Could the following side lengths make a right triangle?

28, 53, 45

Answer:

x=1/6

Step-by-step explanation:

3x+4=9x+3

isolate x

1=6x

1/6=x

[tex]======================================[/tex]

First, let's move all the x's to the left:

3x+4=9x+3

3x-9x+4=3

Now, move 4 to the right:

3x-9x=3-4

Combine Like Terms:

-6x=-1

Divide both sides by -6:

x=[tex]\displaystyle\frac{1}{6}[/tex]

[tex]=========================================[/tex]

[tex]\mathcal{Diamond}[/tex] ([tex]\boxed{An~Emotional~Helper}[/tex])

Answer:

12

Step-by-step explanation:

have a good day n ily :)

Answer:

x = 17.9

Step-by-step explanation:

[tex]tan40^{0} =\frac{15}{x}[/tex]

[tex]x=\frac{15}{tan40^{0} } =17.88[/tex]

rounded: 17.9

Hope this helps

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

Answer:

[tex]\frac{ \sqrt{3} }{2} [/tex]

Step-by-step explanation:

[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]

so the equation is 1 1/3 ÷ 1 2/5

simpilify it

4/3 ÷ 7/5

since its division, you want to make it multiplication to you switch the fractions around.

you get the equation 3/2 * 5/7

which is 15/14

that converted to a improper fraction is 1 1/14

answer: 1 1/14

Answer:

C

Step-by-step explanation:

this was quite the toungue twister

Answer: ≈ 4.

Step-by-step explanation: In order to solve this, you need to turn this into an addition problem.  In order to do that, we need to transform the 3 into a fraction:

3/1 + 175/349.

Solve:

3/1 + 175/349 = 3.50143266 or ≈ 4.

Have a great day! :)

Answer:

4

Step-by-step explanation:

Convert the mixed fraction into decimal form using a calculator

[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]

Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).

(2×100)+(3×1)+(4×1/10)+(3×1/1000)

200+3+0.4+0.003

203.401

Please give me brainliest

The equivalent number is, 203.403.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expanded form of an number is,

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Now, We can write the number as;

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)​

⇒ 200 + 3 + 0.4 + 0.003

⇒ 203.403

Learn more about the mathematical expression visit:

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#SPJ2

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

Answer:

14.6

Step-by-step explanation:

Answer:

1 5/32

Step-by-step explanation:

this is the answer

Answer:

The correct answer is 1 5/32

Step-by-step explanation:

First,convert both of the mixed numbers into improper fractions.Next,do the KCF method.Keep,change,and flip.First,like up 4 5/8 and 2 1/2 next to eachother with a multiplication sign in the middle.(Must be in this order!!)Next,turn the multiplication sign into a division sign.After this,change the second mixed number,and flip the denominator and the numerator.Then simply multiply the top numerators and the denominators.That is where you get you answer, Simplifying may be needed. :)

Answer:$96,054,697,990 ”C”

Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue

The income tax collection by the total population of australia will be $96,054,697,990

What is income tax?

Some amount of our income is charged by the government this amount is called as income tax.

Calculating the amount taxed from each person in the working population:

31.4% × 26450 = $8305.30 per person

The amount of tax collected from the whole population:

8305.30 × 11565470 = $96,054,697,990  

The annual tax revenue will be equal to $96,054,697,990  

To know more about income tax follow

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Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

Answer:

63 yd³

Step-by-step explanation:

1 cube = ⅓ of a yard

B = 7 cubes

H = 9 cubes

D = 3 Cubes

Volume = BHD

Volume = 3 x 9 x 7

9 x 7 = 63

63 x 3 = 189

189 x ⅓ = 63.

Answer:

the anwer is d

I did the math

Answer:

0

Step-by-step explanation:

-4, -2, 0

the 3rd number is always a 0 so if you do the sequence 78 times the 78th term will be a 0

230

[tex]We\ know\ that:[/tex]

[tex]\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.[/tex]

Formulate and substitute:

[tex]Substitute\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.into\ formula\\ F=P+prt\\ F=200+200rt[/tex]

Calculate

[tex]200\times (1+3\times 0.05)[/tex]

Calculate the product or quotient

[tex]200\times (1+0.15)[/tex]

Calculate the sum or difference

[tex]200\times 1.15[/tex]

Calculate the product or quotient

[tex]230[/tex]

I hope this helps you

:)

This being a piecewise function, trying to solve f(2), we must find which two equations we can use.

We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2

   --> f(2) = 3(2) + 1 = 7

Hope that helps!

Answer:

The base is equal to 30

And the Hight is equal to 15

Step-by-step explanation:

30 * 15 ÷2 = 225

An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,

Total Cost =  Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room

Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won

                  = 1,337,132 won

The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,

Amount left for Spending  = Total Budget - Total Cost

                                            = 2,192,896 won - 1,337,132 won

                                            = 855,764 won

Thus, the amount left with Ian to spend is 855,764 won.

Learn more about Equation:

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Answer:

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?

a.   1,337,132 won

b.   1,026,184 won

c.   855,764 won<<<CORRECT

d.   830,456 won

Step-by-step explanation:

2022 EDGE TOPIC TEST

Answer:

[tex]2m[/tex]

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

They give us the area as [tex]6m^2[/tex], so let's include it in the equation.

[tex]6 = \frac{1}{2}bh[/tex]

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that [tex]h = b-4[/tex]

So replace [tex]h[/tex] in the equation with [tex]b-4[/tex].

You will now get:

[tex]6 = \frac{1}{2}b(b-4)[/tex]

Now we can work towards solving. Let's get simplifying.

[tex]12 = b(b-4)\\12 = b^2 - 4b\\[/tex]

bring everything to one side so we can make a quadratic and factor:

[tex]0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2[/tex]

We get that [tex]b=6[/tex].

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that [tex]h = b - 4[/tex], so to find h, we just sub in our b value into that.

[tex]h = (6) - 4 = 2[/tex]

We find that [tex]h=2[/tex]

the discount will be 200 x 25% = 50

he will pay 150 for the cordless drill finally

Answer:

The states of the variables must be equal to the equations of the whole equation, There is no relative extreme in this equation, so its derivative y = 10

Step-by-step explanation:

[tex]y = 600 + 10x = f(x) = 600 + 10x[/tex]

[tex]y = 10[/tex]

Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.

In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.

Details of transactions for the month of October are given as:

Date     Transaction/amount            Details

10/1             $1,240.55                   beginning balance

10/2            $36.43                            purchase

10/10           $75.00                            payment

10/13          $131.79                             payment

10/20          $41.52                             purchase

10/22          $25.00                            purchase

Total balance at the end of October

= 1240.55+36.43-75-131.79+41.52-25

Total balance at the end of October =$1136.71

Therefore, Jessica’s adjusted balance for October is $1136.71.

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Answer: b.) 1,033.76

Step-by-step explanation: