if the wheel(w) at the end of the arm is 105m from the spindle point(c) .what distance does this wheel cover in one full rotation of the arm?

Answers

Answer 1

Answer: Hello,

the length of the circomference is 2*π*radius
=2*π*105=659,7344572538565800771551104887... (m)

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HELP! a square field has an area of 479 ft squared. what is the approximate length of a side of the field? give your answer to the nearest foot. explain your answer.

Answers

An area of a square is side multiplied by side, so since 479 is the area you would square root it. that would give you 21.88606862823929, just round that up to 22 feet and you got the approximate side length! so there ya go! good luck!

Final answer:

The problem involves finding the side length of a square field given its area. The side length is found by taking the square root of the area. Rounded to the nearest foot, the side length is approximately 22 feet.

Explanation:

The subject here is Mathematics, specifically focusing on geometry. More specifically, the problem is addressing the characteristics of square fields. A square is a shape which has all sides equal in length. The area of a square is calculated by squaring the length of one side (i.e., side * side) or more visually demonstrated as side2.

Given that the area of the square is 479 square feet, you need to find the length of one side. To do this, you would take the square root of the area, because the area of a square field is side2.

Mathematically expressed, this would be:

Side length = √Area
Side length = √479

Using a calculator, you will find the square root of 479 is approximately 21.89. We are asked to give the answer to the nearest foot, so you would round 21.89 to the nearest whole number to get 22 feet. Therefore, the approximate length of a side of the field is 22 feet.

Learn more about Square root here:

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(I have a deadline in 3 hours :c ) Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $4.35 per pound, and type B coffee costs $5.40 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $780.90. How many pounds of type A coffee were used?

Answers

A=3B
4.35A+5.40B=780.95
Substitute 3B into A for the second equation:
4.35(3B)+5.40B=780.90
13.05B+5.40B=780.90
18.45B=780.90
B=42.33
Plug into equation 1:
A=3B
A=3(42.33)
A=126.98

The two equations would be:4.35a + 5.40b = 780.90and b = 3asubstitute:4.35a + 5.40(3a) = 780.90Multiply:4.35a + 16.2a = 780.90add like terms:20.55a = 780.9divide by 20.55:a = 38substitute into the other equation:b = 3(38)multiply:b = 114This means that 38 pounds of coffee were used for type A (variable a) and 114 pounds of coffee were used for type B (variable b)

Simplifying expressions-Please help!!

Answers

Answer:

6.2k

8.11w-10

10.-7m

12.6b

14.8+7x

Step-by-step explanation:

6 is 12% of what number

Answers

6 is 12% 50

Change the percentage into a decimal by dividing the percentage (12) by 100:
$(12)/(100) = 0.12$

Divide 6 by the decimal (0.12):
$6 / 0.12 = 50$

When you do these problems, just divide the part value by the percentage (converted into a decimal value, of course).
6/0.12 = 50.
So 6 is 12% of 50.
Hope that helped you.

Match each expression with its simplified form.1. a/(a^2-4)+2/(3a+6)
2.5/a+7
3.a/ab-3/b
4.6/ab+8/a
5.3a/4b^2-b/6a

Answers

$(a)/(a^2-4)+(2)/(3a+6) = (a)/((a-2)(a+2)) + (2)/(3(a+2)) = \n\n(3a)/(3(a-2)(a+2))+(2(a-2))/(3(a+2)(a-2)) = \n\n(3a+2a-4)/(3(a^2-4)) = (5a-4)/(3a^2-12)$

$(5)/(a)+7 = (5)/(a)+(7a)/(a) = (7a+5)/(a)\n\n\n(a)/(ab)-(3)/(b) = (1)/(b) -(3)/(b) = (1-3)/(b) = -(2)/(b)\n\n(6)/(ab)+(8)/(a) = (6)/(ab)+(8b)/(ab) = (6+8b)/(ab)\n\n(3a)/(4b^2) - (b)/(6a) = (9a^2)/(12ab^2) - (2b^3)/(12ab^2) = (9a^2-2b^3)/(12ab^2)$

If point A is between B and C then BA + AC = BC.

Answers

If point A is between B and C then BA + AC = BC. This is always true.

Yes, that is correct

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