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What is the perimeter of a rectangle with a length of (x^2+x) and a width of (2x^2+3x)

Mazyrski [523]

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

5 0

3 years ago

5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat

frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

Step-by-step explanation:

First determine the time it will take Daniel to reach the Boat and the jogging time

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged

lets assume Distance to swim = x ( according his sister )

determine the value of x = $\sqrt{400^2 + 1400^2 }$ therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

6 0

3 years ago

A bag has 9 marbles: 4 are green, 2 are red, and 3 are blue. Melissa chooses a marble at random, and without putting it back, ch

nika2105 [10]

Answer: pr (blue) = 1/3 or 0.33

Pr(green without replacement) = 1/2 = 0.5

Step-by-step explanation:

Probability = number of possible outcomes/ number of total outcomes

Total number of outcomes is the sum of all the marbles, given as 9

Pr ( first marble blue) = no of blue marbles/ total number of marbles

= 3/9 = 1/3 or 0.333

Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.

Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble

= 4/8 = 1/2 = 0.5

I hope this helps.

7 0

3 years ago

Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Yuliya22 [10]

–4(x + 3) ≤ –2 – 2x

>>.....-4x -12 ≤ -2 -2x

>> -12 +2 ≤ +2x

>> - 10 ≤ 2x

>> -5 ≤ x............>> x >= -5

This answer is not represented in the pictures you attached

The line starts in x = -5 and goes up to infinity

3 0

3 years ago

Read 2 more answers

Select each expression that has a value of 36 when x = 12.

pogonyaev

Answer:

Option c

Step-by-step explanation:

if x = 12

12^2 = 144

144/18 = 8

28 + 8 = 36

6 0

3 years ago