A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone of uniform width, which is not to be entered during landing, surrounds the landing pad. The landing pad and safety zone together have a combined area of 10800 ft2, what is the uniform width (safety zone) around the landing pad?

Answers

Answer 1

Step-by-step explanation:

Let w be the uniform width of the safety zone.

We have combined area = 10,800ft².

=> Combined area = Length * Width

= (80 + 2w)(50 + 2w)ft².

Therefore (80 + 2w)(50 + 2w) = 10,800.

=> 4,000 + 260w + 4w² = 10,800

=> 4w² + 260w - 6,800 = 0

=> w² + 65w - 1,700 = 0

=> (w - 20)(w + 85) = 0

=> w = 20 or w = -85

(w = -85 is rejected as width must be positive)

Hence the uniform width is 20ft.


Related Questions

The telephone company purchased 192 yards of wire for $2,304 in January. They
plan on making a purchase of 400 yards in February. How much will the February
purchase cost?

Answers

Answer:

Step-by-step explanation:

400yd($2304/192yd)=$4800

Answer:

400 yards of wire will cost $4,800

Step-by-step explanation:

First find the cost per yard of wire by using the equation 2,304/192 which equals 12/1, which is $12 per yard of wire. Next multiply that by 400 to get $4800, which is the total February purchase cost.

In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?

Answers

Answer:

50 students voted

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.

3x=6y-3 (table of values)

Answers

Answer:

The image I put is the answer.

Step-by-step explanation:

Keon biked 78 kilometers in 3 hours. How many kilometers did he bike per hour

Answers

Answer:

26km/hr

Step-by-step explanation:

78 divided by 3 hours is equal to 26km/hr

help please, the image is attached.

Answers

Answer:

A

Step-by-step explanation:

A

17 sheniabduajxhsgdhshs

Is 4 a solution of 7 < 5x – 16

Answers

Answer:

no

Step-by-step explanation:

7 < 5*4 - 16

7 < 20-16

7 <4

Answer:

[tex] x > \frac{23}{5} [/tex]

Step-by-step explanation:

[tex]7 < 5x - 16 \\ - 5x < - 16 - 7 \\ - 5x < - 23 \\ [/tex]

[tex] \boxed{Answer:{\boxed{\green{= x > \frac{23}{5}}}}} [/tex]

(7th grade math question)

In a week Dave will spend 150 minutes on cardio exercise and 75 minutes on weights. On Monday Dave spent 30 minutes on cardio and 15 minutes on weights. What percentage of his total exercise time for a week did Dave spend exercising on Monday?

A) 20%
B) 25%
C) 10%
D) 50%

Please answer soon​

Answers

A) 20%

If this answered help you then please consider marking it as brainliest to help me level up to expert

He spent 20% of his exercise time for the week on Monday!

How I got this is by finding the total amount of time spent exercising in the week and the total amount of exercise on Monday. I found that one fifth (1/5) of his exercise time was spent on Monday, or in percentage form, 20%!

Hope this helps, if not, comment below please!!!

:L

I need to know what the difference of this expression is.

(4 - 5i) - (12 + 11i)​

Answers

Answer: -10-16i

Step-by-step explanation:

Given

(4-5i)-(12+11i)

Expand parenthesis

2-5i-12-11i

Put like terms together

(2-12)-(5i+11i)

Combine like terms

-10-16i

Hope this helps!! :)

Please let me know if you have any questions

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.

Answers

x4 you square areas.

***HURRY TIMED TEST***
***WILL MARK BRAINLEST***
If f(x) = 8x + 7 and g(x) = square root x + 2, what is (fºg)(2)?​

Answers

Answer:

[tex]8x + 7 =15 \\ gx + 2 =4 \\ [/tex]

If f(x) = 2x2 + 4 and g(x) = x - 6, determine f(-5) - g(-5).
53
-49
55
65
which one is the answer

Answers

Answer:

65

Step-by-step explanation:

f(x) = 2x² + 4

g(x) = x - 6

f(-5) = 2 * (-5)² + 4

= 50 + 4

= 54

g(-5) = - 5 - 6

= - 11

f(-5) - g(-5) = 54 + 11 = 65

Hope it will help you :)

Please anyone help anyway you can

Answers

D=2R
3.14x10=31.4
This app won't let me do short answer

Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?

Answers

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

please see the link below for more information

https://brainly.com/question/19334153?referrer=searchResults

Please help will give Brain!

Answers

Answer:

its 4 :)

Step-by-step explanation:

heyyy please give me brain i really am thankfull if you do and

also have a nice day hope this help and thank you very much.

