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fomenos
3 years ago
15

I need help with this math problem

Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer:

The radius of the hole is 0.42 feet

Step-by-step explanation:

<em>Let us revise the rule of the volume of a cylinder</em>

→ V = πr²h, where

→ V is the volume of the cylinder in a cubic unit

→ r is the radius of the base of the cylinder

→ h is the height of the cylinder

<em>Let us solve our question</em>

→ The volume of the cylinder is 3800 cubic feet

→ The height of the cylinder is 1.3 miles

<em>Very Important Note:</em> dimensions must have the same unit

→ Change the mile to feet

→ There are 5280 feet in 1 mile

→ Multiply 1.3 miles by 5280 to change it to feet

→ The height = 1.3 × 5280 = 6864 feet

<em>Let us substitute the values of V and h in the rule above</em>

∵ V = πr²h

∵ V = 3800 ft³

∵ h = 6864 ft

∴ 3800 = πr²(6864)

→ Divide both sides by 6864π to find r²

∴ r² = 0.1762205081

→ take √  for both sides to find r

∴ r = 0.4197862648

→ Round it to the nearest hundredth

∴ r = 0.42 ft

The radius of the hole is 0.42 feet

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Vera_Pavlovna [14]

Answer:

The way a proportion is set is as follows;

\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}

The Distance from Rio de Janeiro and San Jose Costa Rica is then found as  800 miles

Step-by-step explanation:

The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches

The map scale = 1 inch to 200 miles

To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;

\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}

Therefore, we have;

(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica

Which gives;

Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.

4 0
3 years ago
Please help
Zolol [24]

Given:

The function is

r(x)=0.05(x^2+1)(x-6)

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r(x)=0.05(x^2+1)(x-6)

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From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.

So, the given function r(x) has only one real root and other two real roots are complex.

Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

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3 years ago
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m_a_m_a [10]
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3 years ago
How to solve wx=x+5, tw=4x+5: tx
Hatshy [7]
Hello : 
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5 0
3 years ago
Plssss helpppp.i need itt nowww​
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Step-by-step explanation:

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