Pythagorean Theorem (Radical Answers)
May 12, 8:47:08 AM
Find the length of the third side. If necessary, write in simplest radical form.
7
412
8

Answer:

Heyyyy!!

The answer is 66.9

please read the explanation... it will help... I promise

Step-by-step explanation:

Okay... Here we go...

The context mentions that the two quadrilaterals are similar... meaning their sides are proportional...

So... you basically have to find the scale factor...

(the math itself is easier than the explanation...

51/16 = 3.1875 (that is the number we multiplied the sides of quadrilateral FGHI to get quadrilateral JKLM...

so to get side JK all you have to do is multiply that scale factor by side FG... which after the use of a calculator results in 66.9 (i rounded, and used a calculator... lol)

but yeah... i hope this helps...

Answer:

n + (n + 6) = 24.

Step-by-step explanation:

Let him have n  blue marbles, then he has n + 6 other narbles.

He has a total of 24 marbles, so:

n + (n + 6) = 24.

Answer:

B) n + (n + 6) = 24, where n is the blue marbles

Step-by-step explanation:

^^

Answer:

964.

Step-by-step explanation:

The first digit after the decimal point is 6 so we round up the 3.

The simpliication of the expression is:

[tex]\frac{3 + 5x}{\sqrt{96}*x - \sqrt{x} }[/tex]

We have the expression:

[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }[/tex]

Remember two things:

[tex]\sqrt{x^2} = x\\\\\sqrt{A*B} = \sqrt{A} *\sqrt{B}[/tex]

So we can rewrite the expression as:

[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }\\\\\frac{3 + 5x}{\sqrt{96}x - \sqrt{x} }[/tex]

And we can't simplify the equation anymore than that, so we stop there.

If you want to learn more about square roots:

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Answer:

(5,4)

Step-by-step explanation:

What is the solution of two function?

The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.

How do identify the solution via graph.

We can identify the solution of a system of equations via graph by looking at where the two functions intersect.

Identifying the solution.

Looking at the graph, the two lines intersect at (5,4)

The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)

The rule is

If two lines are graphed then their solution is their intersection point .

Here both f(x) and g(x) are intersecting at

So (5,4) is solution

Option C is correct

Answer:

C: Addition then multiplication can be used to solve the problem

Step-by-step explanation:

The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%

An equation is an expression that shows the relationship between two or more numbers and variables.

The z score is given by:

z = (raw score - mean) / (standard deviation / √sample size)

Given mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages, hence, for x > 10:

z = (10 - 8.6) / (4.3 / √39) = 2.03

P(x > 10) = P(z > 2.03) = 1 - P(z < 2.03) = 1 - 0.9788 = 0.0212

The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%

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Answer:

A. .0210

Step-by-step explanation:

I'm taking the test... could be wrong though...

Expand 13 as 10 + 3.

10 = 2×5, so

13 = 2×5 + 3×1

or

13 = 2×5¹ + 3×5⁰ = 23₅

Answer:

40

Step-by-step explanation:

24 divided by 3 is 8. 8 multiplied by 5 is 40.

Answer:

[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]

Step-by-step explanation:

We are given and asked to solve the equation:

[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]

We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):

[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]

Simplify:

[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]

Expand and isolate:

[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]

Hence solve for x:

[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]

In conclusion, the solutions of the equation are x = 0 and x = 1.

An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,

Trinomial A = 3x²+5x+2

Trinomial B = 2x² + 4x + 1

Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

Learn more about Expression:

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Answer:

3.14 inches

Step-by-step explanation:

diameter=2inches radius =1

The formula for circumference of a circle with radius r is 2πr.

The formula for the area of a circle with radius r is πr²

π≈3.14

So the radius of our circle is 

6.28/2π

≈6.28/2×3.14=1

its area is πr²

≈3.14×1²=3.14

Answer:

$44,492.33

Step-by-step explanation:

Compound Interest Formula

Solving

Answer:

the person earned one summer = $3,600

We have to show the amount in fraction that Paula spent during the following semester,

they spent for tuition = $2,500 =  × 100

=0.6944 × 100

=  69.44%  

they spent for rent = $650 =   × 100

= 0.1806 × 100

= 18.06%

they spent for food = $430 =   × 100

=0.1194 × 100

= 11.94%

they Spent in tuition, rent and food = 2,500 + 650 + 430 = $3580

Now they spent in miscellaneous expenses = 3600 - 3580 = $20.00   × 100

= 0.056 × 100

= 0.56%

Answer:

7,13,31,85,247......

Step-by-step explanation:

[tex]a_n =3^n + 4[/tex]

        [tex]\sf a_1=3^1 + 4 = 3 + 4 = 7\\\\a_2 = 3^2 + 4 = 9 + 4 = 13\\\\a_3 = 3^3 + 4 = 27 + 4 = 31\\\\a_4 = 3^4 + 4 = 81 + 4 = 85\\\\a_5 = 3^5 + 4 = 243 + 4 = 247[/tex]

Answer:X=5

Y=

Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number

also here are some practice questions, ask me if you don't get them

Answer:

740

Step-by-step explanation:

10^2 = 100

So 7.4 * 10^2

= 740

Answer:

1. $109.20 2. $46.80

Step-by-step explanation:

Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.

Good luck! Hope this helps!

Following BODMAS:

Brackets → Order → Division → Multiplication → Addition → Subtraction

Given Expression:

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

[first simplify following inside the brackets]

⇒ 5 × 12 + 20 ÷ 4 × 2

[then divide following]

⇒ 5 × 12 + 5 × 2

[multiply integers]

⇒ 60 + 10

[add integers]

⇒ 70

Answer:

70

Step-by-step explanation:

Solving by BODMAS :

Given :

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

Simplifying the brackets :

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

⇒ 5 × (3 × (9 - 5)) + 20 ÷ 4 × 2

⇒ 5 × (3 × 4) + 20 ÷ 4 × 2

⇒ 5 × 12 + 20 ÷ 4 × 2

Dividing :

⇒ 5 × 12 + 20 ÷ 4 × 2

⇒ 5 × 12 + 5 × 2

Multiplying :

⇒ 5 × 12 + 5 × 2

⇒ 60 + 10

Adding :

⇒ 60 + 10

⇒ 70

If Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.

The annual homeowner's insurance premium is the insurance charge that the homeowner pays as an insurance premium annually.

The insurance premium is calculated using some set formulas determined by these factors:

Insurance premium rate = $0.37 per $100

Current insurance premium = $1,106.30

Added value to the house = $50,000

Added premium = $185 ($50,000 x $0.37/$100)

New insurance premium = $1,291.30 ($1,106.30 + $185)

Thus, if Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.

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Answer:

it's C......................

Step-by-step explanation:

i got 100% on egde

Answer:

52

x 6

300 6 x 5 tens

+12 6 x 2 ones

312

Answer:

20 cookies - $ 12

Step-by-step explanation:

6 cookies - $3.60

20 cookies - X

X = (20 · 3,60) : 6

X = $ 12

Answer:

$12

Step-by-step explanation:

let the cost of 20 cookies= y

ok!!!

since 6 cookies ---------------$3.60

20 cookies will cost--------- y

making y subject

y= 3.60×20/6

y= 72/6=$12

therefore, 6 cookies will cost $ 12