Make a table for the equation.

The first row is an example.

The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).

Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.

Given:

a = 3x + 5

b = x - 2

h = 2x - 5

Thus:

Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)

Area of trapezoid = 1/2(4x + 3)(2x - 5)

Area of trapezoid = 1/2(8x² - 14x - 15)

Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).

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Answer:

44.71

Step-by-step explanation:

add all the sides

for the semicircle you do 2r+pi*r

The value of x such that arc QS subtends an angle of (4x – 18)° is 49.5°.

Since QS is the diameter.

The diameter is the largest chord of a circle. It subtends an angle of 180° on the center.

So, the angle subtended by the arc QS on the center of the circle =180°

4x-18 = 180°

4x =198°

x= 49.5°

Therefore, The value of x such that arc QS subtends an angle of

(4x – 18)° is 49.5°.

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Answer: Its B

Step-by-step explanation:

Answer:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

The answer us 100 la respuesta es 100

Answer:

3/6

Step-by-step explanation:Formula for finding th height of a cone:

1/3 times base time height

[tex]\\ \rm\Rrightarrow 3(6m+4+2m)[/tex]

[tex]\\ \rm\Rrightarrow 3(8m+4)[/tex]

[tex]\\ \rm\Rrightarrow 24m+12[/tex]

Done!

Answer:

20

Step-by-step explanation:

Let the number of people be x.

Rs. 1000 is distributed equally among x people, so each person gets 1000/x.

If there were 5 people more, there would be x + 5 people.

Then, each person would get 1000/(x + 5). Each of the x + 5 people would get Rs. 10 less than before.

1000/x - 10 = 1000/(x + 5)

Multiply both sides by the LCD, x(x + 5).

x(x + 5) × 1000/x - x(x + 5) × 10 = x(x + 5) × 1000/(x + 5)

(x + 5) × 1000 - (x² + 5x) × 10 = x × 1000

1000x + 5000 - 10x² - 50x = 1000x

5000 - 10x² - 50x = 0

10x² + 50x - 5000 = 0

x² + 5x - 500 = 0

(x + 25)(x - 20) = 0

x + 25 = 0  or  x - 20 = 0

x = -25 or x = 20

The actual number of people is 20.

Check:

Rs. 1000/20 = Rs. 50

Rs. 1000 divided equally among 20 people gives Rs. 50 per person.

If there are 5 people more, then there are 25 people.

Rs. 1000/25 = Rs. 40

Rs. 1000 divided by 25 people gives Rs. 40 per person which is Rs. 10 less per person.

Our solution is correct.

Answer: 76.5 I'm assuming the question is asking for the answer of 3(2+100)/4

Step-by-step explanation:

3(2+100) would become 3x102 which is 306 and when you divide it by 4 it becomes 76.5

Answer:

3 a day.

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

See attached image

Answer:

1. 120 P

2.tuition fee + 120

Step-by-step explanation:

1. you have to multiply 24 x 5 (24 represents the weeks , while 5 is how much she saved in a week )

2.tuition fee is unknown and the money earned in week is 120 . so the total cost will be the tuition fee plus 120 , in the twenty fourth week .

Answer: 0.05 9/20 67%

Explanation: 9/20 is 0.45% which is in the middle

[tex]r(1) = (2 \: .1 \: . \frac{2}{3} )[/tex]

[tex]r(0) = (0 \: .0 \: .0)[/tex]

[tex] \gamma r =( 2 \: .1 \: . \frac{2}{3} )[/tex]

[tex]l = \sqrt{2 {}^{2} + 1 {}^{2} + \frac{4}{9} } [/tex]

[tex]l = \sqrt{4 + 1 + \frac{4}{9} } [/tex]

[tex]l = \sqrt{ \frac{36 + 9 + 4}{9} } [/tex]

[tex]l = \sqrt{ \frac{49}{9} } = \frac{7}{9} [/tex]

(I'm not sure of my answer tho)

Normally I'd see a plus sign between the x,y and z values of the r(t) equation, so im assuming these represent the x,y,z coordinates in terms of t.

So i calculated ∆r(t) and found the length of the equation using the formula for length

Answer:

13x - 2

Step-by-step explanation:

Use the distributive property to eliminate the parentheses.  1(7x - 10) -1(-6x - 8) so using the distributive property 7x - 10 + 6x + 8.  Next, combine the like terms.  13x - 2

Answer:

C

Step-by-step explanation:

C) 1.4

Answer: 18 dollars

Step-by-step explanation:

Let x be the amount of money each girl recevied. Then, in total, they received 4*x dollars.

We can set up an equation for the information given.

4x - 4*12 = 24

4x - 48 = 24

4x = 72

x = 18

Therefore, each girl received 18 dollars.

Answer:

75.6

Step-by-step explanation:

100% - 73% = 27%  

27% = 0.27

280 × 0.27 = 75.6

Answer: 18.4 inches

Step-by-step explanation:

Answer:

There is a 1/10 chance you draw an A and then D    10% chance

Step-by-step explanation:

Probablitiy of drawing a D is 1/5, If the card is not replaced, then there are only 4 cards left. Probability of drawing an A is 2/4 (1/2)

1/5 x 2/4

1 x 2 = 2         2/2 =  1

5 x 4= 20     20/2 = 10

Answer: 7 × 11 × 13 = 1001

Step-by-step explanation:

Solution: Since, the prime factors of 1001 are 7, 11, 13. Therefore, the product of prime factors = 7 × 11 × 13 = 1001.

Answer:

7 x 11 x 13

Step-by-step explanation:

               1001

             /        \

           11         91

                     /     \

                  7        13

1001 = 11 x 7 x 13

Answer:

(x - 4)(2x + 3)

Step-by-step explanation:

Given

2x² - 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant which sum to give the coefficient of the x- term.

product = 2 × - 12 = - 24 and sum = - 5

The factors are - 8 and + 3

Use these factors to split the x- term

2x² - 8x + 3x - 12 ( factor the first/second and third/fourth terms )

= 2x(x - 4) + 3(x - 4) ← factor out (x - 4) from each term

= (x - 4)(2x + 3) ← in factored form

The factors are (x - 4) and (2x + 3)

Answer:

5416.6

Step-by-step explanation:

use a calculator

Answer: company A

Step-by-step explanation: i did this on a quiz and got it right

per day : 1500 x 200 = 300,000 texts

per week = 300,000 x 7 = 2,100,000 = 2,1 x 10⁶ texts

Answer:

(-7, 14)

Step-by-step explanation:

The function f(x) is equal to the y-coordinate. The value inside of the parenthesis is the x-coordinate, so it would be -7 in this problem.