3 squares are positioned to form a triangle. the small square is labeled 6 units, medium square is 8 units, and large square is not labeled. answer these questions about the right triangle. what is the area of the square of the leg 6? what is the area of the square of the leg 8? what is the area of the hypotenuse square? what is the length of the hypotenuse?

Answer:

10.3. and One solution

Step-by-step explanation:

I had this question, tho it might be different

Inequalities help us to compare two unequal expressions. The solution that will make the value of the function r(x) less than equal to 0 is [3,∞).

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

To find the value of x that will make the function r(x)=x-4x+9 less than or equal to 0 solve the inequality,

x - 4x + 9 ≤ 0

x - 4x ≤ -9

-3x ≤ -9

x ≥ (-9)(-3)

x ≥ 3

Hence, the solution that will make the value of the function r(x) less than equal to 0 is [3,∞).

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Answer:

It's A 48,736

Step-by-step explanation:

Answer:

48,856.11

Step-by-step explanation:

Compound interest is generally written as: [tex]A=P(1+\frac{r}{n})^{nt}[/tex] where P = principle amount, r = interest rate, n=compound periods, t = time. This is compounded continuously which can be defined as: [tex]A=Pe^{rt}[/tex]. If you're confused what e is, one of the definitions, is [tex]\lim_{x\to\infty}{(1+\frac{1}{x})^x[/tex]. This is essentially the very definition of continuous compound. It's when the amount of compounds (n in the equation) goes towards infinity. So using the previous defined equation simply plug the values into the equation.

[tex]A=(40000)e^{0.025*8}[/tex]

Multiply inside the exponent

[tex]A=(40000)*e^{0.2}[/tex]

raise e to the power of 0.2

[tex]A\approx40000*1.221[/tex]

Multiply

[tex]A=48,856.11[/tex]

The greatest common factor will be (x² – xy + y²).

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

x^3+^3 and x^2 - xy + y^2

Expand x^3+y^3

x^3+y^3 =(x + y)(x² – xy + y²).

Since (x² – xy + y²) is common to both expression, hence the greatest common factor will be (x² – xy + y²).

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Answer:

9.00,9.20,9.30

Step-by-step explanation:

Answer:

Formulae is Future value, see in picture I've done example 1 for u.

The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]

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

Complex number is in the form z = a + bi, where a, b are real numbers.

Given the complex number z = 1 + 3i

In polar form: r = √(1² + 3²) = 3.16

Ф = tan⁻¹ (3/1) = 71.57⁰

The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]

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Answer: 7 and 17

Step-by-step explanation:

Since the area of a rectangle is the product of the two sides, the product of these two numbers must be 119.

The factors pairs of 119 are 1 and 119, and 7 and 17.

x+7 and x-3 have a difference of 10. The difference of 7 and 17 is also 10. Hope this helped!

In the future, please take a less blurry photo because I had to guess the part where I think it said x-3.

Answer:

260 cm^2

Step-by-step explanation:

The area of a parallelogram is calculated by multiplying its height and base:

The base for this parallelogram is given as 20 and the height is 13

13*20 = 260

The area is stated in square units so the answer is 260 cm^2

Answer:

_ t&byds

ty grk gtrwwfh

The category in the pie chart that was chosen by 1/8 of those that were surveyed is documentary.

From the pie chart, it can be seen that comedy and drama have the highest fraction as they have 1/4 each.

Therefore, the percentage of those who choose comedy or drama will be:

= (1/4 + 1/4) × 100

= 2/4 × 100

= 50%

Lastly, if 24% chose news, the others that choose others will be:

= 1/3 × 24

= 8%

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Answer:

3.2 km

Step-by-step explanation:

4cm÷5km=0.8 per cm to km

4km×0.8 km=3.2 km represents

Answer:

3.2 km

Step-by-step explanation:

[tex]\frac{4}{5} =\frac{x}{4}[/tex]

[tex]x=\frac{(4)(4)}{5} =\frac{16}{5} =3.2[/tex]

Hope this helps

The equation which accurately solves for the integers is; 5n = 2(2n +3) +1.

It follows from the task content that the first number is represented by n.

On this note, it follows that the second, and third numbers are; (n+1) and (n+2) respectively.

On this note, since five times the first number is equal to one more than twice the sum of the second and third numbers; we have;

5n = 2(n+1+n+2) +1

5n = 2(2n+3)+1.

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Answer: The graph of G(x) is the graph of F(x) compressed vertically.

Step-by-step explanation:

See attached image.

Answer:

60(5) = 300 :D

Step-by-step explanation:

First lets make the equation :)

Orders 60 roses

This week will order 5x as many as last week

60 x 5 OR 60(5)

60(5) = 300 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

The Compositions of Reflections Over Intersecting Lines Theorem states that if we perform a composition of two reflections over two lines that intersect, the result is equivalent to a single rotation transformation of the original object.

hope it helps! (✿◠‿◠)

The result concluded is equivalent to a single rotation transformation of the original object.

When a graph is reflected along an axis, say x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.

