QUESTION: AOB is a right isosceles triangle of vertex O. [OH] is the altitude relative to [AB]. P is the symmetric of H with respect to (OA).

Prove that OHAP is a square.


×i have did half of the question i still the other half, how to proof HA=PA so i xan prove it as a rhombus then to a square.PLEASE HELP I NEEEED ITT NOWWW!​

The amount that would be covered by the Insurance Plan would be and the amount that is billed to the patient is  $ 9. 75

The amount that would be covered by the insurance plan in a 85 / 15 coinsurance plan is 85 % of the bill. The amount to be covered by the insurance plan is:

= 85% x 65

= $ 55. 25

The amount billed to the patient is:

= Total bill - covered by insurance plan

= 65 - 55 .25

= $ 9. 75

In conclusion, the amount that would be covered by the insurance plan is $ 55. 25 and the amount to be billed to the patient to be paid by them is $ 9. 75.

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Answer: first one is D 15 1/2

second one is B 11 2/8

Third one is C (already had the correct answer)

fourth answer would be A 3 2/12

Step-by-step explanation:

hope this helps

Answer: [tex]5 \text{ cm}^2[/tex]

Step-by-step explanation:

[tex]4 \times 1 \frac{1}{4}=4 \times \frac{5}{4}=5[/tex]

Therefore, the answer is [tex]5 \text{ cm}^2[/tex].

Answer:

2nd option

Step-by-step explanation:

[4    -7] * [a    b] *  = [1    0]

[-1    2]    [c    d]       [0    1]

4 * a + (-7) * c = 1

4 * b + (-7) * d = 0

-1 * a + 2 * c = 0

-1 * b + 2 * d = 1

4a - 7c = 1  ==> equation 1

4b - 7d = 0  ==> equation 2

-a + 2c = 0  ==> equation 3

-b + 2d = 1  ==> equation 4

(-b + 2d = 1) * 4  ==> make -b into -4b

   -4b + 8d = 4

+   (4b - 7d = 0)

-4b+4b + 8d-7d = 4+0  ==> add equations 2 and 4 to cancel the variable b

8d-7d = 4 ==> -4b+4b=0 and adding anything by 0 will result in itself: 0+3=3

d = 4

-b + 2d = 1

-b + 2(4) = 1  ==> substitute 4 for d

-b + 8 = 1   ==> simplify

-b = -7  ==> subtract 8 on both sides

b = 7  ==> simplify

Since we got the values of b and d, the matrix now looks like this:

[4    -7] * [a    7] *  = [1    0]

[-1    2]    [c    4]       [0    1]

Now solve for a and c using equations 1 and 3:

4a - 7c = 1  ==> equation 1

-a + 2c = 0  ==> equation 3

(-a + 2c = 0) * 4  ==> make -a into -4a

   -4a + 8c = 0

+   (4a - 7c = 1)

-4a+4a + 8c-7c = 0+1  ==> add equations 1 and 3 to cancel the variable b

8c-7c = 1 ==> -4a+4a=0 and adding anything by 0 will result in itself: 0+3=3

c = 1

-a + 2c = 0

-a + 2(1) = 0  ==> substitute 1 for c

-a + 2 = 0   ==> simplify

-a = -2  ==> subtract 2 on both sides

a = 2  ==> simplify

Since we got the values of a and c, the matrix now looks like this:

[4    -7] * [2    7] *  = [1    0]

[-1    2]    [1    4]       [0    1]

Hence, the answer is the 2nd option.

Answer:

C is irrational--6 is not a perfect square.

Answer:

2 miles

Step-by-step explanation:

Distance = speed x time

= 10mph x 1/5

= 2 miles

The equivalent expression to the given expression; 30 / 100 is; 3 / 10.

It follows from the task content that the equivalent expression to the given fraction 30 / 100 is to be determined.

Since the given expression is; 30 / 100.

It follows that the greatest common factor to the numerator and denominator is 10.

Hence, by dividing the numerator and denominator each by 10; the resulting equivalent fraction is; 3 / 10.

