The triangle shown below has an area of 25 units squared. What is the missing height?

Answer:

Step-by-step explanation:

let 7 + 3√2 be an rational number where

7+3√2 = a/b [ a and b are coprime and b is not equal to zero]

3√2= a/b-7

3√2 =( a-7b) /b

√2 = (a-7b) /3b .....(i)

Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.

Answer:

Prove by contradiction.

See below.

Step-by-step explanation:

Assume it is rational, then:

Let x = 7 + 3√2 = p/q      where p and q are integers and p/q is in simplest form.

x^2 = 49 + 42√2  + 18 = p^2/q^2

67q^2 = p^2  - 42√2q^2

67q^2 - p^2 = -42√2 q^2

67q^2 - p^2 is rational and q^2 is rational so that makes -42√2  rational.

but we know that -42√2  is irrational, so our original assumption is not true.

Answer:

Area is 14608in²

Step-by-step explanation:

this problem is based on mensuration of flat shapes, polygon

Octagon number of sides n= 8

The expression for the area of polygon given apothem and side

Is

Area= (n*s*a)/2

Given n= 8

s= 55in

a= 66.4in

Substituting our given data we have

Area = (8*55*66.4)/2

Area = 29216/2

Area = 14608in²

The area of the regular octagon is [tex]\( 14608 \)[/tex] square inches.

The area of a regular polygon can be calculated using the formula:

[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]

where [tex]\( A \)[/tex] is the area, [tex]\( a \)[/tex] is the apothem, and [tex]\( p \)[/tex] is the perimeter of the polygon.

For a regular octagon, the perimeter [tex]\( p \)[/tex] is given by:

[tex]\[ p = n \times s \][/tex]

where [tex]\( n \)[/tex] is the number of sides and [tex]\( s \)[/tex] is the length of one side. Since an octagon has 8 sides:

[tex]\[ p = 8 \times s \][/tex]

Given that [tex]\( s = 55 \)[/tex] in, we can calculate the perimeter:

[tex]\[ p = 8 \times 55 \text{ in} = 440 \text{ in} \][/tex]

Now, we can calculate the area of the regular octagon with the given apothem [tex]\( a = 66.4 \)[/tex] in and side length [tex]\( s = 55 \)[/tex] in:

[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]

[tex]\[ A = \frac{1}{2} \times 66.4 \text{ in} \times 440 \text{ in} \][/tex]

[tex]\[ A = 33.2 \text{ in} \times 440 \text{ in} \][/tex]

[tex]\[ A = 14608 \text{ in}^2 \][/tex]

where are the choices for the question?

Answer:

Only the x-value changes.

Step-by-step explanation:

When a point is reflected over the y-axis, it is the x-axis number that will flip it's sign.

When a point is reflected over the x-axis, it is the y-axis number that will flip it's sign.

~

Answer:

24.5

Step-by-step explanation:

First, I subtracted 50 from 75.

75 - 50 = 25

Then, subtract 0.5 from 25.

25 - 0.5 = 24.5

I hope this helps!

Answer:

Height x Width (length x breadth)

Step-by-step explanation:

4X3=12

Answer:

The volume of the cylinder is 432π

Step-by-step explanation:

Volume of a Cylinder is, πr²h where r = radius and h = height of the cylinder.

so, πr²h = π×6²×12 = 432π

Answered by GAUTHMATH

Answer:

A) 432

Step-by-step explanation:

Answer:

(a) (x + 3)(2x + 7) = 0

(b) These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.

Step-by-step explanation:

(a) We set 4x² -26x + 42 equal to 0:

4x² -26x + 42 = 0

Let's divide both sides by 2 to simplify this a bit:

2x² - 13x + 21 = 0

Now, we need factors a and b of 2 and c and d of 21 such that ac + bd = -13. The factors of 2 are: 1 and 2, so let's say a = 1 and b = 2. The factors of 21 are: (1, 21), (3, 7), (-1, -21), and (-3, -7). We see that if c = -7 and d = -3, this works:

ac + bd = 1 * (-7) + 2 * (-3) = -7 - 6 = -13

So, the factored form is:

(x - (-3))(2x - (-7)) = 0

(x + 3)(2x + 7) = 0

(b) So now we need to solve this. Set each of the two parenthetical expressions equal to 0:

x + 3 = 0

x = -3

AND

2x + 7 = 0

x = -7/2

These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.

