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Amiraneli [1.4K]
3 years ago
6

a liquid filled glass is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectang

lar base that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?
Mathematics
1 answer:
irina [24]3 years ago
5 0
LxWxH
10x6x15=900
the base is 10x6 then multiply with the height of the pyramid 15
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Five times the sum of x and negative two, or five times the difference of x and two
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Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21.  The positive nature of the discriminant tells us that there are two real, unequal roots.  Following the quadratic formula, we get:

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x = -----------------

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3 years ago
What is the length of leg s of the triangle below?
vekshin1

Answer:

4 units

Step-by-step explanation:

Let ABC be isosceles right angled ∆ right angled at B

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AC² = AB² + BC²

(√32)² = 4² + s²

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2 years ago
Help Me Plz!!!!!! Math!!!
atroni [7]

Answer:

5x + (- 1)

Step-by-step explanation:

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Read 2 more answers
What's x ? find the indicated side of the right triangle
expeople1 [14]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{x = 6}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{The image provided with 2 angles and one side}

Find:  \textsf{Solve for the unknown side of x}

Solution:  In order to determine the length of x we need to use some trigonometric functions.  Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees.  We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin.  Plug in the values and solve for the unknown.

<u>Plug in the values</u>

  • \textsf{sin(30) = }\frac{\textsf{opposite}}{\textsf{hypotenuse}}
  • \textsf{sin(30) = }\frac{\textsf{3}}{\textsf{x}}

<u>Multiply both sides by x</u>

  • \textsf{sin(30) * x = }\frac{\textsf{3}}{\textsf{x}}\textsf{ * x}
  • \textsf{sin(30) * x = 3}

<u>Divide both sides by sin(30)</u>

  • \textsf{sin(30) * x}*\frac{1}{\textsf{sin(30)}}\textsf{ = 3}}*\frac{1}{\textsf{sin(30)}}
  • \textsf{x = 3}}*\frac{1}{\textsf{sin(30)}}

<u>Simplify</u>

  • \textsf{x = 3}}*\frac{1}{\textsf{0.5}}
  • \textsf{x = 6}

Therefore, the value of the unknown variable x is 6 units.

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