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Answer:

B)  x + y ≤ 30,000

     x ≥ 8,000

     x ≥ 3y

Step-by-step explanation:

Definition of the variables:

If Tamara has $30,000 and part or all of which she wants to invest into a combination of corporate bonds and municipal bonds, then the sum of the investments in the two bonds will be less than or equal to $30,000:

If Tamara wants to invest no less than $8,000 into corporate bonds, then the amount invested in corporate bonds (x) will be greater than or equal to $8,000:

If Tamara wants to invest at least three times as much into corporate bonds than into municipal bonds, then the amount invested in corporate bonds (x) will be greater than or equal to 3 times the amount invested in municipal bonds (y):

The inequality that we can write is:

x - 2.45 ≥ 4.6

And the solution is x ≥ 7.05

Here we want to write in mathematic form the following sentence:

"2.45 less than a number x is greater than or equal to 4.6 "

First, "2.45 less than a number x...."

Is written as the difference:

x - 2.45

And that is greater or equal to 4.6, then we will have an inequality, and it will be:

x - 2.45 ≥ 4.6

We can solve that for x by adding 2.45 in both sides, so we will get:

x ≥ 4.6 + 2.45

x ≥ 7.05

That is the inequality solved.

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The inequality 2.45 less than a number x is greater than or equal to 4.6 as an equation is

[tex] x \: \geqslant 6.95[/tex]

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

The question can be expressed mathematically as:

x - 2.4

[tex] \geqslant [/tex]

4.5

By solving the above inequality,

We have x

[tex] \geqslant [/tex]

4.5 + 2.5

Hence, the inequality gives us

[tex]x \: \geqslant 6.95[/tex]

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I think it is the third answer.

Because your problem says 'no more than' so it can't be the fourth one,because it has '≤' which means that the number is lower or equal.

So it is the third one.

Hope I helped you!

Therefore , the solution of the given problem of slope comes out to be

1/10 , 2/15 , 3/20 and 4/25 slopes are respectively.

steep a line is defined by its slope. The phenomenon of gradient overflow occurs in equations based on gradients. By dividing the median of the run (width difference) at two points even by rise (vertical distinction) between these very same two points, one may calculate the slope. Modeling the fixed path problem involves using an equation of the hill variety, denoted by the formula y = mx + b. The location of the line's y-intercept, when the slope is m, a = b, and also the equation are all true (0, b).

Here,

Given:

To find the slope

we have to find dx/dy is the formula for slope,

Thus ,

=> x/y = 1/10

=> x/y = 2/15

=> x/y =  3/20

=> x/y = 4/25

Therefore , the solution of the given problem of slope comes out to be

1/10 , 2/15 , 3/20 and 4/25 slopes are respectively.

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The pair of parallel lines intersected by a transversal so at least one angle is 45 degrees has an angle B'EB as 45 degrees.

In terms of geometry, parallel lines are two separate lines that never cross each other and are located in the same plane. They may be vertical or horizontal.

They are referred to be intersecting lines when two or more lines in a plane cross each other. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.

The pair of parallel lines intersected by transversal is as shown:

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Answer:

i think its done like this

Answer:

12

Step-by-step explanation:

[tex] area = \frac{1}{2} \times \: base \times \: height \\ \frac{1}{2} \times 6 \times height \: = 36 \\ height \: = \frac{36}{3} \\ = 12 \: feet[/tex]

Answer:

(a) 1/6. One out of six sides will give you the desired result.

(b) 3/6. 3 out of 6 sides will give you the desired result.

(c) 2/3. 4 out of 6 sides will give you the desired result.

The number of zeroes that the product has at the end 50 x 49 x 48 x ... x 3 x 2 x 1 will be 12.

The factor of n is given as the production of the number n, (n - 1), (n - 2)... and 1. Then the factorial of n is given as

n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1

The expression is given below.

⇒ 50 x 49 x 48 x ... x 3 x 2 x 1

⇒ 50!

