1.64÷ by what to = 0.00164

Hey ^-^ can someone please help me with this problem:

soldi70 [24.7K]

Answer: 8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2

Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

= 4 so the semicircle area is

(1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

First of all, angle ACB is a right angle ( i.e. 90 degrees).

* This is the Theorem of Thales from elementary Plane Geometry. *

so by Pythagoras

AC^2 + BC^2 = AB^2

But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

Substituting these in Pythagoras gives

AC^2 + 4^2 = 8^2 or

AC^2 = 8^2 - 4^2- = 64 - 16 = 48

Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

(1/2) b * h = (1/2) BC * AC = (1/2) 4 * (4 * sqrt(3)) = 8 sqrt(3)

We conclude the area area of the shaded part is

8 PI - 8 sqrt(3) = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx 1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

6 0

2 years ago

Whitney bought a watch for $107.50. The finance charge was $11 and she paid for it over 6 months.

Anna11 [10]

Answer:

Her proximate APR is 5.1%

Step-by-step explanation:

The formula of the APR is $APR=\frac{FC}{A}$ × $\frac{m}{12}$ × 100%, where

FC is the finance charge
A is the amount financed
m is the number of months

∵ Whitney bought a watch for $107.5

∴ A = 107.5

∵ The finance charge was $11

∴ FC = 11

∵ She paid for it over 6 months

∴ m = 6

- Substitute these values in the formula above

∵ $APR=\frac{11}{107.5}$ × $\frac{6}{12}$ × 100%

∴ APR = 5.11627907%

- Round it to the nearest tenth

∴ APR = 5.1%

Her proximate APR is 5.1%

4 0

2 years ago

The bookstore at State University purchases from a vendor sweatshirts emblazoned with the school name and logo. The vendor sells

svlad2 [7]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

7 0

2 years ago

The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers

Ulleksa [173]

$n+n+1=3n-1\\\\
2n+1=3n-1\\\\
3n-2n=1+1\\\\
n=2\\
n+1=3$

4 0

2 years ago

Read 2 more answers

What is the recursive formula for this geometric sequence?<br> -2, -16, -128, -1024,

FinnZ [79.3K]

<h3>Answer: Choice A</h3>

The first line shown in choice A is $a_1 = -2$ which means "the first term is -2"

The next line in choice A means "the nth term ( $a_n$ ) is found by multiplying the prior term ( $a_{n-1}$ ) by 8". Put another way: multiply each term by 8 to get the next term.

first term = -2

second term = 8*(first term) = 8*(-2) = -16

third term = 8*(second term) = 8*(-16) = -128

fourth term = 8*(third term) = 8*(-128) = -1024

and so on.

3 0

2 years ago

Read 2 more answers