The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 3 ft. By how many feet is the circumference of the outer circle greater than the circumference of the inner​ circle? Use ²²⁄₇ for π.

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Answer:

5/4

Step-by-step explanation:

36 is the 5tf power of 2 so we can rewrite the equation as

[tex] {2}^{4x} = {2}^{5} [/tex]

Since the expressions has same base the powers must be equal to

4x = 5 and x = 5/4

Answer:

Elliott put 2.1 bags of birdseed in the feeders

Step-by-step explanation:

(5 1/2) - (3 2/5) = 2.1

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Answer:

4

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor.

Answer:

Kepler-452b has a probable mass five times that of Earth, and its surface gravity is nearly twice as Earth's, though calculations of mass for exoplanets are only rough estimates. If it is a terrestrial planet, it is most likely a super-Earth with many active volcanoes due to its higher mass and density.Step-by-step explanation:

Answer:

Step-by-step explanation:

x/70=0.5/20

x=35/20

x=1.75

Ann will need 1.75 cups of sugar.

Answer: Solution

=

−

9

Step-by-step explanation:

Answer:

answer is x = -9

Step-by-step explanation:

2x+2=x-7

x= -9

Answer:

3c = t

Step-by-step explanation:

3 cereal boxes is 3c and the total is t. so 3c = t

Answer:

3c = t

3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t

Answer:

24.2

Step-by-step explanation:

Leg: 28m

Hypotenuse: 37m

To find the missing leg, use the following formula:

b = √[tex]c^{2} - a^{2}[/tex]

b = √[tex]37^{2} - 28^{2}[/tex]

b = √1369 - 784

b = √585

b = 24.18677

Round to the nearest tenth

24.18677 = 24.2

Answer:

Step-by-step explanation:

tanx=4/12

x=arctan(4/12)

x=18.4 degrees

Answer:

B

Step-by-step explanation: for infinitely many solutions the two lines must lie directly on top of one another- so same slope and same y-intercept

The lines in the graph of a system of equations that has infinitely many solutions will have The lines will have the same slope and the same y-intercepts.

A slope is a ratio that describes the steepness and the direction of a line.

The y-intercept is the point at which a line touches the y-axis. This means that x=0.

Thus we can say that the lines in the graph of a system of equations that has infinitely many solutions will have the same slope and the same y-intercepts. The correct answer is option B.

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Answer:

3900 feet

Step-by-step explanation:

Steps to answer this question

1 yard = 3 foot

25 yards = 25 x 3 = 65 foot

total yards swam = 30 x 2 = 60

60 x 65 = 3900

Answer:

90 bags have zips on them.

Step-by-step explanation:

140 bags - total

30 bags - no zips + buttons

27 bags - zips + no buttons

20 - no zips + no buttons

------

140 - 30 = 110

110 - 20 = 90

Given:

The expression is:

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\_\_\_+\dfrac{1}{19}n\right)+\left(-8+\_\_\_\right)[/tex]

                                          [tex]=\_\_\_n+\_\_\_[/tex]

To find:

The missing values.

Solution:

We have,

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)[/tex]

It can be written as

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11}{19}n+\dfrac{1}{19}n\right)+\left(-8+10\right)[/tex]

So, the values for the first two boxes are [tex]\dfrac{11}{19}n[/tex] and 10 respectively.

On simplification, we get

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11+1}{19}n\right)+\left(2\right)[/tex]

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\dfrac{12}{19}n+2[/tex]

So, the values for third and fourth boxes are [tex]\dfrac{12}{19}[/tex] and 2 respectively.

His average speed for the rest of the journey was of 48mph.

Answer:

see the formula in book

Step-by-step explanation:

change the first 2 brackets into cos sin like that

then after,change both into another formula

sin theta plus cos theta will come ans

Answer:

$385

Step-by-step explanation:

60% of $875 = $525

$875 - $525 = $350

10% of $350 = $35

$350 + $35 = $385

Answer:

Each side = 4m-5

Step-by-step explanation:

16m2 - 40m + 25

factor:

(4m - 5)(4m - 5)

Each side = 4m-5

Answer:

The expression for each side = 4m - 5.

