A circle has a radius of 3. An arc in this circle has a central angle of 60. What is the length of the arc ?

BCGF is a quadrilateral, angles sum to 360 degrees.

B+C+G+F=360

B and G are right angles, formed by a radius and a tangent.  

90+C+90+F=360

C+F=180

C and F are supplementary.

2x + 146 + 4x + 238 = 180

6x + 384 = 180

6x = -204

x = -34

Answer: -34, second choice

Answer:

SOH CAH TOA

(Sine,opposite,Hypotenuse) - SOH

(Cosine, adjacent, Hypotenuse) - CAH

(Tangent,opposite,adjacent) - TOA

Step-by-step explanation:

Answer:

SOH CAH TOA

is the answer

Please consider the complete question.

A prism has a length of 9 millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters. What is the volume of the rectangular prism?

We know that volume of rectangular prism is product of its length, width and height.

[tex]V=\text{Length}\times\text{Width}\times \text{Height}[/tex]

[tex]V=9\text{ mm}\times8\frac{1}{2}\text{ mm}\times 3\frac{1}{2}\text{ mm}[/tex]

Let us convert our given mixed fraction into decimal.

[tex]V=9\text{ mm}\times8.5\text{ mm}\times 3.5\text{ mm}[/tex]

[tex]V=267.75\text{ mm}^3[/tex]

Therefore, the volume of the given prism would be [tex]267.75\text{ mm}^3[/tex] and option D is the correct choice.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]y=15x^2+2x-8\\\mathrm{Parabola\:equation\:in\:polynomial\:form}\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=15,\:b=2,\:c=-8\\x_v=-\frac{b}{2a}\\x_v=-\frac{2}{2\cdot \:15}\\\mathrm{Simplify\:}-\frac{2}{2\cdot \:15}:\quad -\frac{1}{15}\\x_v=-\frac{1}{15}\\\mathrm{Plug\:in}\:\:x_v=-\frac{1}{15}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=-\frac{121}{15}\\[/tex]

[tex]\mathrm{Therefore\:the\:parabola\:vertex\:is}\\\left(-\frac{1}{15},\:-\frac{121}{15}\right)\\\mathrm{If}\:a<0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}\\\mathrm{If}\:a>0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=15\\\mathrm{Minimum}\space\left(-\frac{1}{15},\:-\frac{121}{15}\right)[/tex]

Answer:

30 million

Step-by-step explanation:

i just spared my question to get the answer. it is 30 million. have a good day.

The estimated population in 2006 was 33 million.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

The exponential growth formula is:

Pn = Po × (1 + r)ⁿ⁻¹

Where:

Pn = the population at time n

Po = the population at time 0

r = the rate of growth

n = the number of years after time 0

In this case, Po = 26 million, n = 15 (2006 - 1991 = 15 years), and r can be calculated as follows:

Pn = 28 million

Po = 26 million

n = 15

r = (Pn - Po) / (Po × n)

r = (28 - 26) / (26 × 15)

r = 0.0077

Therefore, the population in 2006 can be calculated as follows:

P2006 = 26 × (1 + 0.0077)¹⁵

P2006 = 33.02 million

Therefore, the estimated population in 2006 was 33 million.

Learn more about the exponential function here:

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Answer: 1 2 and 4 hope this helps

Step-by-step explanation:

Answer:

yes, the correct answers are:

A) 1 = 2(x2 + 2x)

B) 1 = 2x2 + 4x

D) 3 = 2(x + 1)2

Step-by-step explanation:

got it correct in edg 2020 hope this is of help :)

Answer:

y=2(x square)-2x-3

Step-by-step explanation:

Let dy with y varibles in a hand

And dx with x variables on the other hand

dy=(4x-2)dx

Then by integration

y=2(square x)-2x+constant

Then substitute by x=-1 and y=1 to find the value of the constant

1=2(1)-2(-1)+ constant

Then constant=-3

Then the equation is

y=2(x square)-2x-3

Answer:

Step-by-step explanation:

The combinations are defined as

[tex]C^{r}_{n}=\frac{n!}{(n-r)!}[/tex]

Where [tex]n[/tex] is the total number of elements and [tex]r[/tex] is the number of letter we are gonna picke, which is two. Using this information, we have

[tex]C^{2}_{6}=\frac{6!}{(6-2)!}=\frac{6!}{4!}=\frac{6 \times 5 \times 4!}{4!}=30[/tex]

Therefore, there are 30 possible combinations of picking two letters.