Answer:

a) 2(x - 3)(2x - 7) = 0

b) function is 0 when x = 3 or 7/2

Step-by-step explanation:

4x² - 26x + 42 = 0

2(2x² - 13x + 21) = 0

2[2x² - 6x - 7x + 21] = 0

2[2x(x - 3) - 7(x - 3)] = 0

2(x - 3)(2x - 7) = 0

Solutions:.

x = 3, 7/2

Answer:

They were exposed to the same agents of weathering

Step-by-step explanation:

The given equation is y = 23.67x + 13.12, where y is the value of the stock ABC and x is the number of days. The r-value of 0.9957 indicates a strong positive correlation between the two variables, which suggests that the equation is a good fit for predicting the value of the stock.

To find the value of the stock ABC at x = 28 days, we need to substitute x = 28 into the equation and solve for y:

y = 23.67(28) + 13.12

y = 663.76 + 13.12

y = 676.88

Therefore, the predicted value of the stock ABC at x = 28 days is $676.88.

The closest answer option is D. 675.88, but the correct answer is actually slightly higher at $676.88.

We are given a linear equation y = 23.67x + 13.12, where 'x' is the number of days and 'y' is the stock value.

Now, we need to predict the stock value for 'x' equals to 28 days. To do so, we substitute x = 28 into the equation.

Start by multiplying the given value of x with the slope:
23.67 times 28 equals 662.76.

Next, add the y-intercept to the result from the first step. So you take 662.76 and you add 13.12.
The sum is 675.88.

So, according to our calculation, the ABC stock would be worth 675.88 on the 28th day.

So, the answer is

Answer: D. 675.88.

Answer:

z=6

Step-by-step explanation:

3z/2=9

3x6=18/2=9

Answer:

12 or 13

hope this helps

Answer:

13

Step-by-step explanation:

Answer:

18.85

Step-by-step explanation:

2 x π x 3

18.8496

Rounded to nearest hundredth: 18.85

Answer: A

Step-by-step explanation:

Answer:

All exponential functions try to cross the x axis but never do

Step-by-step explanation:

Answer:

4.45

Step-by-step explanation

Answer:

Step-by-step explanation:

445

First, we move the decimal 2 spaces which give us 4.45

4.45 rounded is 4.45 so that is our answer

Answer:

15 km

Step-by-step explanation:

The formula to find the hypotenuse of a right triangle

Is the square root of [tex]a^{2} +b^{2}[/tex]

a and b represent the side lengths so just plug in the side lengths for a and b

it doesn't matter which side you make a or b

square a and b

square root of 144+81

add them

[tex]\sqrt{225}[/tex]

solve

15

add your units and you're done

15 km

Answer: A

n-4(32.5) > 300;n > 430tep-by-step explanation:

given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

The minimum profit = 300 + 130 = $430

Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is

n-4(32.5) > 300;n > 430

Final answer:

The correct inequality to represent the amount Zack must be paid per room to make a profit of more than $300 is C: (n-32.5) > 300; n > 107.5. After solving the inequality, it shows that n must be greater than $107.5 per room.

Explanation:

Zack aims to make a profit of more than $300 for painting 4 identical rooms. The cost of supplies per room is $32.50, and Zack's profit is based on what he's paid minus the supplies costs. To find the minimum amount, n, he needs to be paid per room to achieve this profit, we set up an inequality where the total amount paid for all rooms minus the total cost of supplies is greater than the desired profit.

The correct inequality is:

4n - 4(32.5) > 300

When simplified, this inequality becomes:

4n > 300 + 4(32.5)

4n > 300 + 130

Now, we solve for n:

4n > 430

n > 107.5

This means each room must be paid for an amount greater than $107.5 for Zack to make his desired profit. Therefore, the correct answer is C.

Answer:

72
108

Why?
It came back as correct

Answer:

The circumference of a circle with radius length of 1 1/2 units is:  

6.2832 units.

