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1 year ago

Find the length of the third side. If necessary, round to the nearest tenth. 18 30

Mathematics

1 answer:

Mumz [18]1 year ago

4 0

Answer:

Step-by-step explanation:

$let \: the \: length \: of \: \: the \: third \: side \: = y \\ using \: pythaoras \: theorem \: \\ 30 {}^{2} = y { }^{2} + 18 {}^{2} \\ y {}^{2} = 30 {}^{2} - 18 {}^{2} \\ y {}^{2} = 900 - 324 \\ y {}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \\ lenht \: of \: the \: third \: side = 24$

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

5 0

2 years ago

Suppose you know the perimeter of n octagons arranged as shown. What would you do to find the perimeter if 1 more octagon was ad

kogti [31]

As shown in the figures given :

For Figure 1 : perimeter = 8 units [As can be seen in the figure]

For figure 2(with 2 octagons) : perimeter = 8 × 2 - 1 = 15 units [since 1 side is common ]

For figure 2(with 3 octagons) : perimeter = 8 × 3 - 2 = 22 units [since 2 sides is common ]

If one more octagon is added

then perimeter = 8 × 4 - 3 = 29 units [since 3 sides will be common ]

3 0

3 years ago

What is the slope of the line passing through the points (−3, 4) and (2, −1)?

hram777 [196]

I believe it’s D not 100% sure but yea

4 0

3 years ago

Read 2 more answers

Erin's water bottle holds 665 milliliters.dylan is carrying two water bottles.each one holds 0.35 liters.who is carrying more wa

Alexeev081 [22]

Erin is carrying more water

6 0

2 years ago

The equation y ̂=844.697x^2+3723.485x-13,650 models the annual profits of a new business, where x is the number of years since t

julsineya [31]

The answer is $37,923

y = 844.697x^2 + 3723.485x - 13,650
x - number of years
y - the annual profit

If x = 8, the annual profit y is:
y = 844.697 * 8^2 + 3723.485 * 8 - 13,650
y = 844.697 * 64 + 29,787.88 - 13,650
y = 54,060.608 + 16,137.88
y = 37,922.728 ≈ 37,923

5 0

3 years ago