Step-by-step explanation:

We need to factor the expression for the area. As the figure is a square both factors should be identical.

16m^2 - 40m + 25:

16m^2 and 25 are both perfect squares so looks like the factors are

(4m - 5)(4m - 5)

The signs are negative because the middle term is - 40m.

If we expand the factors we get:

4m*4m - 5*4m - 5*4m -5*-5

16m^2 - 20m - 20m + 25

= 16m^2 - 40m + 25  which is the original expression, so this confirms our result.

Answer:

No

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

sorry

Answer:

2,600 male students

Step-by-step explanation:

[tex]\frac{2,400}{0.48} = 5,000[/tex]

There are 5,000 students in total.

Since 2,400 of them are female, the remaining students must be male.

5,000 - 2,400 = 2,600 male students

He could take out $6.25 for each month and at the end $25 also left in his account.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data given in the question,

The total amount Kiran is having in the bank = $100

He needs to have at least $25 in the account at the end of the year.

So, the money he can spend in a year = $100 - $25 = $75

1 year = 12 months

So, the amount of money spent per month will be,

75/12 = $6.25

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Answer: D. x = 54

Step-by-step explanation:

I hope this helps a little bit.

9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

It can be helpful to write down corresponding sides and their measures.

  AB = 5, PQ = 6

  BC = 3, QR = x

  CD = 2, RS = 2.4

  DA = 4, SP = 4.8

Then you can look for easy ways to find x. You can tell from this table that all of the values in PQRS are 6/5 = 1.2 times the corresponding values in ABCD.

Then ...

  QR = 1.2×BC = 1.2×3

  QR = x = 3.6

_____

Other ways you can figure x are ...

  x/BC = PQ/AB

  x = (BC)(PQ/AB) = 3(6/5) = 3.6 . . . . the method we used

__

  x/RS = BC/CD

  x = 2.4(3/2) = 3.6

__

  x/SP = BC/DA

  x = 4.8(3/4) = 3.6

Answer:

37.57 centimetres is the length of the wire

Step-by-step explanation:

37.57 centimetres

please mark as brilliant

Answer:

72

Step-by-step explanation:

5a = 540            [ all interior angles r equal to 540 as "(n-2)x 180  (Interior                                           ____________________________________________angle poperty )]

a= 540/5 = 108   (one interior angle)

x + a = 180                      (linear pair)

x= 180 - a

x = 180 - 108 = 72

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Another way ::

Sum of Exterior angle = 360                 (exterior angle property)

One exterior angle = x = 360 / 5 = 72        ( 360 by the number of sides )

I hope im right!1 Sorry if im wrong :((

Answer:

(a) The possible dimensions are:

1 unit by 72 units;  2 units by 36 units;  3 units  by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units

(b): Patio with greatest and the least perimeter

The dimension with the greatest perimeter is: 1 by 72

The dimension with the least perimeter is: 8 by 9

Step-by-step explanation:

Given

[tex]Tiles = 72[/tex]

Solving (a): Possible rectangular models

To do this, we simply list out the possible factor pairs of 72.

So, we have:

1 unit by 72 units;  2 units by 36 units;  3 units  by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units

Solving (a): Models with the least and the greatest perimeter

Perimeter (P) is calculated using:

[tex]P = 2 * (L + W)[/tex]

So:

1 unit by 72 units;  

[tex]P = 2 *(1 + 72) = 146 units[/tex]

2 units by 36 units;  

[tex]P = 2 *(2 + 36) = 76 units[/tex]

3 units by 24 units;

[tex]P = 2 *(3 + 24) = 54 units[/tex]

4 units by 18 units;

[tex]P = 2 *(4 + 18) = 44 units[/tex]

6 units by 12 units;

[tex]P = 2 *(6 + 12) = 36 units[/tex]

8 units by 9 units

[tex]P = 2 *(8 + 9) = 34 units[/tex]

From the calculations above:

The dimension with the greatest perimeter is: 1 by 72

The dimension with the least perimeter is: 8 by 9

Answer:

Step-by-step explanation:

Remember the standard equation of circle:

We have

Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.

Here we are finding the distance between points (-10, -4) and (4, 2)

So the equation is: