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alexandr1967 [171]
3 years ago
10

Solve the combined inequality,

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

from 30.48 till 53.34

Step-by-step explanation:

3.81×8=30.48

3.81×14=53.34

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What is the slope of the line through (4,5) and (6,2)?
Daniel [21]

Step-by-step explanation:

<em>Given</em>

<em>points </em><em>(</em><em> </em><em>4</em><em> </em><em>,</em><em>5</em><em> </em><em>)</em><em> </em><em>and </em><em>(</em><em> </em><em>6</em><em> </em><em>,</em><em> </em><em>2</em><em>)</em>

<em>Slope </em><em>(</em><em>m) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>y2 </em><em>-</em><em> </em><em>y1</em><em>) </em><em>/</em><em> </em><em>(</em><em> </em><em>x2 </em><em>-</em><em> </em><em>x1</em><em>)</em>

<em>=</em><em> </em><em>(</em><em> </em><em>5</em><em>-</em><em>2</em><em>)</em><em>/</em><em>(</em><em>4</em><em>-</em><em>6</em><em>)</em>

<em>=</em><em>3</em><em>/</em><em>-</em><em>2</em>

<em>=</em><em> </em><em>-</em><em>3</em><em>/</em><em>2</em>

4 0
4 years ago
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil
mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast = \frac{\sqrt{(2^2 + x^2)}}{4}

The  time is taken to reach Q after reaching the coast = \frac{\sqrt{(1 + (3-x)^2)}}{4}

Total time, T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+  \frac{\sqrt{(1 + (3-x)^2)}}{4}

This has to be minimum,

\to \frac{dt}{dx} = 0

\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16  \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\

x=0.45385

6 0
3 years ago
2 to the 10 power in standard form ​
TiliK225 [7]
Basically, powering something is multiplying something by itself.

so, 2 to the power of 10 is 1024

why? because
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024

(see? I multiplied 2 10 times!)
7 0
4 years ago
A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of uniform width, equal to the area of the
frutty [35]

The length and breadth(width) of the pool are

l\approx15.7m\text{ and }b\approx7.7m

Let

l=\text{length of the side of the pool}\\b=\text{breadth of the pool side}\\w=\text{the width of the strip of deck surrounding the pool}

From the question, we can build the following relationships

l+2w=20\\b+2w=12

subtracting to eliminate w (we do not even need it!)

l-b=8\\b=l-8

we can also build another relationship from the question. Since the area of the strip equals the area of the pool:

lb+lb=2lb=20\times 12\\lb=120

We have two unknowns, l and b. Eliminate b

lb=120\\l(l-8)=120\\l^2-8l-120=0

If we solve the quadratic equation for l, we get

l=4+2\sqrt{34}\approx 15.7m

and

b=l-8\\b=(4+2\sqrt{34})-8\\b=2\sqrt{34}-4\approx7.7m

The length and breadth(width) of the pool are

l\approx15.7m\text{ and }b\approx7.7m

Learn more about area here: brainly.com/question/1447350

7 0
2 years ago
PLEASE HELP! image below
Viktor [21]

Answer:  Angle BAD

We don't see the list; it's also called angle DAB.

4 0
3 years ago
Read 2 more answers
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