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Oliga [24]
4 years ago
10

A new Neighborhood Activity Complex is being built in Safe Harbor. The perimeter of the rectangular playing field is 486 yards.

The length of the field is 2 yards less than quadruple the width. What are the dimensions of the playing field
Mathematics
1 answer:
siniylev [52]4 years ago
6 0

Answer:

the two lengths= 194 each side

teh two widths= 49 on each side

194+194+49+49= 486

Step-by-step explanation:

486= 2l+2w

l=4w-2

486-2w=2l -divide that by 2

243-w=l

243-w=4w-2

245=5w -divide that by 5

49=w

l=4(49)-2

l=194

w=49

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If the shaded cross sections of the solids have the same area, which of the following corresponds to the value of a: the side le
Nikolay [14]

Answer:

4\sqrt{\pi}

Step-by-step explanation:

  • The cross section of a sphere is a circle with area  \pi r^2, where radius is given as 4
  • The cross section of the cube is a square with area  a^2, where a is side length of square

The circle area = the square area. Thus we have:

\pi r^2 = a^2 \\\pi(4)^2=a^2\\16\pi=a^2\\\sqrt{16\pi}=a\\ a=\sqrt{16} \sqrt{\pi} \\a=4\sqrt{\pi}

6 0
3 years ago
Read 2 more answers
Udent
vitfil [10]

Answer:

B ; C ; D

Step-by-step explanation:

Number of faces on a number cube = 6

Sample space = (1, 2, 3, 4, 5, 6)

P(1 then 0)

P(1) = 1/6 ; P(0) = 0

P(1 then 0) = 1/6 * 0 = 0

P(even number then odd number) :

P(even number) = 3/6 = 1/2

P(odd) = 3/6 = 1/2

P(even number then odd number) = 1/2 * 1/2 = 1/4

P(6 then 2) :

P(6) = 1/6 ; P(2) = 1/6 = 1/2

P(6 then 2) = 1/6 * 1/6 = 1/36

P(even number then 5) :

P(even) = 3/6 = 1/2

P(5) = 1/6

P(even number then 5) = 1/2 * 1/6 = 1/12

P(odd number then 2) :

P(odd) = 3/6 = 1/2

P(2) = 1/6

P(odd number then 2) = 1/2 * 1/6 = 1/12

7 0
3 years ago
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
Burka [1]
Area of Rectangle = length times width
lets say length = 2x-4
width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)
2x^{2}+10x-4x-20=area
Simplify:
x^{2}+6x-20=area
3 0
3 years ago
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
I am Lyosha [343]

Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (3.14 x 64) / 4

A = 200.96 / 4

A = 50.24 square yards

Hope this helps! :)

5 0
3 years ago
Help me I need help please anyone
jarptica [38.1K]

Answer:

1st,4th,5th option.

Step-by-step explanation:

Let evaluate each option.

A segment bisector is a line segment, ray, and/or line that bisects a line into two congruent parts. LM splits JK and KH into congruent parts. The first option is correct.

A perpendicular bisector is a line segment,ray and/or line that intersects a line segment,ray at a right angle. We don't have a perpendicular angle here and so that isn't a option.

M isn't a vertex of congruent angles as there is none in this figure.

The fourth and fifth option are correct. They both are on the segment bisector so they split the figure segments into two congruent parts. Since they are on the line segment and bisects it, they are considered the midpoint or middle point of the figure side.

7 0
3 years ago
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