simplify 15/root75 +root 108+root 432​

Step-by-step explanation:

For example ............

Answer:

4. y=3√2 and x=36

Step-by-step explanation:

Here,

interior angle of triangle = 180°

So, 90°+45°+45°=180°

Therefore, the triangle is isosceles triangle

So,

y=3√2 (the corresponding sides of corresponding angle of isosceles triangle are equal)

Again, x^2=(3√2)^2 + (3√2)^2

or, x= √(18 + 18)

or, x=√36

or, x=6

We will see that the linear equation is:

y = 1.1*x  -13.5

b) The predicted height is 164.7cm

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, the line passes through (165, 168) and (174, 178), then the slope is:

a = (178 - 168)/(174 - 165) = 10/9 = 1.1

Then the line is:

y = 1.1*x + b

To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:

168 = 1.1*165 + b

168 -  1.1*165  = b = -13.5

The equation is:

y = 1.1*x  -13.5

Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:

y = 1.1*162 -13.5 = 164.7

The predicted height is 164.7cm

If you want to learn more about linear equations, you can read:

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Answer:

Step-by-step explanation:

See attached image.

So here, ABCD is being inscribed in a circle, so ABCD is a cyclic quadrilateral (as inscribed in a circle) also, there exists a property of cyclic quadrilateral, i.e, the sum of opposite angles of a cyclic quadrilateral is 180°, so we can just write the following equation using this :

[tex]{:\implies \quad \sf y^{\circ}+83^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=180^{\circ}-83^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=97^{\circ}}[/tex]

[tex]{:\implies \quad \boxed{\bf{y=97}}}[/tex]

The total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.

The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.

The rent of the apartment is $650 per month. The rent for the two months (first and last) is,

[tex]\rm M = 2\times 650\\\\M =1300[/tex]

This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,

[tex]\rm P=\dfrac{1300}{3}\\\\P=433.33[/tex]

They each paid $640 towards the total move-in cost of first and last month's rent and a security deposit. Therefore,

[tex]\rm P=640-433P=206.67\\\\[/tex]

Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,

[tex]\rm SD=206.67\times 3\\\\SD=620.01[/tex]

Hence, the total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.

Learn more about the monthly payment here;

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Answer:

Option C

Step-by-step explanation:

I got it right on the test

Answer:

1/3 because there are 6 numbers on a number cube and the probability of rolling a 6 or 4 is 2/6 and simplified it would be 1/3

Step-by-step explanation:

if it is right, please mark as brainliest

Answer:

9 1/6 laps

Step-by-step explanation:

1 5/6 * 5   = 11/6 *5  = 55/6 = 9 1/6

The given number 4,563 is a natural, whole, integer, and rational number.

A number is a fundamental component of mathematics. there are different types of numbers such as whole numbers, integers, natural numbers, rational and irrational numbers, etc.

Whole numbers are numbers such as 0, 1, 2, ... This is a whole number.

Natural numbers can also be counting numbers. They are the whole numbers but starting at 1, not 0.

Integers are whole numbers with negatives.  This is an integer.

Rational numbers are any numbers that can be written as a fraction.  

We can write this as 4563/1, so it is rational.

Learn more about numbers;

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The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

2x² + 8x = x² - 16

Then on simplifying, we have

       x² + 8x + 16 = 0

x² + 4x + 4x + 16 = 0

      (x + 4)(x + 4) = 0

              (x + 4)² = 0

                        x = -4

More about the factorization link is given below.

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Answer:

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

Step-by-step explanation:

check out brainly.com/question/7567074, same question, verified answer

Answer:

Joe is 16, Frank is 22

Step-by-step explanation:

To find the solution to this problem, we first divide 38 by two.

38 / 2 = 19.

Then, we subtract 6 from 19 and have 19 and 13.  Obviously, 19 is 6 more than 13 (19 - 13 = 6).  Now, we need to make sure our number on the left is always 6 more than the number on the right.  19 + 3 = 22, 13 + 3 = 16.  Since Frank is older than Joe by 6 years, we get 22 and 16 as their ages.

Step-by-step explanation with the answer:

Use the given functions to set up and simplify (f−g) & (x) . -3 x -3

Answer:

Hyperbola

Step-by-step explanation:

Sorry if incorect

Hope this helps

Answer:

C =113.04 ft

Step-by-step explanation:

[tex]C = 2\pi \: r \\ \\ \implies C =2(3.14)(18) \\ \\ \implies C =113.04 \: ft[/tex]

Answer:

A

Step-by-step explanation:

[tex] - \frac{4}{3} \times \frac{4}{1} = - \frac{1}{3} [/tex]

Hope this helps

Answer:

a=0

Step-by-step explanation:

Using the given function, it is found that:

The profit when n students are enrolled in the class is given by:

f(n) = 70n - 400.

A profit is made when f(n) > 0, hence:

70n - 400 > 0

70n > 400

n > 5.71.

6 students need to be enrolled for the instructor to make a profit.

A profit of $1,000 is made when f(n) = 1000, hence:

70n - 400 = 1000

70n = 1400.

n = 20.

20 students must be enrolled for the instructor to make a profit of $1,000 a month.

More can be learned about functions at https://brainly.com/question/25537936

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

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

Given the function:

f(n) = 70n - 400

To make a profit, f(n) > 0, hence:

70n - 400 > 0

n > 6

For a profit of $1000:

70n - 400 = 1000

n= 20

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

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Answer:

4.1

Step-by-step explanation:

it was right sooo

Answer: Use this formula

Area = (number of sides × length of one side × apothem)

Step-by-step explanation: The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Answer:

5/6

Step-by-step explanation:

thats what it is

Answer:

B: 9 outcomes

Step-by-step explanation:

you have 3 possibilites in the left pocket, and 3 in the right. Multiply the number of possibilites in each pocket to find how many total possibilites there are.

Answer:

8 mins - 5hrs - 8 mins  (all of the answers are in order btw).

Answer:

871

Step-by-step explanation:

The State Board of Education can buy 871 calculators with the available budget.

Here, we have to find out how many calculators the State Board of Education can buy,

We have to divide the total amount they have ($1,742) by the cost of each calculator ($2):

So, we get,

Number of calculators = Total amount / Cost per calculator

Number of calculators = $1,742 / $2

Number of calculators = 871

So, the State Board of Education can buy 871 calculators with the available budget.

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#SPJ3

Answer: Right angled triangle

Step-by-step explanation: Find attached in the picture

Answer:

Step-by-step explanation:

Remark

All you can really do is remove the brackets. Use FOIL

Solution

First: 3x*8x = 24^2

Outside: 2* 3x = 6x

Inside: -6*8x = - 48x

Last: -6*2 = - 12

Answer

24x^2 + 6x - 48x - 12

24x^2 - 42x - 12

Answer:

[tex]y =\dfrac{1}{2}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y =mx +b

              7x - 14y = -56

Step1 : subtract 7x from both sides

                   [tex]-14y = -7x - 56[/tex]

Step2: now divide both sides by (-14)

                         [tex]y =\dfrac{-7}{-14}x -\dfrac{56}{-14}\\\\y = \dfrac{1}{2}x+ 4[/tex]

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

7x - 14y = - 56 ( subtract 7x from both sides )

- 14y = - 7x - 56 ( divide through by - 14 )

y = [tex]\frac{-7}{-14}[/tex] x - [tex]\frac{56}{-14}[/tex]

y = [tex]\frac{1}{2}[/tex] x + 4 ← in slope- intercept form

Answer:

: L = r * θ = 15 * π/4 =

Step-by-step explanation:

Answer:

Volume of larger box: 480

Length of small box: 5

Width of small box: 4

Height of small box: 3

Volume of small box: 60

Ratio of small box to large box: 1/8