​
    5·1 answer
  • One number is 3 less than another number if their sum is 49
    5·1 answer
  • Rewrite the equation below so that it does not have fractions.
    14·1 answer
  • What is an equivalent expression to 5(m+1)-1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!