Answer:

Is this what you needed?

Answer:

B. 5/18

Step-by-step explanation:

We have to digits taking the 0, they are as follows:

1, 2, 3, 4, 5, 6, 7, 8, 9

In other words, there are 9 in total.

Odd are 5 (1, 3, 5, 7, 9)

Pairs are 4 (2, 4, 6, 8)

Now, we have that the probability of drawing an odd one would be: 5/9

and that also, already selected that number, there would be 8 in total.

Therefore, drawing another number that is even the probability would be: 4/8

So the final probability is:

(5/9) * (4/8) = 20/72, we simplify (divide by 4) and we have 5/18 left

In other words, the answer is B. 5/18

Answer:

b

Step-by-step explanation:

Answer:

2.6

Step-by-step explanation:

Answer:

2.6161564..

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

71.9 i think

Step-by-step explanation:

Answer:

4.The product is greater that 3/8 and less than 7/2.

Step-by-step explanation:

The product of 3/8 and 7/2 is:

[tex]\frac{3}{8} * \frac{7}{2} \\\\= \frac{21}{16} = 1\frac{5}{16}[/tex]

This number is greater than 3/8.

It is greater than 1/8 but not less than 1/2.

This number is less than 7/2.

This number is greater than 3/8 and it is less than 7/2.

Hence, the correct options is 4.

Answer:

8n + 7 = 2n

Step-by-step explanation:

Answer:

Step by step: you need to divide the top and multiple by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16

Answer:

16

Step-by-step explanation:

The formula to solve for this is [tex]\frac{is}{of}=\frac{percent}{100}[/tex]

Here the 12 is our "is", the "of" is the [tex]\frac{3}{4}[/tex] , and the "percent" is what we are solving for so we can replace it for "x"

So now replacing our values we have [tex]\frac{12}{\frac{3}{4} } =\frac{x}{100}[/tex]

Cross multiplying we get [tex](12)(100) = (x)(\frac{3}{4} )[/tex]

Which then simplifies to

Then multiplying both sides by 4 to get rid of the fraction we get 4800% = 3x

The we need to divide by 3 and we get 1600% = x

Now this is in a percentage, so we need to divide 1600 by 100 to turn it into a whole number which comes out to x = 16

Answer:

Step 1: Equation 1 can be multiplied by 2, Multiplying Equation 2 by 5

Step 2: divide by 21

Step 3: substitute 3 for y in one of the equations

Step 4: add 6

Step 5: divide both sides of the equation by 5

Step-by-step explanation:

The solution for the given set of equation 5x - 2y = -11  and -2x + 5y = 17 is  x = -1 and y = 3.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equation is,

5x - 2y = -11       (1)

-2x + 5y = 17      (2)

Find the value of x from equation (2),

-2x + 5y = 17

2x = 5y - 17

x = (5/2)y -17/2

Substitute the value of x in equation (1),

5((5/2)y -17/2) - 2y = -11

25y/2 - 85/2 - 2y = -11

21y/2 = 63/2

y = 3

Substitute the value of y in equation (2) to get the value of x,

-2x + 15 = 17

x = -1

The value of x is -1 and y is 3.

The additive inverse for the x coefficient in equation (2) is 2x.

To know more about Equation on:

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Answer:

$66.80

Step-by-step explanation:

The monthly payment can be computed using the pmt formula in excel spreadsheet as shown below:

=pmt(rate,nper,-pv,fv)

the rate is the interest rate of 3.5% divided by 12 months to show interest rate per month

nper is the number of months it would take to complete the payments which is 4 years multiplied by 12 months i.e 48 months

pv is the cost of the gadget at $2,988

fv is the sum of all month payments which is not unknown

=pmt(3.5%/12,48,-2988,0)=$66.80  

Answer:

16 cm

Step-by-step explanation:

We can use ratios to solve

4 cm             x cm

----------   = -------------

1/4 year         1 year

Cross multiply

4 * 1 =  1/4 * x

Multiply each side by 4

4*4 = 1/4x*4

16 = x

Answer:

16 cm

Step-by-step explanation:

4x4=16

Answer:

its 23!

