The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square of sides x cm removed from its center.the area of each face of coin is 7picm2.
(1)from an equatin in x and showw that itvis reduces to 2pi-x2=0.
(2)solve the equation 2pi-x2=0.
(3)find the perimeter of the square

Answer: x≈3.7

Step-by-step explanation:

7x+4=30

-4 on both sides

30-4=26

7x=26

divide 7 on both sides

x=3.7142...

Answer:

3.7

Step-by-step explanation:

7x+4=30

7x=30-4

7x=26

26/7

3.7

half of room because worker A can paint fast so he will paint fast

Answer:

5/6 of the room would be painted if both of them painted the room together in 1 hour

Step-by-step explanation:

Work done by A in 1hour=1/2

Work done by B in 1hour=1/3

Therefore total work done by both in 1hr=1/2+1/3

LCM of 2 and 3 is 6

therefore 1/2+1/3=3/6+2/6=5/6

Answer:

c.

Step-by-step explanation:

c is the correct answer 1,4

Answer:

graph C

Step-by-step explanation:

so the equation given is [tex]f(x)=-(x+1)(x-3)[/tex]

the negative in front of the (x+1)(x-3) indicates that the parabola will reflect over the x-axis and will open downward.  This eliminates graphs A and B

the (x+1)(x-3) part tells you the zeros of thr function(x-intercepts)

All you have to do is set (x+1) equal to zero and (x-3) equal to zero as shown:

x+1=0 -- subtract 1 from both sides to get -- x=-1

x-3=0 -- add 3 to both sides to get -- x=3

Therefore, -1 and 3 are your zeros or x-intercepts for the function.  

Now, look at graphs C and D to see which of the two graphs passes through (-1,0) and (3,0), of course at the x-axis

The only graph that works is graph C so graph C is your answer

Answer:

[tex]3 \frac{1}{2} [/tex]

solution,

[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]

Hope this helps...

Good luck on your assignment....

The answer in mixed number is written as  [tex]3\dfrac{1}{2}[/tex]

The given expression is  [tex]\dfrac{1}{2} \times 7[/tex].

Mixed fraction is composed of an integer with a proper fraction.

A proper fraction is one which has numerator's value smaller than that of denominator.

The conversion will go like shown below:

[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]

Thus, the resultant mixed number of given expression will be given as  [tex]3\dfrac{1}{2}[/tex]

Learn more here:

https://brainly.com/question/236680

Answer:

C. Negative

Step-by-step explanation:

We know that

The farther right this line goes the further it goes down.

This is a negative slope.

If this line was directly vertical it would be undefined.

If it was horizontal it would be zero.

Answer:C

Step-by-step explanation:

Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.

Answer:

(2, 2.5 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus

midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )

Answer:

The factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].

Step-by-step explanation:

We know that:

[tex]x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})[/tex]

Compute the factors of [tex]x^{3}-y^{3}[/tex] as follows:

[tex]x^{3}+(-y)^{3}=(x+(-y))(x^{2}-x(-y)+(-y)^{2})[/tex]

     [tex]x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})[/tex]

Thus, the factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].

Answer:

0.00089.

Step-by-step explanation:

The third significant figure is 7 so we round up the 8,

Answer:

180 grams

Step-by-step explanation:

2 people = 5 ounces

6 people= 5*3= 15 ounces

1 ounce= 28 grams

15 ounces= 15*28 grams= 420 grams

There is 240 grams already on the weight, so

420- 240= 180 grams more of diced onions are required

Answer: No real solutions

Step-by-step explanation:

The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.

6²-4(1)(10)

36-40

-4

Since the discriminant is less that 0, there are no roots.

Answer:

The first term is 42.

Step-by-step explanation:

The common difference is 142  - 140 = 2 so we have

50th term = a1 + 2(50 -1) = 140    where a1 is the first term

a1 + 98 = 140

a1 = 140 - 98 =  42.

Answer:

33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

Answer:

-16d+24

Step-by-step explanation:

=> -8(2d-3)

Expand the brackets and use distributive property.

=> (-8 × 2d)+(-8 × -3)

Multiply

=> (-16d) + (24)

=> -16d+24

Answer:

-16d + 24

Step-by-step explanation:

-8(2d - 3)

Expand or distribute.

-8(2d) -8(-3)

Multiply the terms.

-16d + 24

Answer:

fourth option

Step-by-step explanation:

Given

f(x) = (x + 1)(x + 4)(x - 7)

To find the x- intercepts let f(x) = 0, that is

(x + 1)(x + 4)(x - 7) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

x - 7 = 0 ⇒ x = 7

x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )

Answer:

  2x -3y = 19

Step-by-step explanation:

For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-5-(-1))/(2 -8)(x -8) +(-1)

  y = -4/-6(x -8) -1

  3y = 2x -16 -3 . . . . multiply by 3

  2x -3y = 19 . . . . . . rearrange to standard form

__

The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.

