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3 years ago

What effect does doubling the radius of a cone's base have on the cone's volume?

1 answer:

8 0

Volume of the cone:
V = 1/3 r² π h
If we double the radius:
V 1 = 1/3 ( 2 r )² π h = 4 · 1/3 r² π h
V 1 = 4 V
Answer: the volume becomes 4 times larger.

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Help if u know please

ehidna [41]

Answer:

Explanation -

6x ³ - 2x

2x ( 3x ² - 1)

7 0

3 years ago

The statemment 3+3=6 serves as a/an ___ to the conjecture that the sum of two odd numbers is an odd number.

s344n2d4d5 [400]

<span>The statement 3+3=6 serves as a disproof to the conjecture that the sum of two odd numbers is an odd number.
Odd numbers are numbers which can </span><span> NOT be divided evenly into groups of </span>two<span>.
6 can be divided by 2 (6:3=2), which means that the sum of two odd numbers is not an odd number.
</span>On the other hand, there is a statement that is always true (a theorem) about the sum of two odd numbers: <span>The sum of two consecutive odd numbers is </span>divisible<span> by 4. </span>

7 0

4 years ago

Faleye Consulting is deciding which of two computer systems to purchase. It can purchase state-of-the-art equipment (System A) f

klemol [59]

If Faleye Consulting’s WACC is 10% and both “projects” can be repeated indefinitely, the system that should be chosen is <u>System A</u>, and its EAA is <u>$2,866.91</u>.

<h3>What is the EAA of a project?</h3>

The EAA of a project is the Equivalent Annual Annuity. The EAA can be determined using the following formula.

EAA = r x NPV1 - (1 + r)-n

Where the EAA = Equivalent Annual Annuity

r = interest rate per period

n = project duration

NPV = Net present value of project

We can also compute the EAA by using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

System A System B

After-tax cost $19,000 $13,000

After-tax cash flows $6,000 $6,000

Equipment duration 6 years 3 years

WACC = 10%

Annuity factor 4.355 2.487

Present value of cash flows $26,130 $14,922 ($6,000 x 2.487)

NPV $7,130 $1,922 ($14,922 - $13,000)

EAA (an online calculator) $2,866.91 $800.966

Thus, using the EAA rule, the computer system that should be chosen is System A because it has a higher EAA than System B.

Learn more about the equivalent annual annuity at brainly.com/question/20566589

4 0

3 years ago

A ball is thrown from a height of 32 meters with an initial downward velocity of 2/ms. The ball's height h (in meters) after t s

Bumek [7]

0=65-10t-5t^2

now what you want to do is multiply a and c

-5(t^2+2t-13)

Now just find the zeros

6 0

3 years ago

Find the height of the cylinder given the surface area and one

Karolina [17]

Answer:

C 16 inches

Step-by-step explanation:

a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.

so, the surface area is the sum of the areas of both circles and the "mantle".

this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.

circle area : pi × r²

circle circumference : 2 × pi × r

rectangle area :

length × width = circle circumference × h

SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =

= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h

=> 659.4 - 50×pi = 10×pi×h

=> (659.4 - 50×pi) / (10×pi) = h = 16 inches

6 0

3 years ago