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Find the area of the shaded region.
800
5 cm
A = [?] cm2
Enter a decimal rounded to the nearest tenth.

Option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.

A rational expression is the ratio of two polynomials. It looks like fractions that have variables in their denominators. A rational expression is considered simplified if there are no common factors in its numerator and denominator.

For the given situation,

The rational expression is

7x²/(2x + 6) ÷ (3х - 5)/(x +3)

⇒ [tex]\frac{\frac{7x^{2} }{2x+6} }{\frac{3x-5}{x+3} }[/tex]

In conversion of division to multiplication, we need to change the division sign to multiplication sign and reciprocal the rational expression for simplification.

⇒ [tex](\frac{7x^{2} }{2x+6} )(\frac{x+3}{3x-5} )[/tex]

⇒ [tex](\frac{7x^{2} }{2(x+3)} )(\frac{x+3}{3x-5} )[/tex]

⇒ [tex](\frac{7x^{2} }{2(1)} )(\frac{1}{3x-5} )[/tex]

⇒ [tex]\frac{7x^{2} }{6x-10}[/tex]

Hence we can conclude that option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.

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Answer:

5.4 is the length

Step-by-step explanation:

5.333 - (12√5)/5 - round to nearest hundreth (5.4)

length total 5.4

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The length of the smaller leg is 3.8 unit.

Pythagoras theorem states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.

[tex]c^{2} = a^{2} + b^{2}[/tex]

Let the length of the leg be b and a.

According to the given question.

We have a rigth triangle which have congruent legs.

And hypotenuse, c = [tex]\frac{12\sqrt{5} }{5}[/tex]

Since, the legs are congruent.

Therefore,

a = b

Now, according to the Pythagoras theorem.

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]\implies c^{2} = a^{2} + a^{2}[/tex]

[tex]\implies c^{2} = 2a^{2}[/tex]

[tex]\implies (\frac{12\sqrt{5} }{5} )^{2} = 2a^{2}[/tex]

[tex]\implies \frac{144\times 5}{25} = 2a^{2}[/tex]

[tex]\implies \frac{144}{5} = 2a^{2}[/tex]

[tex]\implies \frac{72}{5} = a^{2}[/tex]

[tex]\implies a = \sqrt{\frac{74}{5} }[/tex]

[tex]\implies a = \sqrt{14.8}[/tex]

[tex]\implies a = 3.84[/tex]

[tex]\implies a = 3.8[/tex] unit

Hence, the length of the smaller leg is 3.8 unit.

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Answer:

90 degrees

Step-by-step explanation:

Answer:

rotation of 90° counterclockwise, then translation 3 down

The given figure has a rotation of 90° counterclockwise, then translation 3 down.

A translation moves a shape left, right, up, or down without turning it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

The two figures given in the image are plotted on the coordinate plane having axis x and y.

From the figure it is observed that the given figure has a rotation of 90° counterclockwise, then translation 3 down.

Therefore, the given figure has a rotation of 90° counterclockwise, then translation 3 down.

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Answer:

6 x 2 = 12 then add 5, answer is 17

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]

[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]

[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]

[tex]Z = \frac{0.127 }{0.0377}[/tex]

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

Answer:

(8, 1)

Step-by-step explanation:

The mx for this set of coordinates is 4x so the next point in this set would be (8, 1)

Answer:

8

Step-by-step explanation:

[tex]\frac{y}{25}= \frac{32}{100}[/tex]

y × 100 = 32 × 25

100y = 800

100y ÷ 100 = 800 ÷ 100

y = 8

Here is a formula for most percentage problems.

Answer:

-6 18

-30 30

Step-by-step explanation:

Multiply each number in the matrix by the 6.

Answer:2.2%

Step-by-step explanation:

Answer:

D) x = ± 2√5 - 4

Step-by-step explanation:

2x² + 16x - 8 = 0

Yah, i plugged this into m a t h w a y

(all of ur questions pretty much can use this app or website)

Answer:

D

Step-by-step explanation:

Given

2x² + 16x - 8 = 0 ( divide through by 2 )

x² + 8x - 4 = 0 ( add 4 to both sides )

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16

(x + 4)² = 20 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± 2[tex]\sqrt{5}[/tex] ( subtract 4 from both sides )

x = - 4 ± 2[tex]\sqrt{5}[/tex] → D

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

Answer:

4,317.85

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

8 = 0.08%   Turn the percent to a decimal

2000 / 0.08 = 160    Divide it by 2000

160 * 10 = 1600    Mutiply by 10

Have a good day    

Answer:

I dont know explaining more its not clear plz explaining ore

The answer is a 441 cm area

Answer:

D

Step-by-step explanation:

Let the number be n.  Then "a number divided by 22" would be n/22 (Answer D)

The number divided by 22 can be written as x / 22, so option D is correct.

It is a fundamental operation in mathematics where you divide a number into smaller parts.

Given:

A number divided by 22,

Here, the divisor = 22

Assume the number is x

Then, dividend = x

Thus, expression can be written as,

dividend/divisor = x / 22

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Answer:

Zane needs 240 strings for 5 harps.

Step-by-step explanation:

All you have to do is multiply

48 * 5 = 240

So, the answer is 240

Hope this helps! :)

Answer:

2x^2 √13

Step-by-step explanation:

Answer:

what school you do

Step-by-step explanation:

what grade

4m - - - - >4x10=40m^2

6m - - - - >6x10=60m^2

Answer:

12 in

Step-by-step explanation:

C=2pi *r

75/2(3.14)=r

r=75/6.28

~11.94~12 inches

if my answer helps please mark as brainliest

Answer:

12 in

Step-by-step explanation:

Circumference:

C = 2πr

75 = 2(3.14)r

75 = 6.28r

r = 75/6.28

r = 11.95 ≈ 12

Answer:

I have no idea what sohcahtoa is but:

tan 50.1° = x/5

1.196 = x/5

multiply both sides of the equation by 5:

x = 5.98

Answer:

I know what the answer is if you be more clear. Is 108 the diameter?

I hope this helps you

tgM=39/80

sinM=39/89

cosM=80/89

Answer: 238

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

Sequences:

A sequence is called arithmetic if the difference between consecutive terms is the same.

A sequence is called geometric if the quotient between consecutive terms is the same.

In this question:

28 - 22 = 22 - 16 = 16 - 10 = ... = 6

Difference is always 6, that is, each term is the previous one subtracted by 6. So the sequence is arithmetic.

Answer:

they're all correct

Step-by-step explanation:

I think, if it's wrong I'm very sorry, but I'm fairly sure they're right

hope this helps:)