Step-by-step explanation:

18-7=11

5+7=12

11+12=23!

Answer:

B

Step-by-step explanation:

497.25/19.5=25.50

Answer:

B. $25.50

Step-by-step explanation:

if Emilio worked for 19.5 hours to earn $497.25 then how much wldid he earn perhour? ylwhen you put this in equation form

19.5h=$497.25

1h=? (so you crisscross them)

so 1h×$497.25÷19.5h (hour is divided by itself=1)

so Emilio earned $25.50 per hour.

Answer:

Force, F = 51300 N

Step-by-step explanation:

We have,

Mass of a car is 1350 kg

Acceleration of the car is 38 m/s².

It is required to find the force required to accelerate the car. The force acting on the object is given by the formula as follows:

[tex]F=ma\\\\F=1350\ kg\times 38\ m/s^2\\\\F=51300\ N[/tex]

So, the force of 51300 N is required to accelerate the car.

Answer:

4

Step-by-step explanation:

i just answered it.

The value of the variable x will be 4. Then the correct option is B.

It is a polygon with four sides. The total interior angle is 360 degrees.

A quadrilateral with 90 degree angles.

If all the angles are right angle, then the quadrilateral should be either rectangle or square.

The lengths of the left and right sides are 10 and 2y + 4.

The lengths of the top and bottom sides are 18 and 10 + 2x.

If the adjacent side of the rectangle are same, then the rectangle will become square.

So, the quadrilateral is a rectangle.

Opposite sides of the rectangle are congruent.

Then the value of the variable x will be

10 + 2x = 18

       2x = 18 – 10

       2x = 8

         x = 8 / 2

         x = 4

The value of the variable x will be 4.

Then the correct option is B.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

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Answer:

The current weight of the octopus is:

[tex]w = \frac{14}{15}\,kg[/tex]

Step-by-step explanation:

The current weight is determine by addition and subtraction of rational numbers:

[tex]w = \frac{5}{6}\,kg + \frac{3}{10}\,kg -\frac{1}{5}\,kg[/tex]

[tex]w = \frac{50 + 18}{60}\,kg - \frac{1}{5}\,kg[/tex]

[tex]w = \frac{68}{60}\,kg - \frac{1}{5} \,kg[/tex]

[tex]w = \frac{17}{15}\,kg - \frac{1}{5}\,kg[/tex]

[tex]w = \frac{85-15}{75} \,kg[/tex]

[tex]w = \frac{70}{75}\,kg[/tex]

The current weight of the octopus is:

[tex]w = \frac{14}{15}\,kg[/tex]

Answer:

4, 5 and 27.

Step-by-step explanation:

There are 2 cube numbers between 0 and 36 .

They are 8 and 27.

36 - 27 = 9 so the other 2 numbers could be 4 and 5 because they are both factors of 20.

36 - 8 = 28  whose factors are 2 * 2 * 7 which are not factors of 20.

Answer:

14.9 grams

Step-by-step explanation:

8.3+6.6=14.9

Answer:

it's 2 I already took the quiz

Answer:

.2%

.6%

40.25%

Step-by-step explanation:

There are 100 blocks in a grid so a complete grid is 100 %

a 2/10 out of 1 block is shaded

2/10  out of 100

.2 out of 100

out of 100 means percent

.2 %

b 3/5 out of 1 block is shaded

6/10 out of 100

.6 out of 100

out of 100 means percent

.6%

c 40 /100 + 1/4  out of 1 block

40% + .25 %

40.25%

Answer:

b = 5

Step-by-step explanation:

We can use the Pythagorean theorem

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

12^2 + b^2 = 13^2

144+b^2 =169

Subtract 144 from each side

144-144+b^2 = 169-144

b^2 = 25

Take the square root on each side

sqrt(b^2) = sqrt(25)

b = 5

Answer:

B= 5

Step-by-step explanation: