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ludmilkaskok [199]

3 years ago

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the example is how you are supposed to answer, please follow it and do ALL of the things including the check. don't do the examp

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My name is Ann [436]3 years ago

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If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is <u>18.2 inches</u>

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The area of the brim is found by <u>subtracting the area of the base of the cone from the area covered by the perimeter of the brim</u>

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, <em>s</em> ≈ <u>18.2 inches</u>

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ <em>R</em> = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, <em>A</em> = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

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3 years ago

Nellie is buying bird seed to put in her bird feeders. She uses about 10 pounds of bird seed each week, but has room to store an

ololo11 [35]

11 pound for 7.92 is a better deal

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3 years ago

What is V36x4 in simplest form?

DochEvi [55]

The answer is A. 6x^2 hope this helps!

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Select the correct answer.<br> Which function is the inverse of ?

Artyom0805 [142]

<u>Answer:</u>

B. $f^{-1}(x) = \frac{x + 3}{9}$

<u>Step-by-step explanation:</u>

$let \space\ y = f(x)\\\\y = 9x -3\\$

• Now make x the subject of the equation:

$9x = y + 3\\\\x = \frac{y + 3}{9} \\$

• Replace x with f⁻¹(x) and y with x:

$f^{-1}(x) = \frac{x + 3}{9}$

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2 years ago

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If x=3<br><br> Arrange the list in an increasing order.

UkoKoshka [18]

Answer:

It is already in an increasing order

1. 4x - 8 Highest

2. 3x - 2

3. 2x + 1

4. 1x - 0 Lowest

Step-by-step explanation:

1. 56

2. 25

3. 9

4. 1

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3 years ago