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Sloan [31]
3 years ago
13

1. A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once?

Mathematics
1 answer:
Crank3 years ago
8 0

Answer: #1 ).   84.8230016469 if using actual pi or 84.78 if using 3.14

#2).    113.04

Step-by-step explanation:

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The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
seropon [69]

Answer: Option B.

Step-by-step explanation:

Given the polynomial:

16x^2-36x+9

 Observe that 16x^2 and 9 are perfect squares. Then, you can rewrite the polynomial in this form:

(4x)^2-36x+(3)^2

You can identify that:

A=4\\B=3

Then, we can check if 2AB=36

 2(4x)(3)=36x\\\\24x\neq 36x\\\\2AB\neq36x

Since 2AB\neq36x, the polynomial 16x^2-36x+9 <em>IS NOT </em>a perfect square trinomial of the form A^2 - 2AB + B^2

8 0
3 years ago
Read 2 more answers
Evaluate cot870°.<br> 1. - sqrt3<br> 2. -1/sqrt3<br> 3. 1/sqrt3<br> 4. sqrt3
ivolga24 [154]

ANSWER

-\sqrt{3}

EXPLANATION

The given angle is 870°.

870°-360°-360°=150°

This means that:

870° is coterminal with 150°, hence its terminal side is in the second quadrant.

It makes an acute angle of 30° with the x-axis.

Note that cotangent is negative in the second quadrant,

Hence,

\cot(870 \degree)  =  \cot(150 \degree)  =  -  \cot(30 \degree)  =  -  \frac{1}{ \tan(30 \degree) }  =  - \sqrt{3}

The first option is correct.

3 0
3 years ago
For the annual rate of change of +70%, find the corresponding growth or Decay Factor.
omeli [17]
Hello there!
1. Okay. So 70% is positive, so it is a corresponding growth. 70% is 0.7 in decimal form. C and D are both eliminated, because that's too large. When something grows by 70%, that is less than double. 0.7 is not right either, because that's more of a decay than a growth. The only answer that makes sense id 1.70, because you are going up, and adding 1 to decimal form brings you to the decimal that when multiplied will bring you to the total. The answer is B: 1.70.

2. So, -75% is negative, so it is a decay factor. A is eliminated, because it makes no sense and B is out, because that represents growth, not decay. You lose 75% of the amount overtime compounded, but you still have 25% that remains. To find that amount, you would subtract that amount from 1 to get the decay. 1 - 0.75 is 0.25. The decay factor is 0.25. The answer is D: 0.25.
4 0
3 years ago
A triangle has height 15 in. And area 120 in2. what is length of its base
Novosadov [1.4K]
Working out is in picture

4 0
3 years ago
Read 2 more answers
7 multiplied by 5 multiplied by 2 whole over 7 multiplied by 3, the whole raised to the power of 2 multiplied by 5 to the power
alekssr [168]
1.923 * 10 ^ -35 is the answer I got, however you did not specify any formatting to the question, so others may get a completely different answer
7 0
3 years ago
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