Answer:

2x + -3y = 19

Step-by-step explanation:

I promise

Answer:

y = -3/4

Step-by-step explanation:

1. Simplify all terms - 8y + 6 = ?

2. Set to two sides - 8y = -6

3. Solve - y = -6/8 = -3/4

Hope this helps:)

Answer:

3n + 5

1. Substitute the numbers

3(5) + 5 = 15 + 5 = 20

2. Substitute the second number

3(6) + 5 = 18 + 5 = 23

This is because I realized I got the number of 4 last because I did 1*2 = 2.

Then I did 2*2 = 4.

So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.

1.  1

2.  1*2 = 2

3.  2*2 = 4

Answer:

C

Step-by-step explanation:

Equation A

16x - 7 = 11x - 32

(16x - 7) - 11x = (11x - 32) -11x

5x - 7 = -32

(5x - 7) + 7 = (-32) + 7

5x = -25

(5x)/5 = (-25)/5

x = -5

Equation B

-4x - 10 = 2x + 20

(-4x - 10) - 2x = (2x + 20) - 2x

-6x - 10 = 20

(-6x - 10) + 10 = (20) + 10

-6x = 30

(-6x)/-6 = (30)/-6

x = -5

Both Equation A and Equation B have a solution of -5.

Answer:

[tex] \frac{80}{100} = \frac{4}{5} [/tex]

Answer:

b and c

Step-by-step explanation:

x+30<60 -->x < 60 -30 = 30 --> x < 30

Answer:

B and C

Step-by-step explanation:

We can solve for x in the inequality just like you do when solving algebra equations of an = sign.

x + 30 < 60

x + 30 - 30 < 60 -30

x < 30

"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.

Since x is smaller than 30, and is not 30,

the only option that is correct is B, 1 and C, 29.

Answer:

(f-g) (x) is

[tex] {4}^{x} - 5x - 14[/tex]

Step-by-step explanation:

f(x)=4ˣ - 8

g(x)=5x+6

(f-g) (x) is

[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]

The final answer is

[tex] {4}^{x} - 5x - 14[/tex]

Hope this helps you.

Answer :

Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:

(2x-3) m

Thus the area will be:

Area=1/2bh

Area=1/2x(2x-3)=17.5

x^2-1.5x=17.5

Writing the above equation is quadratic form of ax^2+bx+c=0 we get:

x^2-1.5x-17.5=0

Answer:

t = 2,22 h

Step-by-step explanation:

At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.

If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.

In 1 hour with the two processors,  we get    1/4,  and in 1 hour with the old processor we get 1/5  

Then in 1-hour the old processor  plus contribution of the new one will download 1/4 of the movie or

 1/5  +  x   = 1/4

x  = 1/4 - 1/5

x(h) =  5 + 4 /20        x = 9/20    or   0,45 of the movie in  1 hour

Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20

If   in 1 hour download    9/20

            x                          11/20

x(r)   = (11/20) / (9/20)    = 11/9     x(r) =  1,22 (h)

Then total time for the new processor to download the movie is:

t = 1,22 + 1

t = 2,22 h

Answer:

its the last one

Step-by-step explanation:

Answer:

No, She did not use the distributive property correctly.

Step-by-step explanation:

While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].

Answer:No, She did not use the distributive property correctly.

Answer:

43.3 m

Step-by-step explanation:

you can use Tangent and calculator or table to find it.

tan ∅ = opp/adj

tan 61° = r/24

1.804 = r/24

r = 1.084 * 24 = 43.297 m

r = 43.3 m

Answer:

hexagonal shape

Step-by-step explanation:

i am small child from American

sorry for answer

I'm 10 year old

I am born in Nepal

but develop in America

Answer: 31 : 9

Step-by-step explanation:

Assume the following:

Alice's amount = P

Bob's amount = Q

Amount received = n

If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.

P + n = 4(Q - n)

P + n = 4Q - 4n

P = 4Q - 4n - n

P = 4Q - 5n - - - - (1)

If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob

P - n = 3(Q + n)

P - n = 3Q + 3n

P = 3Q + 3n + n

P = 3Q + 4n - - - - - - (2)

Equating both equations - (1) and (2)

4Q - 5n = 3Q + 4n

4Q - 3Q = 4n + 5n

Q = 9n

Express P in terms of n, use either equation (1) or (2)

From equation 2:

P = 3Q + 4n

Substituting Q = 9n

P = 3(9n) + 4n

P = 27n + 4n

P = 31n

Alice's amount = P, Bob's = Q

Ratio = P:Q

31 : 9

Answer:

31:9

Step-by-step explanation:

Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that

\begin{align*}

A + n &= 4(B - n),\\

A - n &= 3(B + n).

\end{align*}

Simplifying, we have

\begin{align*}

A + 5n &= 4B, \\

A &= 3B + 4n.

\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.

Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.

Answer:

Step-by-step explanation: