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3 years ago

75,300,207 in word form

Mathematics

1 answer:

sineoko [7]3 years ago

8 0

Seventy-five million three hundred thousand two hundred seven

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The fencing of the left border costs $4 per foot, while the fencing of the lower border costs $1 per foot. (no fencing is requir

lord [1]

<span><u>Answer </u>
Left border = 8 feet
Lower border =32 feet
Area=128 〖ft〗^2

<u>Explanation </u>
The area is a right triangle.
Let us take the left border to be y feet and the lower border to be x feet
Area=1/2 yx
The cost of fencing would be 4y+x=64.
From this expression x=64-4y
Substituting this value of x in the area we have;
Area=1/2 y(64-4y)
A=32y-2y^2
To get the maximum area of the triangle the first derivative of the area would te equal to zero.
A=32y-2y^2
dA/dy=32-4y=0
4y=32
y=8
Since x=64-4y
x=64-(4×8)=32
The dimensions of the garden are 8 feet by 32 feet.
Since the garden is a right triangle,
Area=1/2×8×32
Area=128 〖ft〗^2
</span>

3 0

3 years ago

Find the produce 2 1/3 times 3 1/2

andreyandreev [35.5K]

Answer:

49/6 or 8 16/99

Step-by-step explanation:

2 1/3 *3 1/2 = (7/3*7/2)= 49/6

First convert to fraction form

then multiply across numerator to numerator and denominator to deominator

Simplify if needed

Turn to mixed fraction if needed

6 0

3 years ago

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).

lyudmila [28]

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

<h3>How to graph the dilated image?</h3>

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

7 0

2 years ago

4.67,4.98,4.34 minutes what is the standard deviation for these three songs

ValentinkaMS [17]

First compute the mean:

(4.67 + 4.98 + 4.34) / 3 = 4.66

then compute the variance:

(4.67-4.66)^2 = 0.0001
(4.98-4.66)^2 = 0.1024
(4.34-4.66)^2 = 0.1024

sum of the three = 0.2049

then take the square root:

= 0.452

the standard deviation is 0.452

8 0

4 years ago

I need to know 35-42 please

Brilliant_brown [7]

35. an open circle means there is no equal sign, and shading to the left means less then...so inequality is : x < 6

36. a closed circle means there is an equal sign, and shading to the left means less then.... x < = 9

in short...a closed circle means there is an equal sign, an open circle means there is not. if it is shaded to the left, it is less then...if it is shaded to the right, it means it is greater then.

37. x > 4
38. x > = 4
39. x < 1
40. x < = 5
41. x > = 5
42. x < 0

8 0

3 years ago