The equation S=4πr2 is given for the surface area of a sphere. Determine the radius of the sphere with a surface area of 135. Round answers to the nearest hundredth.

Answer: D. x = 54

Step-by-step explanation:

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.

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:

7 hours

Step-by-step explanation:

Add 8+7.5+7+6.5+6= 35

The record days of sleep is 5 days so divide 35 by 5 and you get 7 hours

Answer:

7

Step-by-step explanation:

Answer:

$385

Step-by-step explanation:

60% of $875 = $525

$875 - $525 = $350

10% of $350 = $35

$350 + $35 = $385

Step-by-step explanation:

Volume of cylinder

= πr²h

= π×3²×6

= 54π

= 169.56units³

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

Angle O=64

Side m=7.3159882(rounded if needed)

Side n=16.68902(round if needed)

We are given

Angle M which equal 26.

Angle N equals 90 degrees

Side MN which equal 15.

We are asked to find all the missing elements of the triangle.

[tex]90 + 26 + x = 180[/tex]

[tex]116 + x = 180[/tex]

[tex]x = 64[/tex]

Angle O=64 degrees

We can find side m by doing law of sines.

[tex] \frac{on}{ \sin(26) } = \frac{mn}{ \sin(64) } [/tex]

[tex] \frac{on}{ \sin(26) } = \frac{15}{ \sin(64) } [/tex]

[tex]on = \frac{15}{ \sin(64) } \times \sin(26) [/tex]

which is 7.315(round if neeeded).

We can find side n using pythagorean theorem,

[tex] {15}^{2} + {7.3}^{2} = {n}^{2} [/tex]

[tex]225 + 53.29 = {n}^{2} [/tex]

[tex] \sqrt{278.29} [/tex]

Side n=16.689(round if needed)

Answer: 0.0905475920892 miles

Step-by-step explanation:

Convert km to Miles using conversion

1km = 0.6213712 miles

86 x 0.6213712 = 53.4379232 miles/hour

divide that by 60 to get miles per minute. Divide again to get miles per second

53.4379232 / 60 / 60 = 0.0148438675556 miles/second

6.1 x 0.0148438675556 = 0.0905475920892 miles

Answer:

70.7 degrees

Step-by-step explanation:

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:

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

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: 84.1m

Step-by-step explanation:

Let the height of the flagpole be represented by x.

First and foremost, we have to know that the cosine of 18° = 0.9511.

The equation to get the height will then be:

0.9511 = 80/x

Cross multiply

(0.9511 × x) = 80

0.9511x = 80

Divide both side by 0.9511

0.9511x/0.9511 = 80/0.9511

x = 84.1

The height of the flagpole is 84.1m

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:

The average rate of change is 7.

Step-by-step explanation:

We are given the function:

[tex]f(x)=2x^2+x+5[/tex]

Which represents the number of jars of pickles, y (in tens of jars), Denise expects to sell x weeks after launching her store.

We want to find the average rate of change over 1 ≤ x ≤ 2.

Essentially, we want to find the slope over f(1) and f(2).

Thus, first evaluate the two endpoints:

[tex]f(1)=2(1)^2+(1)+5=2+1+5=8[/tex]

And:

[tex]f(2)=2(2)^2+2+5=8+2+5=15[/tex]

This gives us the two points (1, 8) and (2, 15).

Then the average rate of change will be the slope between the two:

[tex]\displaystyle m=\frac{15-8}{2-1}=7[/tex]

With units, this means that over the first and second week, Denise sold on average 70 jars of pickles per week.

Answer:

Step-by-step explanation:

tanx=4/12

x=arctan(4/12)

x=18.4 degrees

Answer:

Elliott put 2.1 bags of birdseed in the feeders

Step-by-step explanation:

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

I hope I helped! :)

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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:

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:

(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

Then you are able to substitute in X and it can have a infinite number of values catered to the question.

Answer:

It will take 20 minutes  for both buckets to have the same amount of water

Step-by-step explanation:

Let "t" be the time in minutes when both the buckets will fill

The total volume in bucket A after t minutes

[tex]340 + 7t[/tex]

The total volume in bucket B after t minutes

[tex]640-8t[/tex]

[tex]340 +7t = 640-8t\\15 t = 300\\t = 20[/tex]

It will take 20 minutes  for both buckets to have the same amount of water

Answer: Solution

=

−

9

Step-by-step explanation:

Answer:

answer is x = -9

Step-by-step explanation:

2x+2=x-7

x= -9

Answer:

Roses = x = 4

Carnations = y = 12

Daisies = z = 8

Step-by-step explanation:

The bouquet was made up of roses, carnations, and daisies.

Let us represent:

Roses = x

Carnations = y

Daisies = z

Melanie gave her mother a bouquet of 24 flowers.

Hence,

x + y + z = 24...... Equation 1

There were twice as many daisies as roses.

z = 2x

There were three times as many carnations as roses.

y = 3x

Therefore, we substitute 2x and 3x for z and y respectively in Equation 1

x + y + z = 24...... Equation 1

x + 3x + 2x = 24

6x = 24

x = 24/6

x = 4 roses

Solving for y

y = 3x

y = 3 × 4

y = 12 Carnations

Solving for z

z = 2x

z = 2 × 4

z = 8 Daisies

How many of each kind of flower was in the bouquet?

Therefore,

Roses = x = 4

Carnations = y = 12

Daisies = z = 8

Melanie gave her mother a bouquet of 24 flowers which has three kinds of flowers

The number of roses in the bouquet  = 4

The number of carnations in the bouquet  = 12

The number of daises in the bouquet  = 8

Melanie gave her mother a bouquet of 24 flowers.

The  bouquet was made up of roses, carnations, and daisies.

Let there be x roses

Let there be y carnations

Let there be z daises in the bouquet

So the total number of flowers  in the bouquet is given by equation (1)

[tex]\rm x +y + z = 24........(1)[/tex]

There were twice as many daisies as roses.

So

[tex]\rm z =2x ....(2)[/tex]

Also , There were three times as many carnations as roses

[tex]\rm y = 3x ........(3)[/tex]

From equations (1) , (2) (3) we get

[tex]\rm z \; and \; y \; from \; (2)\; and \; (3)\; in\; (1) \; we\; get \\x + 2x +3x = 24\\6x = 24\\x= 24/6\\x = 4[/tex]

So

The number of roses in the bouquet  = 4

The number of carnations in the bouquet  = 12

The number of daises in the bouquet  = 8

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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