1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svp [43]
3 years ago
6

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

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

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

You might be interested in
What does 5/3 x 5 equal?
Bas_tet [7]

Answer:

5/3 x 5/1

multiple straight across

25/3

4 0
3 years ago
Read 2 more answers
Find the new amount of the original amount is 45 grams and the percent of decrease is 36%.
Semenov [28]

Answer:

28.8

Step-by-step explanation:

the original is 45=100%

it reduced by 36% meaning;100%-36%=64%

if45=100%

? =64%

45*64=2880/100=28.8

6 0
3 years ago
Okay this is my last one.. I think dfghmhgfd
Ainat [17]
<h2>○=> <u>Correct option</u> :</h2><h2>\color{plum}\tt\bold{(B)}</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

We know that :

\color{hotpink} \tt \: circumference \: of \: a \: circle\color{plum} = 2\pi r

So, let the diameter of this circle be x.

Which means :

=\tt2  \times \pi  \times r

=\tt 2 \times x \times \pi = 12\pi

=\tt 2x\pi = 12\pi

=\tt x =  \frac{12}{2}

= \tt \: x = 6 \: m

Thus, the radius of the circle Robert drew = 6 m

Since the circle in option B has a radius of 6 m, it is the circle Robert drew.

▪︎<em>Therefore, the correct option is (B)</em>

8 0
2 years ago
What is the equation of the line in slope-intercept form? plz help 20 points
AfilCa [17]

To find slope intercept form first do rise over run

rise 4 run 3

then find where it crosses the x-intercept to get

y=4/3x-3

5 0
3 years ago
I NEEEED HELP!!! please show work in answer and no blank or nonsense answers please :)
rodikova [14]

Answer:

225 pi = pi r^2 h

225 = r^2*h

225/1 = r^2

sqrt. (225) = r

r = 15

8 0
3 years ago
Other questions:
  • Write an equation in slope intercept form that goes through the point (0,-2) and has a slope of 3
    6·2 answers
  • Solve in terms of x and Y
    10·1 answer
  • Pedro buys 7.5 gallons of gas for $28.49 how much does each gallon of gas cost?
    14·1 answer
  • Martinez purchased a pair of shoes on a web site. the original price of the shoes was $75. she used a coupon code to recive 20%
    14·1 answer
  • What is the ratio of 7/8
    8·1 answer
  • HELP ME PLEASE BRAINLIEST ANSWER PLEASE HELP ME
    9·1 answer
  • CAN ANYONE PLEASE HELP ME?.......<br><br>Find P(4).<br><br>A. 1/8<br>B. 1/4<br>C. 1/2​
    11·2 answers
  • Please help I might fail!!
    10·2 answers
  • Find the product of 12 and 8. Find the greatest common factor of 12 and 8. Find the least common multiple of 12 and 8. Find the
    9·2 answers
  • 2.<br> A cube has a volume of 7 to the third cubic centimeters. What is its surface area?<br> الم
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!