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3 years ago

The dimensions of the rectangular pool shown below are 40 yards by 20

Mathematics

1 answer:

Maurinko [17]3 years ago

3 0

Answer:

We need to put 120 yards of fence around the pool.

Step-by-step explanation:

Given that, The length and breadth of the rectangle pool are 40 and 20 yards.

We need to put fence around the pool. The measure of the fence will be equal to the perimeter of the pool. The formula for the perimeter of the rectangle is

Here l is the length; b is the breadth.

On substituting the values, we get the perimeter of the rectangle.

Therefore, Perimeter .

So, we need to put 120 yards of fence around the pool.

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For the function f (x) = 3 (x + 7), find -1().

AlekseyPX

Given:

The function is $f(x)=3(x+7)^{\frac{1}{4}}$ .

To find:

The function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=3(x+7)^{\frac{1}{4}}$

Substitute f(x)=y.

$y=3(x+7)^{\frac{1}{4}}$

Interchange x and y.

$x=3(y+7)^{\frac{1}{4}}$

Divide both sides by 3.

$\dfrac{x}{3}=(y+7)^{\frac{1}{4}}$

Taking power 4 on both sides.

$\left(\dfrac{x}{3}\right)^4=y+7$

Subtract 7 from both sides.

$\left(\dfrac{x}{3}\right)^4-7=y$

$y=\left(\dfrac{x}{3}\right)^4-7$

Substitute $y=f^{-1}(x)$ .

$f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7$

Therefore, the correct option is C.

5 0

2 years ago

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ziro4ka [17]

I’m confused on what the question is

8 0

3 years ago

Explain how the quotient of powers was used to simplify this expression

Anna71 [15]

Answer:

See explanation

Step-by-step explanation:

Given:

5⁴/25 = 5²

25 = 5²

Then,

5⁴ / 25

= 5⁴/5²

Note:

• multiplication sign means addition in indices

• Division sign means subtraction in indices

Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers

So,

5⁴/5²

= 5^(4 - 2)

= 5^(2)

= 5²

Therefore,

5⁴ / 25 = 5²

6 0

3 years ago

271.35 rounded to the nearest whole number

zhuklara [117]

Answer:

271

Step-by-step explanation:

If the decimal in the tenths place is less than 5, the number will not be rounded.

4 0

2 years ago

the length of a rectangular garden is 5 feet longer than its width. The garden is surrounded by a 2-foot-wide sidewalk. The side

SVETLANKA909090 [29]

<span>he width is 5 feet and the length 10 feet

Let the width of the garden = W
Therefore the length = W + 5

The two sidewalks alongside the length are therefore W + 5 feet long by 2 feet wide = 2(W + 5) square feet each
The 2 sidewalks alongside the width = W feet long by 2 feet wide = 2W square feet each
In addition there are the 4 corners which are each 2 feet by 2 feet = 4 square feet each
Area of sidewalk is therefore

2 * lengths = 2 * 2(W + 5) = 4W + 20
2 * widths = 2 * 2W = 4W
4 corners = 4 * 4 = 16 square feet
But we are told that the area = 76 square feet
Therefore 4W + 20 + 4W + 16 = 76
8W + 36 = 76
8W = 40
W = 5
Therefore as the width is five feet the length is 5 + 5 = 10 feet</span><span>
</span>

7 0

3 years ago