NEED HELP GEOMETRY ASAP

1. What is the circumference, in inches, of the circular base of the conical hat? Round to the nearest tenth.

2. You want to cover the top of the hat with fabric. What is the surface area, in square inches, that you will cover? (Do not include the base of the cone) Round to the nearest square inch.

1. The circumference of the circular base of the conical hat is 52.36 inches

2. The surface area of the cone that needs to be covered is  262 in.²

Step-by-step explanation:

Here we have that the given parameters are;

Diameter, D of circular = 20 in. = 2 × radius R, of the circle

R = 10 in.

Cut out section of cut out sector of circle = 60°

Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;

The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.

Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = = 8.33 in.

The formed cone satisfies the equation;

R² = h² + r²

Where:

h = Height of the cone

r = radius of the cone

∴ 10² = h² + 8.33²

∴ h² = 10² - 8.33² = 30.56 in.

The lateral surface area of the cone = π×r×l where l = R, we therefore have;

The lateral surface area of the cone = π×8.33×10 = = 261.8 in.² = 262 in.².

The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².

The total monthly payment of Susan is . Option (a) is correct.

Further Explanation:

Given:

The options are as follows,

(a).

(b).

(c).

(d).

Explanation:

Susan is paying per on her home in homeowners insurance annually.

The annual homeowner’s insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of

The amount Susan paying can be obtained as follows,

Monthly homeowner’s insurance premium can be obtained as follows,

The total monthly payment can be obtained as follows,

The total monthly payment of Susan is . Option (a) is correct.

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters?

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Loan Schedule

Keywords: Susan, paying, home, homeowners, insurance, annually, premium, monthly installments, mortgage, payments, total monthly payment, insurance premium, twelve monthly mortgage.