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timama [110]
2 years ago
7

35 POINTS HELP PLS!!!!!!

Mathematics
1 answer:
Ronch [10]2 years ago
8 0

The factors illustrate they the sides of the rectangles are:

  • (x - 1)(x - 2)
  • (2x - 3)(x + 2)

<h3>How to get the factors?</h3>

The first equation given is x² - 3x + 2.

= x² - 3x + 2.

= x² - x - 2x + 2

= x(x - 1) - 2(x - 1)

= (x - 1)(x - 2)

Therefore, the side lengths are (x - 1) and (x - 2).

In the rectangular figure, the length and width should be the expressions above.

The second equation given is 2x² + x - 6.

= 2x² + x - 6.

= 2x² + 4x - 3x - 6

= 2x(x + 2) - 3(x + 2)

= (2x - 3)(x + 2)

Therefore, the side lengths are (2x - 3) and (x + 2).

In the rectangular figure, the length and width should be the expressions above.

Learn more about factor on:

brainly.com/question/219464

#SPJ1

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Suzanne drives 180 miles in 3 hours. What is her average speed in miles per hour?
Nana76 [90]

Answer: 180 miles x 3 hours = 540

540/2 = 270

270 is the average speed

Step-by-step explanation:

7 0
2 years ago
A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladd
Alekssandra [29.7K]

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

  • We can use ratio sine here. Let the angle of elevation be theta.

<u>In </u><u>∆</u><u> </u><u>ABC </u><u>:</u><u>-</u><u> </u>

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

<h3><u>Hence </u><u>the</u><u> </u><u>angle</u><u> of</u><u> elevation</u><u> </u><u>is </u><u>sin </u><u>-</u><u>¹</u><u> </u><u>(</u><u> </u><u>1</u><u>0</u><u>/</u><u>1</u><u>1</u><u>)</u><u>. </u><u> </u></h3>

6 0
3 years ago
What is the area of the shaded region?<br> PLEASE ANSWER AS SOON AS POSSIBKE
9966 [12]

Answer:

74

Step-by-step explanation:

6 0
3 years ago
PLLLLSSS HELP ME ASAP!
erastovalidia [21]
The answer to the first one is ' D '.
(All the angles inside a triangle have to add up to exactly 180 degrees.)

The answer to the second one is  ' C ' .
(If two sides are equal, then the sides opposite them are also equal.)
3 0
2 years ago
An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis. The company has set
jeyben [28]

The best firm for the Appliance manufacturer for the repair work is Firm 2 .

In the question ,

it is given that ,

An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis .

The acceptable range of the repair time is 50 minutes to 90 minutes.

the mean repair time for firm 1 = 74 minutes and standard deviation of 4 minutes .

the mean repair time for firm 2 = 72 minutes and standard deviation of 5.1 minutes .

the range is calculated using the formula

Range = Mean ± Standard Deviation

So , for firm 1 ,

the Range = 74 ± 4

= 74 + 4       and      74 - 4

= 78     and   70

the range for firm 2 is

= 72 ± 5.1

= 72 + 5.1      and      72 - 5.1

= 7.1        and       66.9  

The second company has a lower range and it should be preferred .

Therefore ,  The best firm for the Appliance manufacturer for the repair work is Firm 2 .

Learn more about Standard Deviation here

brainly.com/question/23611887

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8 0
9 months ago
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