True or False: The formula to derive pi is: pi = circumference divided by radius

The floor of a birdcage is a circle with a circumference how about for 7.1 inches what is a diameter of the birdcage floor

alexdok [17]

Answer:

3.15

Step-by-step explanation:

6 0

3 years ago

Pls help me!! Worth 50 points and will give brainliest

kolbaska11 [484]

Answer:

<h2><em>A) 2 years at 3% interest = $10,617.57</em></h2>

Step-by-step explanation:

loan amount (P) = $10,000

interest is compound monthly :

A = P (1 + r/n)^n*t

find:

which of these loan terms will have the lowest total cost?

A) 2 years at 3% interest

B) 3 years at 3% interest

C) 4 years at 3% interest

D) 5 years at 3% interest

solution:

plugin the values into the formula to get the accumulated monthly interest.

<u>A. using 2 years at 3% interest</u>

A = $10,000 ( 1 + <u>0.03</u> ) ¹² ˣ ²

12

= $10,617.57

<u>B. using 3 years at 3% interest</u>

A = $10,000 ( 1 + <u>0.03</u> ) ¹² ˣ ³

12

= $10,940.51

<u>C. using 4 years at 3% interest</u>

A = $10,000 ( 1 + <u>0.03</u> ) ¹² ˣ ⁴

12

= $11.273.28

<u>D. using 5 years at 3% interest</u>

A = $10,000 ( 1 + <u>0.03</u> ) ¹² ˣ ⁵

12

= $11,616.17

therefore, based on the above terms, option A which is $10,617.57

has the lowest accumulated monthly interest. (total cost)

3 0

4 years ago

Read 2 more answers

How does the Binomial Theorem’s use Pascal’s triangle to expand binomials raised to positive integer powers?

MrMuchimi

Answer:

There are ways for quickly multiply out a binomial that's being raised by an exponent. Like

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3

and so on and so on

but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this

1 1

2 1 2 1

3 1 3 3 1

4 1 4 6 4 1

5 1 5 10 10 5 1

Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.

Hope this helps!

5 0

3 years ago

Solve the right triangle. Round to the nearest degree and nearest tenth of a unit. What is the right angleV?

N76 [4]

Answer:

m∠V ≈ 61°

Step-by-step explanation:

The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(V) = XW/XV = 7/8

The inverse sine function is used to find the angle:

V = arcsin(7/8) ≈ 61°

4 0

2 years ago

A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is

Klio2033 [76]

Answer:

<h2>The perimeter of the cross section is 30 centimeters.</h2>

Step-by-step explanation:

In this problem we have the intersection of a rectangular prism an a plane.

The dimensions of the rectangular plane are

$l=12cm\\w=6cm\\h=9cm$

Assuming the plane is cutting the prism horizontally, the cross section would have dimensions

$w=6cm\\l=9cm$

Because only the height would be cut.

So, the perimeter of the rectangle cross-section is

$P_{cross}=2(l+w)=2(6+9)=2(15)=30cm$

Therefore, the perimeter of the cross section is 30 centimeters.

3 0

3 years ago