Step-by-step explanation:

Answer:

[tex]9.42[/tex]

Step-by-step explanation:

I used the equation [tex]C=2[/tex]π[tex]r[/tex]. I hope I could help you :))

Answer:

A measure of central tendency

Step-by-step explanation:

A measure of central tendency summarizes all of the values in a data set with one number.

A measure of central tendency describes how the values in a data set vary with a single number.

the three main measure of central tendency are the mean, median, and mode, all this three are single values attributed to values of a distribution.

The mean is the average value of a distribution

while the median is the middle value of a distribution and

the mode is the most occurrence value among the distribution.

Answer:

Step-by-step explanation:

Suppose half on numbers are odd, then for each roll the probability is 1/2

So for two rolls the probability is:

Answer:

x=4, y=5

Step-by-step explanation:

2y=x+6

3x=y+7

If you subtract 6 from both sides of the first equation, x will be isolated and you can plug it into the second equation. The new first equation is 2y-6=x, which when plugged into the second equation yields:

3(2y-6)=y+7

6y-18=y+7

5y=25

y=5

x=4

Hope this helps!

Final answer:

To solve the given system of linear equations, we use substitution to express x in terms of y from one equation and substitute it into the other, giving us the solution x = 4, y = 5.

Explanation:

The solution to a system of linear equations can be found by various methods, including substitution or elimination. The given system, which appears to be:

This can be solved by using these methods. First, we will express one variable in terms of the other from one of the equcations and then substitute this into the second equation. Taking the first equation:

2y = x + 6

we can solve for x:

x = 2y - 6

Now, we substitute x in the second equation:

3(2y - 6) = y + 7

This simplifies to:

6y - 18 = y + 7

Now, let's solve for y by isolating it on one side:

6y - y = 7 + 18

5y = 25

y = 5

With the value of y, we can now substitute back into the equation x = 2y - 6 to find x:

x = 2(5) - 6

x = 10 - 6

x = 4

Therefore, the solution to the system of equations is x = 4, y = 5.

Answer:

50 + 4 + . 8/10 I think

Step-by-step explanation:

54.8

The number 'fifty-four and eight tenths' in expanded form is represented as 50 + 4 + 0.8. Each digit's place value is broken down in this representation.

The number 'fifty-four and eight tenths' is typically represented in decimal form as 54.8. In expanded form, we break down each digit's place value. Here are the steps:

When combined, the expanded form of 54.8 is 50 + 4 + 0.8.

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Answer:

its c

Step-by-step explanation:

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Answer: x =  8

Step-by-step explanation: So you have 3 sides and 3 numbers. Identify the side that has a number without a variable. (This goes for both triangles) Then you divide the 1st number by the 2nd. In this case it would be 20 or side "B" divided by 5 or side "E", which equals 4. You then take 4 and multiply it by 4 or side "D" (Because it's the only other side that does not have a variable) and you take your answer (16) and 2x or side "A", and make an equation. The equation would be : 2 * x = 16. Now solve the equation. Your answer is : x = 8.  

Answer:

B on ed!!!!

Step-by-step explanation:

(-0.86)

The residual value when x = 5 is -0.86.

Residual value is defined as the difference of the value that we predicts with that of the observed value.

It is given that,

Line of best fit is,

y = –0.7x + 2.36

Predicted value at x = 5 is,

y = -0.7 × 5 + 2.36 = -1.14

Observed value at x = 5 is y = -2

Residual value = Observed value - Predicted value

                         = -2 - -1.14

                         = -0.86

Hence the residual value is -0.86.

Learn more about Residual Values here :

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Answer:

look at this and there’s ur answer

Step-by-step explanation:

The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given system of equations,

x + 2y = 5, –x + 3y = 6

Both systems of the equation have been plotted below.

The intersection point will be a solution as  (0.6,2.2).

0 < 0.6 < 1 and 0.6 can be rounded to the nearest tenth as 0.6.

2 < 2.2 < 3 and 2.2 can be rounded to the nearest tenth as 2.2.

Hence "The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3".

To learn more about graphs,

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