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3 years ago

Using a calculator, find the decimal equivalent for the fraction 682999.

Mathematics

1 answer:

amm18123 years ago

4 0

682/999 = 0,6826826827 and it's $0. \overline{682}$

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Michael wants to rent a boat and spend less than $53 the boat cost six dollars per Michael wants to rent a boat and spend less t

ASHA 777 [7]

Hi hope I helped, ok so first 6×7=42 and its less than 53 so ur answer is 42

5 0

3 years ago

What is the value of n?<br> A.81<br> B.85<br> C.38<br> D.47

Liula [17]

Answer:

Step-by-step explanation:

∠ABC= 180° -142° (adj. ∠s on a str. line)

∠ABC= 38°

∠BAC= 180° -133° (adj. ∠s on a str. line)

∠BAC= 47°

∠ACB= 180° -38° -47° (∠ sum of △)

∠ACB= 95°

n°= 180° -95° (adj. ∠s on a str. line)

n°= 85°

n= 85

6 0

2 years ago

Let M = {2, 5, 7} and N = {4, 5, 8}.

levacccp [35]

C is the answer of the questions

5 0

3 years ago

A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen

Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

$A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}$

The restriction is that the perimeter have to be 12 ft at most:

$P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12$

We can express b in function of a as:

$2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a$

Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$

To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

Then, b is:

$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

3 0

3 years ago

Ursula wrote the sum 5.815 + 6.021 as a sum of two mixed numbers.

adelina 88 [10]

A. I think the sum she wrote was 5 163/200 + 6 21/1000.
B. I think the comparison of the sum of the two numbers in decimal form is 11.836, or 11 209/250 in mixed number form.

3 0

3 years ago