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Charra [1.4K]
2 years ago
14

A geodesic dome has a radius of 54 feet. What is the volume of the dome? Use 3.14 for pi.

Mathematics
1 answer:
dimulka [17.4K]2 years ago
5 0

Answer:

Modeling the dome as a hemisphere, V = 2/3 πr³ =  

(2/3)(3.14)(54 ft)³ = 629,624.64 ft³

Step-by-step explanation:

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3/4(x+5 1/2) = 5/8<br><br> Distributive Property <br><br> Brainly
Talja [164]

Answer:

x = - \frac{14}{3}

Step-by-step explanation:

Given

\frac{3}{4} (x + 5 \frac{1}{2} ) = \frac{5}{8}

Multiply both sides by 8 to clear the fractions

6(x + 5 \frac{1}{2} ) = 5 ← distribute parenthesis on left side

6x + 33 = 5 ( subtract 33 from both sides )

6x = - 28 ( divide both sides by 6 )

x = \frac{-28}{6} = - \frac{14}{3}

3 0
3 years ago
The discriminant of a quadratic equation is equal to -8, which statement describes the roots?
Maslowich

Answer:

  (a)  There are two complex roots

Step-by-step explanation:

The discriminant of a quadratic function describes the nature of its roots:

  • <u>negative</u>: two complex roots
  • <u>zero</u>: one real root (multiplicity 2)
  • <u>positive</u>: two distinct real roots.

__

Your discriminant of -8 is <em>negative</em>, so it indicates ...

  There are two complex roots

_____

<em>Additional comment</em>

We generally study polynomials with <em>real coefficients</em>. These will never have an odd number of complex roots. Their complex roots always come in conjugate pairs.

6 0
2 years ago
Audrey and Sam divided money in the ratio of 3 to 5. Audrey obtained $36, how much money do they have altogether?
Ivenika [448]

8:20 is the same as 2:5.

<h3>What is unitary method?</h3>
  • The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
  • Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
  • Recognizing the units and values is crucial when using the unitary technique to a problem.
  • Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

  • = 12 + S
  • S= (2/5)A
  • S= (2/5)(12+S)
  • 5S = 24 + 2S
  • 3S = 24
  • S = 24/3 = 8 = what Sam received
  • A= 8+12 = 20 = what Audreyreceived
  • 8:20 is the same as 2:5
  • divide both 8 and 20 by 4 to get the 2 to 5 ratio.

hence,8:20 is the same as 2:5.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

8 0
1 year ago
Johnny is starting a zoo. His favorite animals are lions, tigers and snakes. These are the only animals in the zoo and he has th
Tatiana [17]

The total number of snakes in the zoo is 10.

<h3>How to use ratio to find the number of snake?</h3>

The number of snake can be found using ratio as follows:

The animals in the zoo are lions, tigers and snakes and he has them in the ratio of 5 : 3 : 2. The total animal is 50 animals.

Therefore,

total snakes = 2 / 10 × 50

total snakes = 100 / 10

total snakes = 10

Therefore, the total number of snakes in the zoo is 10.

learn more on ratio here: brainly.com/question/14524026

#SPJ1

6 0
2 years ago
What is the solution set?<br><br> (0, -2)<br> (2, 0)<br> (7, 0)<br> (5, 3)
Dvinal [7]

Answer:

(5,3)

Step-by-step explanation:

Look for the coordinates of the point of intersection where the 2 graphs cross. This gives the solution.

In this case, they cross at (5,3) and they intersect at only one location (i.e there is only 1 solution)

7 0
3 years ago
Read 2 more answers
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