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Ulleksa [173]
3 years ago
13

Find the value of x. Write your answer in simplest form.

Mathematics
2 answers:
motikmotik3 years ago
7 0
<h3>By using Pythagoras Theorem:-</h3>

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

<h3>Solving The Question</h3>

H²= B²+ P²

(9 \sqrt{2} ) {}^{2}  = x {}^{2}  +  {x}^{2}  \\  \\  \implies \: 81 \times 2 = 2x {}^{2}  \\  \\  \implies162 = 2x {}^{2}  \\  \\  \implies \frac{162}{2}  = x {}^{2}  \\  \\  \implies  \cancel\frac{162}{2}  = x {}^{2}  \\  \\  \implies81 =  {x}^{2}  \\  \\   \implies x =  \sqrt{81}  \\  \\   \implies \: x = 9

<h3>Hope This Helps You ❤️</h3>
Brilliant_brown [7]3 years ago
4 0

Answer:

by using Pythagoras theorm

{x}^{2}  +  {x}^{2}  =  {(9 \sqrt{2)} }^{2}  \\ 2 {x}^{2}  = 81 \times 2 \\ 2 {x}^{2}  = 162 \\  {x}^{2}  = 81 \\ x =  \sqrt{81}  \\ x = 9

Step-by-step explanation:

<h2>HOPE IT WILL HELP YOU✌✌✌✌✌</h2>
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Given N(14,4), find the z score for 9
algol13

Step-by-step explanation:

Formula:  z = (x-μ)/σ

So, plug in the numbers.

N(14,4), find the z score for 9

x is the number you're finding, so x=9

μ is the mean, so μ = 14

σ is the st. deviation, so σ=4

Plug them in, so it's z=(9-14)/4 and you'll get your answer :)

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eimsori [14]

Step-by-step explanation:

length can be find out by using the formula

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now put values

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4 years ago
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Step-by-step explanation:

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8 0
3 years ago
The builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days. Tax on building mate
erastova [34]

Answer:

$1340.49

Step-by-step explanation:

From the attached image

Subtotal Cost of Purchased Items

= (20  \times 16.69)+(2 \times 20.78)+(2  \times 15.58)+(6  \times 21.38)\\+(118  \times 6.60)+(500  \times 0.22)+(10  \times 8.44)+(1  \times 150)\\\\=\$1658

Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.

Discount = 23% of $1658 = 0.23 X 1658 =$381.34

Total (Less Discount) = 1658-381.34 = $1276.66

Tax on building materials is 5%.

Therefore:

Tax = 5% of $1276.66=0.05 X 1276.66

Tax=$63.83

Therefore, the total bill:

=$1276.66+63.83

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