QUICK!! Which formula below best represents the sector area for the diagram below?

Answer:

|6n+7|=8=  n=1/6,-5/2

|3x–1|=4  x=5/3,-1

Step-by-step explanation:

Answer:

The answer is A) 4.84 cm :P

Step-by-step explanation:

Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )

I hope I helped you :P

Answer:

The answer is A.

Step-by-step explanation:

Answer: 15π m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

where,

r = radius = 3 meters

h = height = 5 meters

Volume = 1/3πr²h

Volume = 1/3 × π × 3² × 5

Volume = 1/3 × π × 9 × 5

Volume = 1/3 × π × 45

Volume = 45π/3

Volume = 15π m³

Answer:

the initial temperature is 22.5 atm

Step-by-step explanation:

The law describing pressure-temperature relationship is the Gay-Lussac's Law.

The Mathematical Form of which is:

=> [tex]\frac{P1}{T1} = \frac{P2}{T2}[/tex]

Where P1 = ? , P2 = 30 atm, T1 = 600 K and T2 = 800 K

=> [tex]\frac{P1}{600} = \frac{30}{800}[/tex]

=> P1 = 0.0375 * 600

=> P1 = 22.5 atm

So, the initial temperature is 22.5 atm

Answer:

The correct answer is 260

Step-by-step explanation:

Also known as B

Answer:

260 so Answer B

Step-by-step explanation:

Hey there! :)

Answer:

a) 24 cm²

b) 40.04 cm²

--------------------

Use the formula A = l × w to solve for each rectangle's area:

a)

8 × 3 = 24 cm².

b)

5.2 × 7.7 = 40.04 cm²

Answer:

a) 24

b) 40.04

Step-by-step explanation:

a) Area of a rectangle: length x width

length = 8

width = 3

Plug these values into the equation above:

8 x 3 = 24

b) Same steps as above except with different values for length and width

5.2 x 7.7 = 40.04

Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

The equation is 5x - 9 = 2x + 23.

The answer is option A.

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.

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Answer:

1/3, 3/5, 5/6

Step-by-step explanation:

There are multiple ways to solve this. The most simple one in my opinion is to put them into decimal form.

3/5= .6

5/6= .83333

1/3= .333333

In this form it is much easier to put them from least to greatest.

1/3, 3/5, 5/6,

Answer:

2.24/0.16

736.434 × 0.019011

Step-by-step explanation:

The above questions have a solution of 14.

Answer:

715

Step-by-step explanation:

The total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division,and  multiplication by a conversion factor.

We have:

A birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

1/2 liters = 0.5 liters

We know,

1 lter = 1000 ml

0.5 liters = 0.5×1000 = 500 ml

Total water = 215 ml + 500 ml = 715 ml

Thus. the total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

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Answer:

I believe it is A; Its x- and y- coordinates are 2 times the correspopnding coordinated of the triangle RST.

Step-by-step explanation:

It just seems the most plausible. I am also taking the Quiz right now.

Answer:

Its A

Step-by-step explanation:

The Triangle is 2x bigger

Got it right on edg

Answer:

36°

Step-by-step explanation:

Let m∠8 = x°

Therefore, m∠7 = 4x°

Since, ∠7 and ∠8 are linear angles.

Therefore,

m∠7 + m∠8= 180°

4x° + x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

x = 36

Hence,

m∠8 = 36°

Answer:

200=4hrs=10 of the machines

200=4hrs

300=xhrs

Cross multiply

200×xhrs = 300×4hrs

X=1200/200

X= 6 hours

Answer:

the solution to the inequality -2.4(x-6)>52.8 is A

The given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given inequality is:-

We will put the value of endpoints in the graph first and put the value of x = -16

-2.4  (  x  -  6   )   >  52.8

-2.4  (  -16  -  6 )  >  52.8

-2.4  (  -22  )    >   52.8

52.8   =  52.8

Now put the value of x =-18

-2.4(  -18  -  6 )  >  52.8

-2.4( -24 )  >  52.8

57.6   >    52.8

Therefore the given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.

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Answer:

1

2

6

Step-by-step explanation:

1/2 +1/2 =1

length 1/2 ×4=2

wide 1/2 ×3 =1 1/2

height 1/2×3= 1 1/2

Answer:

Both Adler and Erika solved for k correctly.

Explanation:

Either the addition property of equality or the subtraction property of equality can be used to solve for k.

Answer:

Both adler and erika are correct

Step-by-step explanation:

just took it on edg

Answer:

Step-by-step explanation:

To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.

From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°

65+55+∠EBD  = 180

∠EBD  = 180-120

∠EBD  = 60

Also ∠DBC = 90- ∠EBD

∠DBC = 90- 60

∠DBC = 30°

Applying sine rule on ΔBCD;

52/sin∠DBC = DB/sin115

52/sin30 = DB/sin115

DB = 52sin115/sin30

DB = 52sin115/0.5

DB = 104sin115

DB = 114.75 m

Also applying sine rule on ΔBED to get side BE;

BE/sin55 = 114.75/sin65

BEsin65 = 114.75sin55

BE =  114.75sin55/sin65

BE = 93.998/0.906

BE = 103.75m

Finally, applying the trigonometry identity SOH on  ΔABE

sinΔEAB = opp/hyp

sin70° = BE/AE

Since AE = x;

sin70° = 103.75/x

x = 103.75/sin70°

x = 110.41m

Hence, the value of x missing is approximately 110.41m

Answer:

6n(n³ - 4n² + 3)

Step-by-step explanation:

Given

6[tex]n^{4}[/tex] - 24n³ + 18n ← factor out 6n from each term

= 6n(n³ - 4n² + 3) ← which may be factored further if required

6n(n³ - 4n² + 3)  is the factored form.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given that,

⇒6n⁴ - 24n³ + 18n

factor out 6n from each term

⇒6n(n³ - 4n² + 3)

There are two factors 6n and (n³ - 4n² + 3) of given expression.

