1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marishachu [46]
3 years ago
15

The polynomial 3x ^ 3 - 16x ^ 2 + 31x - 20 the area of a trapezoidal desktop . Of the bases of the x ^ 3 - 5x the height of the

trapezoid? Hins: Use long division , what is trapezoid represented by the expressions trapezoid
Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0

Answer:

Step-by-step explanation:

Given:

Area = 3x^3 - 16x^2 + 31x - 20

Base:

x^3 - 5x

Area of trapezoid, S = 1/2 × (A + B) × h

Using long division,

(2 × (3x^3 - 16x^2 + 31x - 20))/x^3 - 5x

= (6x^3 - 32x^2 + 62x - 40))/x^3 - 5x = 6 - (32x^2 - 92x + 40)/x^3 - 5x = 2S/Bh - Ah/Bh

= 2S/Bh - A/B

= (2S/B × 1/h) - A/B

Since, x^3 - 5x = B

Comparing the above,

A = 32x^2 - 92x + 40

2S/B = 6

Therefore, h = 1

You might be interested in
Explain how to use multiplication to find
Sindrei [870]

A fraction x/y is a ratio between two numbers x and y.

The ratio is preserved if both x and y are scaled up or down by the same number n.

This means you can obtain any fraction equivalent to x/y by multiplying both x and y by n, i.e. (n*x)/(n*y).

Then we have 1/4 = (2*1)/(2*4) = 2/8, for example.

5 0
3 years ago
a tea company surveyed shoppers at two different malls. shoppers were asked whether they prefer sweetened or unsweetened tea. at
FromTheMoon [43]
First, let's create the ratios of sweetened to unsweetened. To do this, you would have to subtract the number of people that preferred unsweetened from the total.
Westside mall: 15:30 or \frac{15}{30}
Eastside mall: 13:26 or \frac{13}{26}

Now, you would divide to both ratios.
15 ÷ 30 = 0.5
13 ÷ 26 = 0.5 

They have the same sum, meaning, they are the same. 

Westside Mall shoppers are just as likely to prefer unsweetened tea as Eastside Mall shoppers. 

I hope this helps!


8 0
3 years ago
Whats an equation of a line thwt passes through the points (5,2) and (3,2)
Otrada [13]
2-2=0
5-3=2

so the answer is o over 2 aka 0/2
7 0
3 years ago
Write the ratio: <br> 450<br> to <br> 200<br> as a fraction in lowest terms.
xz_007 [3.2K]

Answer:

The ratio 450 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 50 :

450 : 200 = 9 : 4

Therefore:

450 : 200 = 9 : 4

basically 9/4

Step-by-step explanation:

6 0
3 years ago
2 minutes and 45 seconds simplify so they have a common unit.
sp2606 [1]

Answer: 165 secs

Step-by-step explanation:

2 mins has 120 secs in it

120 + 45 = 165

3 0
3 years ago
Other questions:
  • Please Help!
    13·2 answers
  • The probability of a certain event occurring is 0.27. What is the probability that the event will NOT occur?
    11·2 answers
  • Alabama papas must average 80 on five test . Scores on the first four test were 81 73 84 and 76 what is the lowest score she can
    14·1 answer
  • Which angle is adjacent to angle BGC
    8·1 answer
  • WILL AWARD BRAINLIEST
    6·1 answer
  • Plssssss help me plssss
    6·1 answer
  • A woodworker wants to cut a board that is 10.016 feet long into 4 equal-length pieces. How long will each of the cut boards be?
    14·2 answers
  • 8. If you add one fifth of a number to that number itself, you get 42. What is the number?
    5·1 answer
  • If the data below are represented by a comparative bar chart, the bar representing which of these will be the tallest? Passed Fa
    15·1 answer
  • Please help my son asked me for this and I don't understand it.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!