Then the number of zeroes in the product at the end will be given as,

⇒ 50 / 5 + 50 / 5²

⇒ 50 / 5 + 50 / 25

⇒ 10 + 2

⇒ 12

The number of zeroes that the product has at the end 50 x 49 x 48 x ... x 3 x 2 x 1 will be 12.

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a) Before the loan is taken out and the investment is made, Karson's times' interest earned ratio is 2.63 times.

b) When the loan and the investment are made, the firm's times interest earned ratio will increase from 2.63 times to 2.87 times.

The times' interest earned ratio is the ratio that measures the company's ability to meet debt obligations using its net operating income.

The interest earned ratio is computed as the quotient of the net operating income (earnings before interest and taxes) and the interest expense.

Current net operating income = $503,000

Interest expense = $191,000

Times interest earned = 2.63 times ($503,000/$191,000)

Proposed loan = $1.15 million

Interest rate = 11%

Interest amount = $126,500 ($1,150,000 x 11%)

Additional net operating income = $408,000

New net operating income = $911,000 ($503,000 + $408,000)

New interest expense = $317,500 ($191,000 + $126,500)

Adjusted Times interest earned = 2.87 times ($911,000/$317,500)

Thus, if Karson takes the additional loan to finance the investment, its times' interest-earned ratio will increase, showing that it has the ability to settle the debt obligations.

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a. What is Karson's times' interest earned ratio before the loan is taken out and the investment is made?

b. What effect will the loan and the investment have on the firm's times interest earned ratio?

Sara's average speed for the entire race is

3.6 meters per second

The first 50 meters of the race is ran at a constant speed of 4.6 m/s.

Let's compute the time taken for this portion

distance = rate*time

time = distance/rate

time = 50/(4.6)

time = 10.869

It takes approximately 10.869 seconds to run the first 50 meters (at a constant speed of 4.6 m/s).

Add on the other time values from the other sections (10 and 23) to get 10.869+10+23 = 43.869

The entire 200 m race takes about 43.869 seconds.

So Sara's average speed over the entire race is about 200/43.869 = 4.559 which rounds to 4.6 m/s when rounding to one decimal place.

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Answer:

To solve for x in this equation, you can follow these steps:

Subtract 5 from both sides: 2/3x = -4

Multiply both sides by 3/2 to cancel out the denominator on the left side: x = -6

So the solution for x is -6

So, 2/3x + 5 = 1 becomes 2/3(-6) + 5 = -4 + 5 = 1

The point at which the perpendicular bisectors of a triangle's sides come together is known as the circumcenter of that triangle. The line's equation is x=-2.5.

The circumcenter is, in other words, the point at which the bisector of a triangle's sides coincides. P serves to indicate it (X, Y).

This intersection represents the point on the triangle's perimeter. Distance d = (a - ax)2 + (b - bx)2 is the geometry formula for distance. "d" represents the separation between a vertex and the circumference, where x = 1, 2, 3.

The junction of the perpendicular bisectors of each side of the triangle, or the lines that are perpendicular to each side's midpoint, is where the triangle's circumcenter can be located.

To determine it, we locate the intersection of the circumcenter and the first name of the triangle, which is the point at which each line intersects the other

(-4,0) B=(-4,-4) C=(-1,-4) (-1,-4) (-4, -2),

y=-2 is the perpendicular line to AB's midpoint.

The intersection of the line at (-2.5,-2) and (-5/2,-2)

where BC's midpoint is located.

The line's equation is x=-2.5.

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For the graph of the function F(x), when x goes from 0 to 1, F(x) is a negative number with large absolute value. Option D is correct.

A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.

When the value of x goes from 0 to 1 the function shifts and the value is decreased gradually, thus giving F(x) as negative number with a large absolute value.

Hence, option D is the correct answer.

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Answer:

100,000,000,000cm

Step-by-step explanation:

there are one hundred billion cm in one billion meters.

Answer:-7,-7

Step-by-step explanation:

Using the provided conditions and values, This is solved with the concept of word problem, The answer is first, second and third aircrafts have 576,512 and 864 seats.

