I need help with this.

Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 75.36 inches. What is t

Nesterboy [21]

The area of the circular shaped rug would be 451.931, let me explain to you how I got this calculation.

First thing you have to do is know the formula to find the area of a circle. The formula is A=pie x Rsquared, but when you look at the information provided, you dont have the radius, so you have to find it yourself.

You probably noticed that since diameter is twice the radius, the proportion between circumference and diameter is equal to π: <span>C/D = 2πR / 2R = π is the formula for the convertion of circumfrence to diameter.
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Once you find the diameter, which should be rounded to 23.98, you will need to divide it by 2 for the radius which should give you approximatly 11.99.

Finally, you do the regular formula to find area which is A=pie x Rsquared. so you do 3.14 x (11.99 x 11.99)=451.931in.

8 0

3 years ago

The function f(x) = 800(1.09)4x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equi

lbvjy [14]

Ok, make sure you put the powers correctly. I know what you mean but someone else may not. So it's step 2. This is because the 4 doesn't mean add a digit.

7 0

3 years ago

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Question 16

anastassius [24]

Step-by-step explanation:

Distance between 2 towns 360 miles showed length 3 inches

1800 miles = ? inches

360 miles = 3 inches

1 miles = 3/360 inches

1800 miles = 3/360 × 1800

= 15 inches

3 0

2 years ago

How do you round 60.95 to the nearest whole number ? What will it become

Nuetrik [128]

It will become 61
because anything above 0.5 rounds up

5 0

3 years ago

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Use the binomial expansion and approximation to find √3

belka [17]

According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.

<h3>How to approximate the value of a irrational number by binomial theorem</h3>

Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:

$(a + b)^{n} = \sum \limits_{k = 0}^{n} \left(\begin{array}{c}n\\k\end{array}\right)\cdot a^{n-k} \cdot b^{k}$ (1)

Where:

a, b - Constants of the binomial.
n - Grade of the power binomial.
k - Index of the k-th element of the power binomial.

If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:

√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

To learn more on binomial expansions: brainly.com/question/12249986

#SPJ1

8 0

1 year ago