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patriot [66]
3 years ago
5

A rectangular field is 125 meters long and 75 meters wide. Give the length and width of another rectangular field that has the s

ame perimeter but a smaller area.
Mathematics
1 answer:
mario62 [17]3 years ago
5 0

Answer:

150 m and 50 m

Step-by-step explanation:

l= 125 m

w= 75 m

P= 2(125+75)= 400 m

A= 125*75= 9375 m²

l1= 125+25= 150 m

w1= 75-25= 50 m

A1= 150*50= 7500 m² smaller area with same perimeter

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Ede4ka [16]
The answer to your question is B
3 0
3 years ago
Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
2 years ago
Ali will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 70 and costs an additi
Aleksandr-060686 [28]

Answer: Ali would need to drive 350 miles for the two plans to cost the same.

Step-by-step explanation:

This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.

Let the cost be C.

Let the number of miles be M.

Let the initial payment be i.

Let the rate per mile driven be R.

Plan 1:

C = i+R×M

C = 70+0.60M ... equation 1

Plan 2:

C = i+R×M

C = 0+0.80M

C = 0.80M ...equation 2

Substituting equation 2 into equation 1:

0.80M = 70+0.60M

0.80-0.60M = 70

0.20M = 70

M = 70/0.20

M = 350 miles

5 0
3 years ago
I have 1 hundreds, 4 ones, 2 tens, and 1 tenths. What number am I?
DaniilM [7]
Since it reads 1 hundreds, that means 100. 4 ones mean 4 * 1, which is 4. 2 tens means 2 * 10, which is 20. Add those together and you get 124. Where it reads "1 tenth", that means 0.1
Therefore, the number is 124.1 
6 0
3 years ago
a taxi cab charges $4.25 for the first mile and$1.50 for each additional mile. what is the taxi rate for 12 miles
PtichkaEL [24]
$4.25 + $1.50 = $5.75= 2 miles
10 x $1.50 = $15.00=10 miles
10 + 2 = 12 miles
$5.75 + $15.00 = $20.75

4 0
3 years ago
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