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lbvjy [14]
3 years ago
8

%) 1.3.27

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

Width of field  = 50 yards

Length of Yards =  106 yards

Step-by-step explanation:

Let the width of field be x yards

given that "The length of a new rectangular playing field is 6 yards longer than double the width"

Length of Yards= 2*width of field + 6 = 2x+6 yards

perimeter of the rectangular playing field  = 312 yards

We know that perimeter of rectangle is given by 2(length + width ).

Since field is rectangular then

2(length + width ) = 312

2(x+2x+6) = 312

=> 3x+6 = 312/2 = 156

=> 3x = 156 - 6 = 150

=> x = 150/3 = 50

Thus,

Width of field is x = 50 yards

Length of Yards=  2x+6 yards = 2*50+6  yards = 106 yards

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The population of a certain species of oak tree in a national forest declines each year by one-fourth. So, after each year, only
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Answer: 25%

Step-by-step explanation: The question tells us that the population decreases by 1/4 every single year. That means, since 1/4 equals .25, the population decreases by 25% every year :)

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Which of the following three sets of lengths could be used to form a right triangle A 39,15 and 36
laila [671]

Step-by-step explanation:

To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.

We try out all the options:

39² = 1521, 15² + 36² = 1521.

12² = 144, 8² + 4² = 80.

17² = 289, 13² + 9² = 250.

Since 39² equals 15² + 36², option A is the correct answer.

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Write 0.15151515 as a fraction
leonid [27]

Answer:

5/33

Step-by-step explanation:

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3 years ago
Rosey knows that she needs a minimum of $1776 each month to pay all of her expenses. If she works 37 hours a week, with 4 weeks
solong [7]

Answer: $12 an hour

Step-by-step explanation:

Rosey works 37 hours a week and 4 weeks in a month.

Total hours are:

= 37 * 4

= 148 hours

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8 0
3 years ago
30 points
boyakko [2]

Answer:

1) The value of c is given by

c=4

2) The value of k is given by

k=-4150

Step-by-step explanation:

Given that function g is defined by g(x)=cx-3 , where c is a constant.

To find c:

Also given that value of g(x) at x=0.5 is equal to -1

ie., g(0.5)=-1

At x=0.5

g(0.5)=c(0.5)-3=-1

(0.5)c-3=-1

(0.5)c=-1+3

(0.5)c=2

c=\frac{2}{0.5}

c=\frac{2}{\tfrac{1}{2}}=2\times \frac{2}{1}

Therefore c=4

2) Given that function h is defined by h(x)=\frac{20x-k}{x+50} , where k is a constant.

To find k:

Also given that value of h(x) at x=20 is equal to 65

ie., h(20)=65

At x=20

h(20)=\frac{20(20)-k}{20+50}=65

400-k=65(70)

-k=4550-400

-k=4150

Therefore k=-4150

6 0
3 years ago
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