A word problem in mathematics is a problem that is written in natural language (i.e., words) rather than in mathematical notation. It presents a real-world scenario that requires the use of mathematical concepts and skills to solve. Word problems often involve finding unknown quantities based on given information, and they can be challenging because they require students to understand the problem and translate it into mathematical equations or formulas. They are often used in primary and secondary education to help students apply their math skills to real-world situations and develop critical thinking skills.

A mathematical expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a mathematical statement or equation. Mathematical expressions can be evaluated to find a numerical value. They can also be simplified by applying the order of operations (PEMDAS) to combine like terms or to remove unnecessary parentheses. Additionally, mathematical expressions can also be used to represent the relationship between different variables.

Let x be the number of seats on the second aircraft. Then, the first aircraft has x+64 seats and the third aircraft has 2x-152 seats.

We know that the total number of seats for all three aircraft is 1900, so we can set up the following equation:

x + (x+64) + (2x-152) = 1900

Solving this equation gives us x = 512, which means the second aircraft has 512 seats. We can then use this information to find the number of seats for the other two aircraft:

First aircraft: 512 + 64 = 576 seats

Third aircraft: 2(512) - 152 = 864 seats.

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Answer:

option A

Step-by-step explanation:

The slope intercept form of a linear equation is expressed as: [tex]y=mx+b\text{ where }m\ne0[/tex]

The slope described how the y value changes as x changes. If it's positive then that means as x increases, y increases and if it's negative then that means as x increases, y decreases.

Knowing this information, there is only one reasonable option in this case. Given the equation: [tex]y=x+6[/tex], we know that it has a slope of positive one, meaning it's increasing. Given the equation: [tex]y=-\frac{3}{4}x+4[/tex], we know that it has a slope of negative three fourths, meaning it's decreasing.

The graph shown is increasing so option A is the only reasonable option in this case.

Given:

Graph them and transform as described.

1. A(1, 2), B(1, 5), C(5, 5)

Reflection: in the x-axis

2. A(4, -3), B(-1, -1), C(1,3)

Reflection: in the y-axis

3. A(2, 1), B(2, -3), C(4, -2)

Reflection: in the line y = 1

See attached for each. It should be self-explanatory.

Answer:

Question 1:

Question 2:

Question 3:

Step-by-step explanation:

Given vertices of the pre-image:

If the pre-image is reflected in the x-axis, the transformation rule is:

Therefore the vertices of the image are:

Given vertices of the pre-image:

If the pre-image is reflected in the y-axis, the transformation rule is:

Therefore the vertices of the image are:

Given vertices of the pre-image:

If the pre-image is reflected in the line y = 1, the transformation rule is:

Therefore the vertices of the image are:

Answer:

Step-by-step explanation:

You want to know the amounts invested at each rate if twice as much is invested at 4.5% as at 3.5%, and the total earnings are $1875.

Let x represent the amount invested at 3.5%. Then 2x is the amount invested at 4.5%, and the total earnings are ...

  0.035x +0.045(2x) = 1875

  0.125x = 1875 . . . . . . . . . collect terms

  x = 15000 . . . . . . . . . divide by 0.125

  2x = 30000 . . . . . . . find the other value invested

The amount deposited at 3.5% is $15,000; the amount deposited at 4.5% is $30,000.

The percentage of  mass of Cs in the sample is 25%

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. A percentage, indicates hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

To calculate the percentage of  Cs in the sample

100/400 x 100

=25%

To calculate the percentage of cesium (Cs) in the sample

300/400 x 100

=75%

Hence, 25% is the percentage of  Cs in the sample

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Answer: The summer monsoon rains are a crucial source of rainfall for India, bringing in 80% of the country's annual rainfall. These rains are essential for the country's agriculture as they provide the necessary water for crops to grow and thrive. The monsoon season typically runs from June to September, and the amount of rainfall received during this time period can greatly impact the success of the agricultural season. With the majority of the rainfall coming during this season, farmers and agricultural experts closely monitor the monsoon forecast to ensure that enough rainfall is received to support the crops. Without the summer monsoon rains, the agricultural production of the country would be greatly impacted and the livelihoods of many farmers would be at risk.

Step-by-step explanation: