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2 years ago

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Write a function V for the volume (in cubic yards) of the right circular cone shown. Then write a function W that gives the volu

me (in cubic yards) of the cone when x is measured in feet.

1 answer:

Rashid [163]2 years ago

4 0

Answer:

c

Step-by-step explanation:

You might be interested in

1) The deer population in a national park is expected to decline over time. The park

Lorico [155]

Answer:

Here's what I find.

Step-by-step explanation:

You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.

a) i) The recursive formula

Let dₙ = the deer population n years after the initial measurement.

$d_{n} = d_{n - 1}r^{n}$

For this situation,

$d_{n} = d_{n - 1}(0.5)^{n}$

a) ii) Definitions

n = the number of years from first measurement

r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.

a) iii) First term of sequence

The first term of the sequence is d₀, the population when first measured.

b) The function formula

The formula for the nth term of a geometric series is

$d_{n} =d_{0}r^{n - 1}$

c) Value of d₀

Let n = 2; then d₂ = 800

$\begin{array}{rcl}800 & = & d_{0}(0.5)^{2 - 1}\\800 & = & d_{0}(0.5)\\\\d_{0} & = & \dfrac{800}{0.5}\\\\& =&\mathbf{1600}\\\end{array}$

4 0

3 years ago

Is 64 inches is greater less than are equal to 5 feet

dedylja [7]

Greater than because 5 feet equal 60 inches

4 0

2 years ago

Is 0.1875 closer to 1/8 or 1/4 inch on a number line?

svetlana [45]

It is closer to 1/4.

Hope this helps.

-TheOneandOnly003

7 0

2 years ago

Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1000 was collected and 150 tickets sold. How

vesna_86 [32]

Let the number of students who bought tickets be s,
Let the number of adults who bought tickets be a,

Equation 1:

$3s \: + \: 8a \: = \: 1000$

Equation 2:

$s \: + \: a \: = \: 150 \\ s \: = \: 150 \: - \: a$

Substitute ( 2 ) into ( 1 ),

$3(150 \: - \: a) \: + \: 8a \: = \: 1000 \\ 450 \: - \: 3a \: + \: 8a \: = \: 1000 \\ 5a \: = \: 550 \\ a \: = \: 110$

Substitute a = 110 into ( 2 ),

$s \: + \: 110 \: = \: 150 \\ s \: = \: 40$

Ans: 40 Student Tickets, 110 Adult Tickets

7 0

2 years ago

A right pyramid with a regular hexagon base has a height of 3 units If a side of the hexagon is 6 units long, then the apothem i

Setler79 [48]

Answer:

Part a) The slant height is $3\sqrt{2}\ units$

Part b) The lateral area is equal to $54\sqrt{2}\ units^{2}$

Step-by-step explanation:

we know that

The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces

so

$LA=6[\frac{1}{2}(b)(l)]$

where

b is the length side of the hexagon

l is the slant height of the pyramid

Part a) Find the slant height l

Applying the Pythagoras Theorem

$l^{2}=h^{2} +a^{2}$

where

h is the height of the pyramid

a is the apothem

we have

$h=3\ units$

$a=3\ units$

substitute

$l^{2}=3^{2} +3^{2}$

$l^{2}=18$

$l=3\sqrt{2}\ units$

Part b) Find the lateral area

$LA=6[\frac{1}{2}(b)(l)]$

we have

$b=6\ units$

$l=3\sqrt{2}\ units$

substitute the values

$LA=6[\frac{1}{2}(6)(3\sqrt{2})]=54\sqrt{2}\ units^{2}$

3 0

2 years ago

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