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Gnom [1K]
2 years ago
13

Find the positive solution for c: 8 2 + 15 2 = c 2

Mathematics
1 answer:
Scrat [10]2 years ago
7 0

Answer:

15

Step-by-step explanation:

8² + 15² = c²

To find : Value of c

8² = 8 x 8 = 64

15² = 15 x 15 = 225

c² = 225

225 = 15 x 15 = 15²

So,

c² = 15²

c = 15

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Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).
aniked [119]
Parameterize the surface by

\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)
\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)

where (s,t)\in(0,1)\times(0,1). We have

\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s

The surface integral is then

\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds
=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)
=\dfrac{\sqrt{181}}3
7 0
3 years ago
Carey measured a city park and made a scale drawing. In real life, the soccer field is 99 meters long. It is 33 millimeters long
Leokris [45]
99/33= 3

All you need to do is divide the real soccer felid by the scale drawing. Don't let the meters and the millimeters confuse you- it will still give you the right scale even though they are different units of measure. 

1 millimeter= 3 meters

I hope this helps!
<em>~kaikers</em>


3 0
3 years ago
The ratio of credit card sales to cash sales at a store was 8:3. If the store had 144 cash sales, how many more credit card sale
Neko [114]

Answer:

There were 240 more credit card sales than cash sales.

Step-by-step explanation:

By using the ratio 8:3 I was able to determine that if there were 144 cash sales that would mean that there would be 384 credit card sales. However, the question asks "How many <u>more</u> credit card sales were there than cash sales?" Meaning that we need to find the difference. 384-144= 240.

This means that there were 240 <u>more</u> credit card sales than cash sales.

Hope this helped! If you have any questions about what I did please comment!

And if this helped please mark brainliest!

Have a great day!!

4 0
3 years ago
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velikii [3]

Step-by-step explanation:

Given binomial is: 8x^4 - 2x

in \: the \: term \: 8 {x}^{4}  \\ coefficient = 8 \\ exponent = 4 \\ \\  in \: the \: term \:  - 2x  \\ coefficient =  - 2 \\ exponent = 1

4 0
3 years ago
Which complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i)
DENIUS [597]

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i just took this test

6 0
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