.Find the distance between the two points
(3, 5) and (4, 6) to the nearest tenth.

Answer:

it is b

Step-by-step explanation:

The solution is Option A.

The coordinates of the vertex A before the reflection across the line y = x is given by A = A ( 10 , -2 )

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the coordinates of the point A be A ( x , y )

Now , the vertex A is reflected over the line y = x

When you reflect a point across the y = x , the y-coordinate gets interchanged with x-coordinate. The reflection of point (x, y) across the line y = xis ( y , x )

So , the coordinates of the point A' ( -2 , 10 )

Now , the coordinates of the point A will be

A ( x , y ) = A ( 10 , -2 )

Therefore , the value of A is A ( 10 , -2 )

Hence , the coordinates of the point before reflection is A ( 10 , -2 )

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well, the total amount of technicians employed is 100% and that is "x" amount, now, we also know that 3% of of that is 10800, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 10800& 3 \end{array} \implies \cfrac{x}{10800}~~=~~\cfrac{100}{3} \\\\\\ 3x=1080000\implies x=\cfrac{1080000}{3}\implies x=360000[/tex]

Hello there!

I will only explain the ones that do not appear correct to me. If you require further explanation, please let me know.

1] vertical

2] corresponding

   -> These two angles are in corresponding places on points of the lines, so they are corresponding angles.

3] alternate interior

4] alternate exterior

   -> These angles are on the "outside" of the parallel lines, and on "opposite" sides of the transversal. With this in mind, they are alternate exterior angles

5] same side interior

6] same side exterior

   -> These angles are on the "outside" of the parallel lines, and on the same side of the transversal. With this in mind, they are same-side exterior angles

The statement that is true for all the problems is " The last step is always to subtract.". Option B.  This is further explained below.

Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.

In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.

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Answer: B & D

Step-by-step explanation: I did this assignment.

The graph of the function looks like V. And the vertex of the function will be at (-3, 0).

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = |x + 3|

Then the graph of the function looks like V. And the vertex of the function will be at (-3, 0).

The graph of the function is given below.

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Answer: B

Step-by-step explanation:

The angles add to 90 degrees if they are complementary, so:

[tex]x-2+2x+5=90\\3x+3=90\\3x=87\\x=29[/tex]

So, the angles measure 29-2=27 degrees and 2(29)+5=63 degrees.

Mean measure of central tendency is the most affected by outliers. Then the correct option is B.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

Mean measure of central tendency is the most affected by outliers.

Then the correct option is B.

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Answer:

the revenue is 280 by 190

Answer:

Step-by-step expiation : 5575.3

Answer:

would need to see the graph

Step-by-step explanation:

see answer advice

Answer: 9

Step-by-step explanation:

By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]

The correct answer is option B which is -4.(-3)5x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The expression will be solved as:-

E = ( 4 - ( -3 )) 5x

E = 4 (+3) ( 5x)

E = 12(5x)

E = 60x

Now we will check option B

E1 = -4(-3)5x

E1 = 12 (5x)

E1 = 60x

E  = E1

Therefore the correct answer is option B which is -4.(-3)5x.

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Answer:

103.9

Step-by-step explanation:

yes

The equivalent expressions of 2n + (8 + 32)are 2n + 40 and 2(n + 20)

The expression is given as:

2n + (8 + 32)

The first equivalent expression

Evaluate the sum of the numbers in the bracket

2n + (8 + 32) = 2n + 40

This means that 2n + 40 and 2n + (8 + 32) are equivalent.

The second equivalent expression

In (a), we have:

2n + (8 + 32) = 2n + 40

Factor out 2 from the expression

2n + (8 + 32) = 2(n + 20)

This means that 2(n + 20) and 2n + (8 + 32) are equivalent.

Hence, the equivalent expressions are 2n + 40 and 2(n + 20)

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Answer:

she will need 728 pounds to buy 28 cans but she only has 10 pounds so she doesn't even have enough for 1 can of soda

Answer:

[tex]\frac{2}{3}x^{12}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{6x^{18}}{9x^6}=\frac{6}{9}*\frac{x^{18}}{x^6}=\frac{2}{3}*x^{18-6}=\frac{2}{3}x^{12}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{6x^{18}}{9x^6}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{3}x^{18-6}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{3}x^{12}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2x^{12}}{3}[/tex]

Answer:

1.64

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6.6^2 + x^2 = 6.8^2

43.56+x^2=46.24

Subtract 43.56 from each side

x^2 = 46.24-43.56

x^2 =2.68

Take the square root of each side

sqrt(x^2) = sqrt(2.68)

x =1.637080554

To 3 significant digits

x = 1.64

Answer:

Step-by-step explanation:

       x = 1.637 mm

        We can use Pythagorean theorem, to find the unknown side for a right angled triangle.

The side opposite to 90 is the longest side and it is the hypotenuse.

