Mr. Collins ordered 8,000 oz of stone how many tons of stone did he order?

Suppose the radius of a circle is \color{purple}{3}3start color purple, 3, end color purple. what is its circumference?either en

Vlada [557]

$\text{Consider the circle of radius 3.}\\
\\
\text{we need to find the cirumference of the circle.}\\
\\
\text{we know that the circumference of the circle of radius r is given by}\\
\\
\text{circumference}=2\pi r\\
\\
\text{so using this formula, the circumference of the given circle is}$

$\text{Circumference}=2\pi r\\
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=2\pi \times 3\\
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=6\pi
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\text{so the circumference of the circle is}=6\pi\\
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\text{and in decimals, it gives}=6\times 3.14\\
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\Rightarrow \text{circumference}=18.84$

Hence the circumference of the circle is: 6π or 18.84 units

6 0

2 years ago

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Converting 4.9 kilograms would give you 11 of which US customary system unit? A. Pounds B. Stones C. Teaspoons D. Ounces Mark fo

Usimov [2.4K]

Kilograms is a type of measurement for weight, and so the converted measure should also be weight (which leaves only oz. and lbs.)

The converting ratio of kilograms to pounds is: 1 = 2.2

The converting ratio of kilograms to ounces is: 1 = 35.274

This means that pounds, or (B) is your closest answer

hope this helps

3 0

2 years ago

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Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value. At this

lys-0071 [83]

Answer:

$120.14

Step-by-step explanation:

This question is an example of a compound percentage decrease.

To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.

1) Divide 25 by 100.

$25/100=0.25$

2) Minus 0.25 from 1.

$1-025=0.75$

3) Multiply 900 by 0.75 to the power of 7.

$900*0.75^7=120.14$

8 0

2 years ago

Which of these conditions might be true if polygons ABCD and KLMN are similar? The measures of corresponding angles of ABCD and

AlexFokin [52]

Answer: The correct option is

(A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.

Step-by-step explanation: We are given to select the correct condition that might be true if polygons ABCD and KLMN are similar.

Two polygons are said to be SIMILAR if corresponding angles are congruent and corresponding sides are proportional.

So, options (B), (C), (D) and (E) are not correct because they contradict conditions of similarity.

In option (A), we have

The measures of corresponding angles of ABCD and KLMN are equal. So, they must be congruent.

And the lengths of corresponding sides of ABCD are half those of KLMN.

So, we can write

$AB=\dfrac{1}{2}KL,~~BC=\dfrac{1}{2}LM,~~CD=\dfrac{1}{2}MN,~~AD=\dfrac{1}{2}KN\\\\\\\Rightarrow \dfrac{AB}{KL}=\dfrac{BC}{LM}=\dfrac{CD}{MN}=\dfrac{AD}{KN}=\dfrac{1}{2}.$