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2 years ago

Find the remainder for (b3 − 5b2 − 2b + 8)⎟(b − 4).

Mathematics

1 answer:

lidiya [134]2 years ago

6 0

Sorry if I'm wrong but I think the answer is -515. There would only be a remainder if you were dividing.
Hope I helped!

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in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 l

Eddi Din [679]

Answer:

Distance between the observer and the red car is $250 Sin \frac{\pi}{3}t$

Step-by-step explanation:

Diameter of field = 500 m

Radius of field = $\frac{Diameter}{2}=\frac{500}{2}=250 m$

Let R be the radius and the speed at which the car completes race be w

So, $w=\frac{2\pi}{T}$

Car finished 5 laps in minutes = 30

Car finished 1 lap in minutes = $\frac{30}{5}=6$

So, $w=\frac{2\pi}{6}=\frac{\pi}{3}$

Refer the attached figure

Angle between car and observer = wt

So, Distance between the observer and the red car is give as A sin wt

So, Distance between the observer and the red car= $250 Sin \frac{\pi}{3}t$

5 0

2 years ago

Can I get help on 1-8 please

Svetllana [295]

Answer:

1.) 1/2x

2.) 3a

3.) <10

4.) 8/p

5.) =0

6.) =0.25

7.) x-6=4.5

8.) y/8=3.2

Step-by-step explanation:

For #1 all you have to do is add them together. For #2 it is the same thing. For #3 all you need to do is use the less then (<) symbol with a 10 behind it. For #4 quotient means to divide so all you need to do is put a division symbol between the two factors. For #5 all you have to do is substitute 1.5 for the letter A and subtract them. For #6 all the do is substitute 2.25 for b because you convert the fraction to a decimal which is 25/100 which equals .25 then you divide the two numbers. For #7 the difference mean to subtract so you put x-6 instead of the difference between x and 6, then it equals 4.5 because you convert the fraction which would be 50/100 which equals .50. For #8 all you do is flip the word quotient the a division symbol because quotient means to divide.

5 0

3 years ago

Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. (If both values are the same number,

Lina20 [59]

Answer:

<h2>Length is 17m and Breadth is also 17m</h2>

Step-by-step explanation:

The perimeter of a rectangle is expressed as 2(L+B) where;

L is the length and B is the breadth of the triangle.

P = 2(L+B)

68 = 2(L+B)

L+B = 68/2

L+B = 34

L = 34 - B ... 1

Area of the rectangle A = LB... 2

Substituting equation 1 into 2 will give;

A = (34-B)B

A = 34B-B²

To maximize the area of the triangle, dA/dB must be equal to zero i.e

dA/dB = 0

dA/dB = 34 - 2B = 0

34-2B = 0

2B = 34

Dividing both sides of the equation by 2 we will have;

B = 34/2

B = 17

Substituting B = 17 into equation 1 to get the length L

L = 34-17

L = 17m

This shows that the rectangle with maximum area is a square since L = B = 17m

The dimension of the rectangle is Length = 17m and Breadth = 17m

8 0

3 years ago

A rectangular plot of land has an area of 8/3 square miles and a length of 3/5 mile. What is the width of the plot of land?

Juli2301 [7.4K]

8/3 ÷ 3/5 =8/3 × 5/3
=40/3

7 0

3 years ago

You have 16 yellow beads, 20 red beads, and 24 orange beads to make identical bracelets. What is the greatest number of the brac

zzz [600]

Answer:

4 bracelets

Step-by-step explanation:

We have been given that you have 16 yellow beads 20 red beads and 24 orange beads to make identical bracelet. We are asked to find the greatest numbers of bracelets you can make using all the beads.

To solve our given problem, we need to find greatest common factor of 16, 20 and 24.

Factors of 16: 1, 2, 4, 8, 16.

Factors of 20: 1, 2, 4, 5, 10, 20.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

We can see that greatest common factor of 16, 20 and 24 is 4, therefore, you can make 4 bracelets using all the beads.

6 0

2 years ago