Base² + altitude² = hypotenuse²

 x²     + 6.6²        = 6.8²

      x²  +  43.56  = 46.24

                     x²   = 46.24 - 43.56

                    x²    = 2.68

                      x   = √2.68

                      [tex]\sf \boxed{\bf x = 1.637 \ mm }[/tex]

Answer:

(5*10^3)*(9*10^7) = 4.5*10^11

(7*10^5) / (2*10^2) = 3.5*10^3

Step-by-step explanation:

calculate 5 multiply by 9

5*9=45

the multiple of the power in the same base of number is calculated by using addition(+)

(10^3)*(10^7) = 10^(3+7)

= 10^10

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

45*(10^10)

= (4.5*10^1) * (10^10)

= 4.5*10^(1+10)

= 4.5*10^11

calculate 7 divide by 2

7/2=3.5

the dividing of the power in the same base of number is calculated by using subtraction(-)

(10^5)/(10^2)

= 10^(5-2)

= 10^3

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

3.5*10^3

Answer:

Step-by-step explanation:

(5×10³)×(9×10⁷)

= 5×10³×9×10⁷

= 5×9×10³×10⁷      (commutative property)

= (5×9)×(10³×10⁷)  (associative property)

= 45 × 10³⁺⁷

= 45 × 10¹⁰.           (Exponent property)

= 4.5 × 10¹¹

…………………………………………

(7×10⁵) / (2×10²)

= (7/2) × (10⁵/10²)

= 3.5 × 10⁵⁻²

= 3.5 × 10³

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

....................................................................................................................................

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations!  :)

[tex]\dag\textsf{Acronym \: PEMDAS}[/tex]

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is [tex]\mathsf{6-(\cfrac{2}{3})^2}[/tex]

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain  [tex]\mathsf{6-\cfrac{4}{9}}[/tex].

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: [tex]\mathrm{\cfrac{6}{1}-\cfrac{4}{9}}[/tex]. Now let's multiply the denominator and the numerator of the first fraction times 9: [tex]\mathrm{\cfrac{54}{9}-\cfrac{4}{9}}[/tex].

See, now the fractions have the same denominator. All we should do now is subtract the numerators: [tex]\mathrm{\cfrac{50}{9}}[/tex].

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{5}}[/tex]

Calculate 2/3, to the power of 3, therefore

[tex]\bf{\left(\dfrac{2}{3}\right)^{2}=\dfrac{2\times2}{3\times3}=\dfrac{4}{9} }[/tex]

[tex]\bf{6-\dfrac{4}{9} }[/tex]

Convert 6 to the fraction 54/9.

[tex]\bf{\dfrac{54}{9}-\dfrac{4}{9} }[/tex]

Since 54/9 and 4/9 have the same denominator, join their numerators to subtract them.

[tex]\bf{\dfrac{54-4}{9} \ \ \to \ \ \ Subtract }[/tex]

Subtract 4 from 54 to get 50.

[tex]\bf{\dfrac{50}{9} \ \ \to \ \ \ Answer }[/tex]

Therefore, the correct alternative is "D".

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

The relation that describes the graph {(-1, 3), (-2, 1), (-3, -3), (-4, -5)}

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of given graph:

Hence, the relation is {(-1, 3), (-2, 1), (-3, -3), (-4, 5)}.

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Answer:

8

Step-by-step explanation:

I am good at math

Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

[tex] \rm \: Diameter = 2(r)[/tex]

Where

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]

Answer:

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

Step-by-step explanation:

3x - 4y [tex]\geq[/tex] 24

-3x                 -3x

(-4y [tex]\geq[/tex] 24 - 3x ) / -4

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

The graphed cosine function can either be:

cos(x + pi) or cos(x - pi).

We know that this function is a cosine function with a phase shift, so the general form is:

f(x) = cos(x + P).

Where P is the phase shift.

In the graph we can see that when x = 0, f(0) = -1

And we know that cos(pi) = -1 = cos(-pi)

Then we must have that:

f(0) = cos(P) = -1

By what we wrote above, we know that P can be either -pi or pi (because of the parity of the cosine). Let's say that P = pi, then the cosine function is:

f(x) = cos(x + pi).

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Answer:

115.5

Step-by-step explanation:

the car is traveling at precisely 52.5 miles an hour

When Leonardo and his wife file married filing jointly in 2021, the average tax rate will be 15.63 percent

In the question above, Leonardo's taxable income = $80,000

Theresa's taxable income = $15,000

Total taxable income for both of them will be:

$ 80,000 + $ 50,000 = $ 130,000

When you make use of the Schedule Y-1,

The amount of the tax on total income shall be said as:

Tax liability = $9,086 + (($130,000 - $78,950) * 22%)

= $9,086 +($51,050 * 22%)

= $9,086 + $11,231

= $ 20,317

To get the Effective tax rate, it will be:

= tax liability / Total taxable income Effective tax rate

= [tex]\frac{20,317}{30000}[/tex]  that is also written as $20,317/ $130,000

So, the  average tax rate is = 15.63%

Therefore, the average tax rate will be = 15.63 percent

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Answer:

12 ft

Step-by-step explanation:

We assume right triangle ABC with the right angle being at B. We are given that the ratio of AB/CB = 8/7, and one leg is 10.5.  Let's call the other leg is X. We don't know which leg is which so assume both. Then

(a) assume the X leg is the longer

8 / 7 = X / 10.5

(8 * 10.5) / 7= X

X = 12

OR (b) assume the X leg is the shorter

8/7 = 10.5 / X

(8X / 7) = 10.5

8X = 10.5 * 7

8X =  73.5

X = 9.1875

(a) is the greater so (a) wins

The minimum number of sides that the polygon at the base of the prism must has 4 sides.

This refers to the plane figure in geometry that has three or more sides and angles in a finite straight line.

As we know the minimum number of sides a polygon does the base of the polygon have 4 side.

Now, as the plane intersect a prism parallel to base of the prism so the polygon of 5 sides will form then at least the base of the polygon will have 4 sides.

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