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Solnce55 [7]
3 years ago
11

Which of the following functions gives the length of the base edge, a(V), of a right square pyramid that is 8 inches tall as a f

unction of its volume, v, in cubic inches?
Mathematics
1 answer:
BARSIC [14]3 years ago
3 0

Answer:

s = √(3V/[8 in])

Step-by-step explanation:

Where are "the following functions" that were mentioned in this problem statement?  Please share them.  Thanks.

The volume of a right square pyramid is V = (1/3)(area of base)(height).  In more depth, V = (1/3)(s²)(h).  We want to solve this for s.

Multiplying both sides by 3 to eliminate the fractional coefficient, we get:

3V = s²(h), and so s² = 3V/h.

Taking the square root of this, we get:

s = √(3V/h).

Now let's substitute the given numerical value for the height:

s = √(3V/[8 in]).  We could also label this as a(V) as is done in the problem statement.

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The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra
kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

p-50 = \dfrac{50-52}{4000-3800}(x - 4000)

p-50 = \dfrac{-2}{200}(x - 4000)

p-50 = \dfrac{-x}{100}+ 40

p = \dfrac{-x}{100}+ 90

R(x) = x . p

R(x) = x (\dfrac{-x}{100}+ 90)

R(x) = \dfrac{-x^2}{100}+ 90x)

\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))

\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)

at \dfrac{d}{dx}(R(x)) = 0

\dfrac{-2x}{100}= -90

x = 4500

\dfrac{d^2}{d^2x}(R(x)) = -ve

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

p = \dfrac{-4500}{100}+ 90

p = $45

6 0
3 years ago
The ratio of boys to girls in Mr. Yang's class is 4:3. If there are 16 boys in the class, how many girls are there? O A. 8 girls
Varvara68 [4.7K]

Answer: B. 12 girls

Step-by-step explanation:

Since the ratio is 4:3 we can multiply both sides by 4 to get 16 boys and the equivalent number of girls for this problem, 16:12

8 0
2 years ago
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aalyn [17]

Answer:

Algebraic grouping symbols parentheses, brackets, braces, radicals, and fraction lines show where a group starts and ends, and help to establish the order used to apply math operations. Terms inside a grouping symbol have to be operated upon before they can be acted upon by anything outside the grouping symbol.

Thanks for letting me help!!

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12/11k÷4/3k<br><br>simplify the fraction
Nonamiya [84]

Answer:

9/11

Step-by-step explanation:

12/11k÷4/3k

Copy dot flip

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Divide the top and bottom by 4k

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2 years ago
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Find the surface area of each figure round your answers to the nearest hundredth if necessary
Wewaii [24]

Answer: 410 square km

Step-by-step explanation:

The area of each of the triangles with their base on the 10 km side is A=\frac{1}{2}(10)(13.4), so their combined area is (10)(13.4)=134.

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So, the total surface area is 120+156+134=\boxed{410 \text{ km}^{2}}

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