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Eduardwww [97]
3 years ago
8

The length of a rectangle is (6x2 + 3x - 2) units, and its width is (x3 - 2x + 5) units. Part A: What is the area of the rectang

le? Show your work.
Part B: Does the answer for Part A show that polynomials are closed under an operation? Justify your answer.

Part C: What is the degree and classification of the expression obtained in Part A?
Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0
<span>Part A: Area = length * width = (6x^2 + 3x - 2) * (x^3 - 2x + 5) Multiply it out and simplify.

part B: </span><span>Take the first term 6x^2 and multiply each of the term x^3, -2x & 5. Then take 3x and multiply each of the term x^3, -2x & 5. Do the same with -2. Then add like terms and simplify.</span>
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A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in o
sergeinik [125]

Answer:

The distance in one sweep is 100 cm approximately

Step-by-step explanation:

Here, we want to calculate the distance the wiper covers in one sweep

Mathematically;

we have a structure like an arc of a circle. It is the length of this arc we want to calculate.

The formula for the length of an arc is;

theta/360 * 2 * pi * r

r is the radius which in this case is 50 cm

We have ;

115/360 * 2 * 3.1412 * 50 = 100 cm approximately

4 0
3 years ago
generally people cover 110 yards in 11 seconds. express the speed in feet per second. (3 feet = 1 yard)
ivolga24 [154]
1 yd = 3 feet....so 110 yds = 3(110) = 330 ft

330 feet / 11 seconds = (330/11) = 30 feet per second
3 0
3 years ago
Are the graphs of 6 <br>y = -2x + 4 and y = 6x - 4 parallel perpendicular or neither
timurjin [86]
1st slope is -1/3. 2nd slope is 6

slope is same in parallel lines so not parallel

slopes are negative reciprocals in perpendicular lines so they aren't perpendicular

they are called oblique
4 0
3 years ago
Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a con
vagabundo [1.1K]

Answer:

44 pi centimeters cubed

Step-by-step explanation:

Since, base radius and height of cone are equal to to that of cylinder. Hence,

Volume \:  of  \: cone   \\ =  \frac{1}{3}  \times Volume \: of \: cylinder \\ =  \frac{1}{3}  \times132\pi  \\ = 44\pi \:  {cm}^{3}

4 0
3 years ago
Read 2 more answers
The first day of Sam's vacation was a Monday.
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b is your answer today because it is the right anawer

5 0
3 years ago
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