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BabaBlast [244]
2 years ago
6

the length of a rectangular yard is 4 feet more than the width. the perimeter of the yard is 208 feet. write the equation that r

epresents the perimeter of the yard. let w represent the width. solve the equation. what are the dimensions of the yard?​
Mathematics
1 answer:
ad-work [718]2 years ago
5 0

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that perimeter = 2(l + w) where l = length & w = width

So,

2(w + 4 + w) = 208

=  > 2(2w + 4) = 208

=  > 2w + 4 =  \frac{208}{2} = 104

=  > 2w = 104 - 4 = 100

=  > w =  \frac{100}{2}  = 50

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.

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Irina-Kira [14]

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The sin A expressed in ratio form is \frac{\sqrt{6} }{4}

Step-by-step explanation:

From the given right angled triangle diagram, sin A is calculated as follows;

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3 0
3 years ago
What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
Question in attachment
sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

Here S_{8} = 1530 and r = 2, thus

\frac{a_{1}(2^{8}-1)  }{2-1} = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0
3 years ago
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