The Compositions of Reflections Over Intersecting Lines states that if we perform a composition of two reflections over two lines that intersect.

The result concluded is equivalent to a single rotation transformation of the original object.

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f.g and its domain is 24x²-36x-24; all real numbers.

Given, f(x) = 3x - 6; g(x) = 8x +4.

We need to find the value of f.g

The domain of a function; In mathematics, the domain of a function is the set of inputs accepted by the function.

Now, (f.g)(x)=(3x-6)(8x+4)

=24x²-48x+12x-24

=24x²-36x-24

Therefore, f.g and its domain is 24x²-36x-24; all real numbers.

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Answer:

i think this is the answers

Step-by-step explanation:

-13.78xy

a) The speed of the boat is 3/5 ft/sec

b) The rate at which the angle changes is 8/125 rad/sec

A right angled triangle is a type of the triangle with one of its angles 90°.

The longest side of the triangle is called the hypotenuse which is the side that faces the right angle. other sides are called the adjacent sides.

Analysis:

The analysis is in the attached file below.

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Answer:

Step-by-step explanation:

x intercept equals pi

Answer:

x intercept= 6

Step-by-step explanation:

There are 4 elements in the set A and 8 elements in set B that is n(A) = 4 and n(B) = 8

This is the total number of elements in a set. Given the following sets;

A = {c, d, e, f}

B = {odd numbers greater than 5 and less than 23}

B = {7,9,11,13, 15, 17, 19, 21}

Since there are 4 elements in the set A and 8 elements in set B hence n(A) = 4 and n(B) = 8

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It's the water

The salt would be the solute that dissolves in the solvent.

Temp - is a factor

(affecting rate at which salt dissolves)

grams - unit of measure

Hope this helps!

The solution to the system of equations is: (1, -8).

The solution is the coordinate of the point where both lines of the equations meet.

Second equation: 3y + 30 = 6x, rewrote in slope-intercept form:

3y = 6x - 30

y = 6x/3 - 30/3

y = 2x - 10 --> eqn. 1

Find the slope (m) and y-intercept (b) of the first graphed equation:

Slope (m) = change in y/change in x = rise/run = -4/2 = -2

The line intersects the y-axis at y = -6, so, the y-intercept, b = -6.

The first equation would be: y = -2x - 6 ---> eqn. 2

Subtract eqn. 2 from eqn. 1 to eliminate x

y = 2x - 10 --> eqn. 1

y = -2x - 6 ---> eqn. 2

2y = 0 - 16

2y = -16

y = -16/2

y = -8

Substitute y = -8 into eqn. 1 to find x:

-8 = 2x - 10

-8 + 10 = 2x

2 = 2x

2/2 = x

1 = x

x = 1

The solution is therefore: (1, -8).

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The age of the man whose normal pressure measures 128 mmHg is approximately 38 years.

The quadratic formula can be used to determine the age of a man whose normal blood pressure measures 128 mmHg. This can be expressed mathematically as:

[tex]\mathbf{ \dfrac{-b \pm\sqrt{b^2 - 4ac}}{2a}}[/tex]

From the given equation:

P = 0.006A² - 0.02A + 120

where;

128 =  0.006A² - 0.02A + 120

= 0.006A² - 0.02A + 120 - 128

= 0.006A² - 0.02A - 8

where:

[tex]\mathbf{ \dfrac{-(-0.02) \pm\sqrt{(-0.02)^2 - 4(0.006)(-8)}}{2(0.006)}}[/tex]

[tex]\mathbf{ = \dfrac{(0.02) \pm 0.43863}{0.012}}[/tex]

= 38.2195 or -34.8862

Taking the positive integer value, the age of the man whose normal pressure measures 128 mmHg is approximately 38 years.

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Answer:

The length of the shortest side of the pentagon would be:

40.2

Answer:

3/8=15/40

Step-by-step explanation:

Multiply both the numerator and the denominator of the first term by 5 and you'll see that it's the same fraction.

The given graph is a function.

The correct option is (B).

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

As we draw the vertical line then for one input x there is one output.

Hence, the given graph is function.

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The domain of the function g(x)=l2xl +2 is all real numbers and the range is from (0,∞).

Given g(x)= l2xl +2

First of all we know that modulas gives two values for x<0 and x>=0.

The function g(x) if opened gives two values.

for x>=0 g(x)=2x+2

for x<0 g(x)=-2x+2

because we have not told about the description about x so we can put any value in the function.

So the domain is all real numbers.

Now when we take g(x)=2x+2 for x>=0

putting x=0 we get 2 and rest are positive values so the value of g(x) keeps increasing as we increase the value of x. So here range is [2,∞).

Now take g(x)=-2x+2 for x<0

putting smallest number starting from zero but not 0 we will get a number near to 0 but not zero and because when a negative number multiplies with -2 it becomes positive and increase the value of g(x) so here the range becomes (0,∞).

When we talk about overall range it will be [2,∞) ∪(0,∞)

it will be (0,∞).

Hence the domain of the function g(x) is all real numbers and range is from 0 to infinity.

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