In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°

Answer:

[tex]\large \boxed{\text{22.07 m}}[/tex]

Step-by-step explanation:

The formula for the volume (V) of a sphere is:

V = ⁴/₃πr³

We can use this equation to calculate the radius (r).

[tex]\begin{array}{rcl}45001 & = & \dfrac{4}{3} \pi r^{3}\\\\33750 & = &\pi r^{3}\\10740 & = &r^{3}\\r & = & \textbf{22.07 m}\\\end{array}\\\text{The radius of the great circle is $\large \boxed{\textbf{22.07 m}}$}[/tex]

Answer:

[tex](4x + 4)(x + 6) \\ [/tex]

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 24 \\ 4 {x}^{2} + 24x + 4x + 24 \\ 4x(x + 6) + 4(x + 6) \\ (4x + 4)(x + 6)[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

Answer:

a = 43

Step-by-step explanation:

If PQ = PR, then P = R

The sum of the angles of a triangle is 180

P+Q+R = 180

47+2a + 47 = 180

Combine like terms

94 + 2a = 180

Subtract 94 from each side

2a = 180-94

2a = 86

Divide by 2

2a/2 = 86/2

a = 43

Answer:

43

Step-by-step explanation:

PQ = PR, so P = R

P + Q + R = 180

47+2a + 47 = 180

2a = 180 - 47 - 47

2a = 86

= 43

Hope this helps!

Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

Add 3y to each side

y+3y + 6 = –3y+3y + 26

4y +6 = 26

Subtract 6 from each side

4y+6-6 = 26-6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

We have to given that;

Expression is,

⇒ y + 6 = - 3y + 26

Now, We can simplify as;

y + 6 = - 3y + 26

Add 3y to each side

y + 3y + 6 = - 3y + 3y + 26

4y + 6 = 26

Subtract 6 from each side

4y + 6 - 6 = 26 - 6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

Thus, The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

Learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

Answer:47

Step-by-step explanation:

On first roll Mike gets 4 and 3

So number he gets after subtraction of square is

[tex]\Rightarrow 4^2-3^2=7[/tex]

On second roll Mike gets 6 and 2

So number he gets after subtraction of square is

[tex]\Rightarrow 6^2-2^2=32[/tex]

On Third roll Mike gets 3 and 1

So number he gets after subtraction of square is

[tex]\Rightarrow 3^2-1^2=8[/tex]

Sum of numbers[tex]=7+32+8=47[/tex]

John obtains [tex]47[/tex] as sum

Answer:

The price of the regular gasoline is $2.46, while the premium is $2.67.

Step-by-step explanation:

Let the price of regular gasoline be "x", while the price for the premium be "y", The sum of the amount of each type of gas multiplied by its cost should be equal to the total paid, therefore:

[tex]8*x + 8*y = 41.04[/tex]

We also know that the premium gas costs 0.21 more than the regular one, therefore:

[tex]y = x + 0.21[/tex]

We can apply the second expression on the first, in order to solve for "x".

[tex]8*x + 8*(x + 0.21) = 41.04\\8*x + 8*x + 1.68 = 41.04\\16*x = 41.04 - 1.68\\16*x = 39.36\\x = \frac{39.36}{16} = 2.46[/tex]

[tex]y = 2.46 + 0.21 = 2.67[/tex]

The price of the regular gasoline is $2.46, while the premium is $2.67.

Answer:

letter of a shape with rotational symmetry of order 2 is B,D and F

Answer:

Step-by-step explanation:

i strongly believe it is  rotational symmetry of order 2 is B,D and F .

hope it helps

-Delilah

Answer:

I think it might be (-3,10). I am not a 100% sure.

Step-by-step explanation:

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

The number of trades will Ian  and Jason each have an equal number of cards is 12 trades

Let's us assume the x' be the number of trades they will do.

20 + x = 44 - x

2x = 24

x = 12 trades

Learn more: brainly.com/question/16911495

========================================================

Explanation:

For each possible answer choice, you'll plug in the given coordinates to see which results in a true equation or not.

If we try choice A, then we plug in x = 2 and y = -1 to get

-5x-9y = -8

-5(2)-9(-1) = -8

-10+9 = -8

-1 = -8 which is false

So (x,y) = (2,-1) is not a solution. We can cross choice A off the list.

You'll find a similar situation happens with choices B and D. They don't work either.

-------

Choice C works because...

-5x-9y = -8

-5(-2)-9(2) = -8 .... replaced x with -2, replaced y with 2

10-18 = -8

-8 = -8

We get a true equation. So (-2,2) has been confirmed to be a solution.

Answer:

x=11/4

Step-by-step explanation:

2x-7/4=x+3/3

2x-7/4=x+1

-x         -x

x-7/4=1

 +7/4  +7/4

x=11/4

Answer:

That would be 3.455

Step-by-step explanation:

3.45 bar means the 45 at the back is repetitive.

So we have something like;

3.454545454

Now writing this to three decimal places becomes 3.455

The decimal multiplier to increase by 39% is 1.39

A decimal multiplier is used when determining the percentage of a particular amount.

From the information given:

the decimal multiplier required to increase by 39% can be determined as follows:

[tex]\mathbf{=\dfrac{100}{100} + \dfrac{39}{100}}[/tex]

[tex]\mathbf{=1 +0.39}[/tex]

= 1.39

Learn more about decimals here:

https://brainly.com/question/19494636?referrer=searchResults

Answer:

30%

Step-by-step explanation:

Profit(Gain)% = [tex]\frac{Selling price - Cost price}{Cost price} * 100%[/tex]

Selling price = N6.50

Cost price = N5

∴ Profit% = [tex]\frac{N6.50 - N5 }{N5} * \frac{100}{1}[/tex]

                 = [tex]\frac{1.5}{5} * \frac{100}{1}[/tex]

                 = (1.5 * 20)%

                 = 30%

Hope this helps!!!

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be w = 2.4 inches.

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

Answer:  d) 2.4 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 5)(x + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

x² + 12x + 35 = 69.56

x² + 12x - 34.56 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]

Answer:

She is not correct, because there are no solutions

Step-by-step explanation:

–|2x – 10| – 1 = 2

Add 1 to each side

–|2x – 10|  = 3

Divide by -1

|2x – 10|  = -3

An absolute value is positive and it would have to equal -3

This cannot happen so there is no solution

Answer:

She is not correct, because there are no solutions

Step-by-step explanation: C

Answer:

10/4 = [tex]\frac{10}{4}[/tex]

Step-by-step explanation:

Answer:

8t+4=76

Step-by-step explanation:

An equation needs an equals sign otherwise it is an expression

Answer:

David gets 28 more than Dan

Step-by-step explanation:

Jim: Dan : David: total

3   :    1    :  5       : 3+1+5 = 9

Jim gets 21

21/3 = 7

Multiply each number by 7

Jim: Dan : David: total

3*7 :  1*7  :  5 *7  :  9*7

21  :   7     :  35   :  63

David has 35 and Dan has 7

35-7 = 28

David gets 28 more than Dan

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

Answer:

[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]

Given:

Length = 8 feet

Width = (7 + x) feet

To find;

Area of the rectangle

Step-by-step explanation:

[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]

Answer:

65/97 = 0.67

Step-by-step explanation:

using trigonometric ratios

Cosine of angle = [tex]\frac{adj}{hyp}[/tex]

Answer:

acute triangle

Step-by-step explanation:

If an angle measures less than 90 degrees it is an acute angle

A triangle with all acute angles is an acute triangle

Answer:

Step-by-step explanation:

The arcs that are congruent are:

Two geometric figures can be described as congruent if on can be superpose on the other.

Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.

Learn more about congruent from

https://brainly.com/question/2938476

Answer:

(x-5)^2 + (y-6)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-5)^2 + (y-6)^2 = 3^2

(x-5)^2 + (y-6)^2 = 9

Answer: The team played 15 games total

Step-by-step explanation: 9 is 60 percent of 15.

Answer: The speed of the current is 3.5 km/h.

Step-by-step explanation:

When they move in the river, the speed of the canoe is:

Sc is the speed of the canoe and Sr is the speed of the current.

Sc + Sr (when they move in the same direction as the current)

Sc - Sr (when they move in the opposite direction as the current)

So we have that in one hour, they moved 2km and then they returned other 2km.

Now, using the relation:

Velocity*time = distance

we can write 1hour = T1 + T2 such that:

(Sc + Sr)*T1 = 2km

(Sc - Sr)*T2 = 2km

T1 + T2 = 1hour -------> T2 = 1h - T1

Sc = 6km/h.

So we can write this as two equations:

(6km/h + Sr)*T1 = 2km

(6km/h - Sr)*(1h - T1) = 2km.

Now, the first step will be isolate one of the variables in one equation, we can get:

T1 = 2km/(6km/h + Sr)

and replace it in the second equation:

(6km/h - Sr)*(1h -2km/(6km/h + Sr)) = 2km.

Now we solve this for Sr, i will ignore the units, so it is easier to read the math.

(6 - Sr) - 2*(6 - Sr)/(6 + Sr) = 2

(6 - Sr)*(6 + Sr) - 2*(6 - Sr) = 2*(6 + Sr)

6^2 - Sr^2 - 12 + 2*Sr - 12 - 2*Sr = 0

-Sr^2 + 36 -12 -12 = 0

-Sr^2 + 12 = 0

Sr = √12 = 3.5km/h

(where we take the positive value of the square root)

The speed of the current is 3.5 km/h

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the current and t₁ represent the time spent paddling up and t₂ represent the time spent paddling back. Hence:

(6 - a)(t₁) = 2 km

t₁ = 2 / (6 - a)      (1)

(6 + a)(t₂) = 2 km

t₂ = 2 / (6 + a)   (2)

t₁ + t₂ = 1 hour

[2 / (6 - a)] + [2 / (6 + a)] = 1

12 + 2a + 12 - 2a = 36 - a²

a² - 12 = 0

a = 3.5 km/h

The speed of the current is 3.5 km/h

Find out more at: https://brainly.com/question/22610586

Answer:

3*3 *7

Step-by-step explanation:

63 = 9*7

7 is prime but 9 is not

Break 9 into its factors

     = 3*3 *7

All of these are prime

Answer:3x3x7

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

You can reach this answer by doing

4+(x-3) = 2x-5

If you do this equation you will get 6 as your answer.

Hope this helps :)