An eye doctor charges an exam fee, plus a charge for the number of boxes of contact lenses purchased.
Lindsey had an exam and ordered 2 boxes of contact lenses for $112.97
Josh had an exam and ordered 6 boxes of contact lenses for $272.93
How much is the exam fee?

A$32.99
B$39.99
C$45.49
D$56.49

Answers

Answer:

to get the exam fee

$112•97 ÷ 2

45•49

$272•93 ÷ 3

56•49

Help please ASAP rn

Answers

Answer, population: 359 million

Answer:

Step-by-step explanation:

It went up 98 ten-tousandth, from 1950 to 1990 divide 2030, by 1990 and then multiply that answer by 98 ten-tousandth

HURRY!
What are all the possible rational solutions for x^4-3x^2+2x5=0

Answers

Answer: x = 1

x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i

x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i

x2 = 0

Step-by-step explanation:

someone plz help me plz

Answers

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

a) Find the value of 1.69 x 4.41
b) Find the value of (2.63 -0.87) - 2.076​

Answers

Answer:

7.4529

Step-by-step explanation:

1.69 x 4.41=7.4529

What is the value of 3x^2– 7x + 9 when x = 4?

Answers

Answer:

29

Step-by-step explanation:

just substitute x with 4 in the equation :)

:Harley read 10 books in January, 15 books in February, 8 books in March
and 7 books in April. What is the average number of books Harley read per
month?

Answers

Answer:

I think 10

Step-by-step explanation:

you ad up the books so you would have 10+15+8+7=40. Then you divide by 4 to get the average. So it equals 10.

HELP MATH HELP MATH math is hard pls help me and give workings too thank you so much

Answers

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Step-by-step explanation:

find the sum of x^2 + 3x and 2x^2 + 9x + 5

Answers

Answer:

[tex] 3 {x}^{2} + 12x + 5[/tex]

Step-by-step explanation:

[tex](x^2 + 3x) + (2x^2 + 9x + 5) \\ \\ = x^2 + 3x + 2x^2 + 9x + 5 \\ \\ = {x}^{2} + 2 {x}^{2} + 3x + 9x + 5 \\ \\ = 3 {x}^{2} + 12x + 5[/tex]

Please help!! Help.

Answers

Step-by-step explanation:

1. Cosine

2. Relationship is Cos = adj/hyp

3. x is 14

4. The hypotenuse of the triangle is 14cm long

Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?

Answers

Answer:

0.000725 i think :)

Step-by-step explanation:

   Divide the number by 100 (move the decimal place two places to the left).

   Multiply this new number by the percentage you want to take off.

Answer- 171.75
You multiply your original cost (229) by the percent it’s on sale for (.25) then you get $57.25. That is how much is being taken off of the original price so you would subtract 229 by 57.25 to get your answer of $171.75.

factor 8x^2+10x-3
plz explain your answer

Answers

Answer:

look I have sent you the answer of your question.

This trinomial can be factored as two binomials.

So setup two sets of parenthses.

8x² can be factored as 8x · x or 4x · 2x

and -3 can be factored as +3 · -1, -1· +3, -3 · +1, or +1 ·-3.

If the middle term in the original trinomial is even,

try pairs of even factors first if you have that option.

In this case, we have a 4x and a 2x so let's try those first.

Let's do this with all the factors of -3.

So our first possible answer could be (4x + 3)(2x - 1).

Since the product of the outer terms, -4x, plus the product of the inner, 6x,

doesn't add to our middle term, this pair doesn't work.

Now let's try (4x - 1)(2x + 3).

The product of the outer terms, 12x, plus the product of the inner, -2x,

equals the middle term in our original trinomial, this pair works.

So our answer is (4x - 1)(2x + 3).

a number p divided by 7 is less than -3​

Answers

p/7 < -3
,,,,,,,,,,,,,,,

The inequality expression is p ÷ 7 < -3.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number = p

Now,

A number p divided by 7 is less than -3​

This can be written as,

p ÷ 7 < -3

p/7 < 3

p < (7 x 3)

p < 21

Thus,

The number p is less than 21.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Please help if you can, thanks

Answers

Answer:

what does the picture say

Find the perimeter of this parallelogram:
8.2 cm
6.5 cm
Find the perimeter of this triangle:
7.3cm
6.1cm
9.6cm

Answers

Answer:

parallelogram 's perimeter =2(8.2+6.5)

""" =2×14.7

... = 29.4

perimeter of triangle=7.2+6.1+9.6

""""" =22.9

if you know what’s going on pls help thanksss

Answers

basically u are representing the graphs below in symbols and words if that makes any sence

Answer:

1. > less than

2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to

3. < greater than

4. >= less than or equal to

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