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
Help I need help A B C or D
Luda [366]
B It’s the one that makes sense
4 0
2 years ago
Brandon left at 2:10 p.m. to walk to the park. It took him 7 minutes to walk there.
pantera1 [17]

Answer:

A. 2:17 p.m.

Step-by-step explanation:

7 minuets more than 10 minuets is 17.

7 0
2 years ago
Read 2 more answers
Consider the following pair of equations:
Mariana [72]
Hellooo..
my answer is (-4,2)

8 0
3 years ago
For a horizontal demand curve
kkurt [141]

Answer:

d. both the slope and price elasticity of demand are equal to 0.

Step-by-step explanation:

In order to graph the demand curve, the quantity demanded is plotted along x-axis and the price is plotted along y-axis. An image attached below shows the horizontal demand curve.

Horizontal demand curve, as its name indicates, is a horizontal line which is parallel to x-axis. Since, the slope of any line parallel to x-axis is 0, we can conclude that the slope of Horizontal demand curve is 0.

A horizontal demand curve can be observed for a perfectly competitive market. Since, its a perfect competition, the price of a product by all competitors will be the same. In this case, if a firm decides to increase the price, he will loose his market share as no customer will buy the product at increased price. They will rather go with the other competitor who is offering a similar product at lower price.

On the other hand, if a competitor decides to lower his price in such case, he will experience loss. Therefore, the competitors do not have the option to change the price. Therefore, we can say the price elasticity of demand in this case is 0.

So, option D describes the horizontal demand curve correctly.

3 0
2 years ago
BRAINLIEST TO CORRECT HURRY
Vlad [161]

Answer:

>

Step-by-step explanation:

Ummm...

0.20 is bigger than 0

4 0
2 years ago
Other questions:
  • What is the quotient of the polynomials shown below?
    6·1 answer
  • Suppose the expected returns on equity of two firms, Macrosoft and Microsoft, that operate in the same business are 10.50% and 1
    12·1 answer
  • The ratio of the number of boys to the number of girls at school is 4:5. a. What fraction of the students are boys? b. If there
    7·2 answers
  • Find the quotient.<br> in 4/5 divide by 2/12
    15·2 answers
  • Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this
    6·1 answer
  • Plz help thank u for number 9 and 10
    6·2 answers
  • There are only red counters and blue counters in a bag. The ratio of red counters to blue counters is 5:4. There are 27 blue cou
    9·1 answer
  • Carly bought one one yard of fabric, convert the<br> measurement to centimeters.
    10·1 answer
  • How would you find the two triangles are similar?
    15·1 answer
  • Percentage of 67 of 98
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!