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Answer: 2398.72

Step-by-step explanation:

Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72

Hope it helps <3

Answer:

$2398.72( I cannot use your dollar sign).

Step-by-step explanation:

If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!

Answer:

  4733

Step-by-step explanation:

Please refer to the attached diagram.

Point A can be assigned x-coordinate "p". Then its y-coordinate is 6p^2. The slope at that point is y'(p) = 12p.

Point B can be assigned x-coordinate "r". Then its y-coordinate is 6r^2. The slope at that point is y'(r) = 12r.

We want the slopes at those points to have a product of -1 (so the tangents are perpendicular). This means ...

  (12p)(12r) = -1

  r = -1/(144p)

The slope of line AB in the diagram is the ratio of the differences of y- and x-coordinates:

  slope AB = (ry -py)/(rx -px) = (6r^2 -6p^2)/(r -p) = 6(r+p) . . . . simplified

The slope of AB is also the tangent of the sum of these angles: the angle AC makes with the x-axis and angle CAB. The tangent of a sum of angles is given by ...

  tan(α+β) = (tan(α) +tan(β))/1 -tan(α)·tan(β))

__

Of course the slope of a line is equal to the tangent of the angle it makes with the x-axis. The tangent of angle CAB is 2 (because the aspect ratio of the rectangle is 2). This means we can write ...

  slope AB = ((slope AC) +2)/(1 -(slope AC)(2))

  [tex]6(p+r)=\dfrac{12p+2}{1-(12p)(2)}\\\\3(p+r)(1-24p)=6p+1\qquad\text{multiply by $1-24p$}\\\\3\left(p-\dfrac{1}{144p}\right)(1-24p)=6p+1\qquad\text{use the value for r}\\\\3(144p^2-1)(1-24p)=144p(6p+1)\qquad\text{multiply by 144p}\\\\ 3456 p^3+ 144 p^2+ 24 p+1 =0\qquad\text{put in standard form}\\\\144p^2(24p+1)+(24p+1)=0\qquad\text{factor by pairs}\\\\(144p^2+1)(24p+1)=0\qquad\text{finish factoring}\\\\p=-\dfrac{1}{24}\qquad\text{only real solution}\\\\r=\dfrac{-1}{144p}=\dfrac{1}{6}[/tex]

So, now we can figure the coordinates of points A and B, and the distance between them. That distance is given by the Pythagorean theorem as ...

  d^2 = (6r^2 -6p^2)^2 +(r -p)^2

  d^2 = (6(1/6)^2 -6(-1/24)^2)^2 +(1/6 +1/24)^2 = 25/1024 +25/576 = 625/9216

Because of the aspect ratio of the rectangle, the area is 2/5 of this value, so we have ...

  Rectangle Area = (2/5)(625/9216) = 125/4608 = a/b

Then a+b = 125 +4608 = 4733.

_____

Comment on the solution

The point of intersection of the tangent lines is a fairly messy expression, and that propagates through any distance formulas used to find rectangle side lengths. This seemed much cleaner, though maybe not so obvious at first.

This can be factored into the product of two binomials.

We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.

The first term in each binomial will be a factor of the p² term.

Since p² breaks down into p · p, we use a p

as the first position in each binomial.

The second term in each binomial will be the factors of

our constant term that add to the coefficient of the middle term.

These factors are +16 and +2.

So our answer is (p + 16)(p + 2).

Check out the image provided.

I have showed the different pairs of factors of 32.

However, only +16 and +2 add to the coefficient of the middle term.

Answer: 7/24

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Find the total number of throws

3 + 5 + 8+ 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1

When you add these together, you get 100

Find the number of 7s that were thrown

The number of 7s thrown was 16

Find the probability that a 7 was thrown.

P(7) = 16/100 = 0.16

Find the %.

0.16 * 100 = 16%

Answer:

54

Step-by-step explanation:

x=6

3*3=9*6=54

Answer:

5832

Step-by-step explanation:

Note:

(x^a)^b = X^(ab)

Cube both sides of the equation to obtain the answer.

[tex]3^{x} = 18\\(3^{x} )^{3} =18^{3} \\3^{3x} =5832[/tex]

Answer:

B. 5

Step-by-step explanation:

[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]

Answer:

- 6x² - x + 9

Step-by-step explanation:

Given

(x² - 3x + 8) - (7x² - 2x - 1)

Distribute the first parenthesis by 1 and the second by - 1

= x² - 3x + 8 - 7x² + 2x + 1 ← collect like terms

= - 6x² - x + 9

Answer:

4x+11 = 39

x = 7

Step-by-step explanation:

4 times a number

4x

Eleven more than

4x+11

is means equals

4x+11 = 39

Subtract 11 from each side

4x+11-11 = 39-11

4x = 28

Divide each side by 4

4x/4 = 28/4

x=7

Answer:

The coordinates seem to be A(-2, -4), B(3, 4) and C (3, -4). The rule (2x, 2y) means that you multiply the coordinates of the points by 2 so you just have to plot the points A'(-4, -8), B'(6, 8), C'(6, -8) and then connect them.

Answer:

3x³ - 2x² + 1 = 0

Step-by-step explanation:

By definition, a quadratic equation cannot have an exponent higher than 2.

Answer:

3x³ - 2x² + 1 = 0

Step-by-step explanation:

Answer:

  44/45 radians

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)r²θ

where θ is the central angle in radians.

Filling in the given numbers, we have ...

  110 cm² = (1/2)(15 cm)²θ

  θ = (220 cm²)/(225 cm²) = 44/45 radians

The subtended angle is 44/45 radians, about 56.02°.