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Sphinxa [80]
3 years ago
11

Value of x??????????????​

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

x = 3.5 units

Step-by-step explanation:

Let h be the height of triangle.

\therefore \:  {h}^{2}  = (2x + 1)^{2}  -  {8}^{2}   \\   \hspace{24 pt}= 4 {x}^{2}  + 4x + 1 - 64 \\   \hspace{24 pt}= 4 {x}^{2}  + 4x   - 63 ...(1)\\  \\ by \: geometric \: mean \: property \\  {h}^{2}  = 8 \times x \\ {h}^{2}  =8x...(2) \\ from \: equations \: (1) \: and \: (2) \\ 4 {x}^{2}  + 4x   - 63 = 8x \\  \therefore \: 4 {x}^{2}  + 4x - 63 - 8x = 0 \\ \therefore \: 4 {x}^{2}   -  4x - 63 = 0 \\ \therefore \: 4 {x}^{2}   + 18x - 14x - 63 = 0 \\ \therefore \: 2x(2x + 9) - 7(2x + 9) = 0 \\ \therefore \: (2x + 9)(2x - 7) = 0 \\ \therefore \: 2x + 9 = 0 \: or \: 2x - 7 = 0 \\ \therefore \: x =  -  \frac{9}{2}  \: or \: x =  \frac{7}{2}  \\ but \: x \: can \: not \: be \:  - ve \\  \therefore \: x \neq \: -  \frac{9}{2} \\ \therefore \: x =  \frac{7}{2}  \\  \huge \red{ \boxed{  \therefore \: x = 3.5 \: units}}

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Point-Slope Form: y - 5= 3(x- 1) Standard Form: ​
Angelina_Jolie [31]

Step-by-step explanation:

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Alika [10]

Answer:

$47,520

Step-by-step explanation:

A.

the area of a polygon is/

A= perimeter X apothem /2

A=500

apothem = 10

500 = (P * 10)/2

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7 0
4 years ago
30pts
Ivan

Step-by-step explanation:

1maybe you neeeda put it in calculator cause the problem easy just got to try

5 0
3 years ago
suppose the nightly rate for a three star hotel in paris is thought to be bell-shaped and symmetrical with a mean of 160 euros a
Westkost [7]

Answer:

95.44%

Step-by-step explanation:

Mean rate (μ) = 160 euros

Standard deviation (σ) = 8 euros

For any given rate, X, the z-score is:

z=\frac{X-\mu}{\sigma}

For X = 144 euros:

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For X= 176 euros

z=\frac{176-160}{8}\\ z=2

In a standard distribution, a z-score of -2 corresponds to the 2.28th percentile, while a z-score of 2 corresponds to the 97.72th percentile.

Therefore, the percentage of hotels with rates between 144 and 176 euros is:

P=97.72-2.28\\P=95.44\%

8 0
3 years ago
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