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4 years ago

How do I find the diagonal inches of the laptop if the height is 10in and the width is 24in?

2 answers:

5 0

To find the diagonal length, use Pythagorean theorem:
a^2+b^2=c^2 where c represent diagonal length
Apply the information that we had from this problem into this formula
10^2+24^2=c^2
100+576=c^2
676=c^2
Sqauare root this
√676=√c^2
c=26. As a result, the diagonal length is 26 inches. Hope it help!

Nana76 [90]4 years ago

3 0

You can use the Pythagorean theorem.

10^2+24^2=diagonal^2

Diagonal=26 inches

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Please answer fast???????????

kherson [118]

Answer:

the second one i think

Step-by-step explanation:

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3 years ago

You have 100 cm of string which can be cut in one place (or not cut at all) and then formed into a circle and a square (or just

Ne4ueva [31]

Answer:

44cm for minimum area and 0 for maximum area (circle)

Step-by-step explanation:

Let's C be the circumference of the circle and S be the circumference of the square. If we cut the string into 2 pieces the total circumferences would be the string length 100cm.

S + C = 100 or S = 100 - C

The side of square is S/4 and radius of the circle is $\frac{C}{2\pi}$

So the area of the square is

$A_S = \frac{S^2}{4^2} = \frac{S^2}{16}$

$A_C = \pi\frac{C^2}{(2\pi)^2} = \frac{C^2}{4\pi}$

Therefore the total area is

$A = A_S + A_C = \frac{S^2}{16} + \frac{C^2}{4\pi}$

We can substitute 100 - C for S

$A = \frac{(100 - C)^2}{16} + \frac{C^2}{4\pi}$

$A = \frac{100^2 - 200C + C^2}{16} + \frac{C^2}{4\pi}$

$A = 625 -12.5C + \frac{C^2}{16} + \frac{C^2}{4\pi}$

$A = 625 -12.5C + C^2(\frac{1}{16} + \frac{1}{4\pi})$

To find the maximum and minimum of this, we can take the first derivative and set that to 0

$A^{'} = -12.5 + 2C(\frac{1}{16} + \frac{1}{4\pi}) = 0$

$C(\frac{1}{8} + \frac{1}{2\pi}) = 12.5$

$C \approx 44 cm$

If we take the 2nd derivative:

$A^{''} = \frac{1}{8} + \frac{1}{2\pi} > 0$

We can see that this is positive, so our cut at 44 cm would yield the minimum area.

The maximum area would be where you not cut anything and use the total string length to use for either square or circle

if C = 100 then $A_C = \frac{C^2}{4\pi} = \frac{100^2}{4\pi} = 795.77 cm^2$

if S = 100 then $A_S = \frac{S^2}{16} = \frac{100^2}{16} = 625 cm^2$

So to yield maximum area, you should not cut at all and use the whole string to form a circle

4 0

4 years ago

On a average 7 people out of 28 ride the bus to work.What percent do not ride the bus to work?

bija089 [108]

28 - 7 = 21 (do not ride the bus)

21/28 = 75%

7 0

4 years ago

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An executive invests 29,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $2,230, how much

jeka57 [31]

Answer:

Amount invested in A (8%) = $20,000

Amount invested in B (7%) = $9,000

Step-by-step explanation:

Given:

Total amount invested = $29,000

Interest rate A = 8% = 0.08

Interest rate B = 7% = 0.07

Annual return = $2,230

Find:

Amount invested in each

Computation:

Assume;

Amount invested in A = x

Amount invested in B = 29,000 - x

So,

Interest receive from A = x × 0.08

Interest receive from A = 0.08 x

Interest receive from B = (29000 - x) × 0.07

Interest receive from B = 2,030 - 0.07 x

Annual return = Interest receive from A + Interest receive from B

2,230 = 0.08 x + 2,030 - 0.07 x

x = 20,000

Amount invested in A = $20,000

Amount invested in B = 29,000 - $20,000

Amount invested in B = $9,000

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3 years ago

How do I find this answer and what is the answer?

Ilia_Sergeevich [38]

QR = PR - PQ

QR = 13y + 25 - (8y + 5)
QR = 13y + 25 - 8y - 5
QR = 5y + 20 <==

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3 years ago

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