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3 years ago

Ok so I found the area of a rectangle.

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Answer:

circle area = 1963.495 ft²

Step-by-step explanation:

Given

A rectangle 550 ft by 350 ft packed with circles on a rectangular grid

Find

the area of the largest circle that can be packed this way

Solution

The diameter of the circle must be a factor of both 350 and 550. We want the diameter to be the largest such factor. We can write the factors of 350 and 550 as ...

350 = 50 × 7
550 = 50 × 11

The largest factor common to both numbers is 50, so that will be the diameter of the largest circle that will fit on a square grid.

The area of a circle is commonly given by the formula ...

A = πr² . . . . . where r represents the radius of the circle.

The radius is half the diameter, so will be (50 ft)/2 = 25 ft. And the area of the circle is ...

A = π(25 ft)² = 625π ft² ≈ 1963.495 ft²

The area of one circle is about 1963.495 square feet.

_____

The total number of circles is 11×7 = 77. Their total area is 77×1963.495 ft² ≈ 151,189 ft². This is 151,189/192,400 ≈ 78.54% of the total area of the rectangle.

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PtichkaEL [24]

Y-intercept happens when x = 0
y-intercept represents if Mitch doesn't add the monthly savings, so the savings account will still remain in $175

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2 years ago

Find the value of d.

Ket [755]

First find the value or (DEA)
For this you will have to use the Pythagorean theory,
${a}^{2} + {b}^{2} = {c}^{2}$
C is mainly the hypotenuse,
Meaning you either want to find A or B,

Since the hypotenuse has two segments, both values are 10, then just add them together making it 20,

Then 16 will be A or B, in this case it will be A,

To find a you must first move A to the other side by doing the opposite,
${b}^{2} = {c}^{2} - {a}^{2}$
Now plug in the values,
${b}^{2} = {20}^{2} - {16}^{2}$
${b}^{2} = 400 - 256$
${b}^{2} = 144$
Now just find the square root of both factors,
$\sqrt{ {b}^{2} } = \sqrt{12}$
The value of (DEA) is,
$b = 12$
Now we want to find (d)
Since 12 is the value of the base, then divide it 2 to find (DE), after just repeat the whole process but with the value of hypotenuse 10 instead of 20 since we want to find the smaller triangle,
${a}^{2} = {c}^{2} - {b}^{2}$
Now plug in the value
${a}^{2} = {10}^{2} - {6}^{2}$
${a}^{2} = 100 - 36$
${a}^{2} = 64$
Now find the square root of both factors,
$\sqrt{ {a}^{2} } = \sqrt{64}$
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The value of (d) is (8)

Hope this helped
:D

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2 years ago

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miv72 [106K]

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2 years ago

Question 3

Fiesta28 [93]

Answer: y = -6x + 2

m = y_2 - y_1
/ x_2 - x_1

-10 - 8
/ 2 - (-1)

= -18/3 = -6

m (slope) = -6

y = mx + b
y = -6x +b

Find b using (-1,8)
y = -6x +b
8 = -6(-1) + b
8 = 6 + b
-6 -6
2 = b

Final answer: y = -6x + 2

To check using one of the points: (-1,8) or (2,-10)
y = -6x + 2
-10 = -6(2) + 2
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This is a true statement.

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2 years ago

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dezoksy [38]

Answer:A

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2 years ago

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