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nikdorinn [45]
3 years ago
6

The distance around the wheel of a truck is 9.42 feet .what's the diameter of the wheel

Mathematics
1 answer:
kap26 [50]3 years ago
7 0
To solve this problem, you must follow the proccedure that is shown below:

 1. You need to apply the formula for calculate the perimeter of a circle, which is:

P=2πr

 P is the perimeter of the circle (P=9.42 feet).
 r is the radius of the circle.

 2. Now, you must clear the radius "r" from P=2πr, as below:

 P=2πr
 r=P/2π

 3. When you substitute the values, you obtain:

 r=P/2π
 r=9.42 feet/2π
 r=1.49 feet

 4. Now, you can calculate the diameter (D):

 D=2r
 D=2(1.49 feet)
 D=2.98 feet
<span>
 What's the diameter of the wheel?

 The answer is: </span><span>2.98 feet</span>
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James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar
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Answer:

The expressions 7x + 4 and 3x + 5 + 4x = 1 are equivalent for every value of x.

Step-by-step explanation:

Expressions - 7x + 4 and 3x + 5 + 4x = 1.

1. When x = 2, both expressions have a value of 18. Let's find out:

1st expression : 7(2) + 4 = 14+4 = 18

2nd expression : 3(2) + 5 + 4(2) = 1

or 6 + 5 + 8 - 1 = 18

Values of both the expressions is 18, hence it is correct statement.

2.The expressions are only equivalent for x = 4 and x = 6.

This is incorrect statement as we just calculated above that the expressions are equivalent for x = 2. Hence, it is incorrect.

3. The expressions have equivalent values for any value of x.

Say, x = 0, then,

7x + 4 = 7 (0) + 4 = 4 and,

3x + 5 + 4x - 1 =  3(0) + 5 + 4(0) - 1  = 5-1 = 4

The statement holds.

Let's try again for x = 12,

7x + 4 = 7(12) + 4 = 88 and,

3x + 5 + 4x - 1 =  3(12) + 5 + 4(12) - 1  = 36 + 5 + 48 -1 =  88

Let's try again for x = 13,

7x + 4 = 7(13) + 4 = 95 and,

3x + 5 + 4x - 1 =  3(13) + 5 + 4(13) - 1  = 39 + 5 + 52 -1 =  95

Clearly, it holds for every value of x, whether it is odd or even. Hence, it is correct statement.

_______________________________________________________

Trick: 7x + 4 = 0....(1) and,

3x + 5 + 4x = 1

Rearranging the terms of above expression, we get,

(3x + 4x) + (5 - 1) =0

or 7x + 4 = 0...(2)

clearly both (1) & (2) are equivalent.

_____________________________________________________

4 0
3 years ago
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