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Naily [24]
3 years ago
7

The floor of a rectangular living room is 21 feet by 28 feet. What is the distance between

Mathematics
1 answer:
swat323 years ago
3 0

Answer:

35 feet.

Step-by-step explanation:

To find this, we will need to use the Pythagorean theorem to solve for the diagonal length. Call this diagonal length 'd'.

d² = 21² + 28²

d² = 1225

d² = 35.

Thus, the diagonal length is 35 feet.

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Need pre-cal help. Will mark best answer brainliest
OlgaM077 [116]

so, let's keep in mind that

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}

so let's make a quick table of those solutions, say A, B, C solutions with x,y,z liters of acid, with an acidity of 0.25, 0.40 and 0.60 respectively.


\bf \begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ A&x&0.25&0.25x\\ B&y&0.40&0.4y\\ C&z&0.60&0.6z\\ \cline{2-4}&\\ mixture&78&0.45&35.1 \end{array} \\\\\\ \begin{cases} x+y+z=78\\ 0.25x+0.4y+0.6z=35.1 \end{cases}


we know she's using "z" liters and those are 3 times as much as "y" liters, so z = 3y.


\bf \begin{cases} x+y+3y=78\\ x+4y=78\\[-0.5em] \hrulefill\\ 0.25x+0.4y+0.6(3y)=35.1\\ 0.25x+0.4y=1.8y=35.1\\ 0.25x+2.2y=35.1 \end{cases}\implies \begin{cases} x+4y=78\\\\ 0.25x+2.2y=35.1 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x+4y=78\implies \boxed{x}=78-4y \\\\\\ \stackrel{\textit{using substitution on the 2nd equation}}{0.25\left( \boxed{78-4y} \right)+2.2y=35.1}\implies 19.5-y+2.2y=35.1


\bf 1.2y=15.6\implies y=\cfrac{15.6}{1.2}\implies \blacktriangleright y=13 \blacktriangleleft \\\\\\ x=78-4y\implies x=78-4(13)\implies \blacktriangleright x=26 \blacktriangleleft \\\\\\ z=3y\implies z=3(13)\implies \blacktriangleright z=39 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{25\%}{26}\qquad \stackrel{40\%}{13}\qquad \stackrel{60\%}{39}~\hfill

5 0
3 years ago
The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many b
Sav [38]

Answer:

8

Step-by-step explanation:

You just gotta divide 64 by 8

4 0
3 years ago
If f (1) = 5, then (1, 5) is an ordered pair of function f . <br><br> True<br> False
makkiz [27]

Answer:

true

Step-by-step explanation:

i hope that helped you

5 0
2 years ago
Find the area of figure 1.<br><br> 8 units2<br> 14 units2<br> 10 units2<br> 12 units2
sp2606 [1]

Answer:

10 units ^2

Step-by-step explanation:

Area 1:

A = lw

   = 2 * 5 = 10

3 0
3 years ago
Read 2 more answers
Can anybody show me the steps to answering this question? 7x - 2z = 4 - xy<br> (solve for x)
Fed [463]

Answer: 2z+4/y+7

Step-by-step explanation:

We are trying to solve for x

7x-2z=4-xy

Add xy to both sides:

7x-2z+xy=-xy+4+xy= xy+7x-2z=4

Then you add 2z to both sides:

xy+7x-2z+2z=4+2z

xy+7x=2z+4

Then you factor out variable x

x(y+7)=2z+4

You divide both sides by y+7

x(y+7)/y+7= 2z+4/y+7

Which we would get x=2z+4/y+7

8 0
3 years ago
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