A 40 g ball of yarn is 125 m long. What is the mass of a ball of the same yarn that is 2 km long?

Answer:

Sarah can do 17 push-ups each minute.

Step-by-step explanation:

4 minutes = 68 push ups

68  divided by 4 = 17 push ups

1 minute = 17 push ups

Answer:

D 10 to 15 is the answer correct

Answer:

15.9 units

Step-by-step explanation:

use the pathagorean theorem to find x.

a^2 + b^2 = c^2

6^2 + b^2 = 17^2

36 + b^2 = 289

-36             -36

[tex]\sqrt{b^{2} }[/tex]= [tex]\sqrt{253}[/tex]

b = 15.90597372

b = 15.9

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = b/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = a/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = b/a

Answer:

x = -15,46 thì y ≈ 34,46

x = 2,46 thì y ≈ 16,54

Step-by-step explanation:

x + y = 19 => x = 19 - y (1)

thay x = 19 -y vào phương trình 11x + x^2 = 2y ta có:

11 * (19 - y) + (19 - y)^2 =2y

=> 209 - 11y + 361 - 38y + y^2 = 2y

=> y^2 - 51y + 570 = 0

=> y ≈ 34,46 và y≈16,54

thay y ≈ 34,46 vào phương trình (1) có:

x = 19 - 34,46 = -15,46

thay y ≈ 16,54 vào phương trình (1) có:

x = 19 - 16,54 = 2,46

Answer:

Step-by-step explanation:

11x+x^2= 2y

Y + x = 19

Multiply and re-arrange second equation:

2y = 38 - 2x

Substitute into first equation:

11x + x^2 = 38 - 2x

Re-arrange:

x^2 + 13x - 38 = 0

Solve using quadratic formula:

x = (-13+(13^2-4*(-38))^(1/2))/2 or (-13-(13^2-4*(-38))^(1/2))/2

x = 2.46 or -15.46

Substitute back to solve for y:

y = 19 - 2.46 or 19 + 15..46

y= 16.54 or 34.46

Answer:

17 and 32

Step-by-step explanation:

x + (x + 15) = 49

2x + 15 = 49

2x = 34

x = 17

x + 15 = 32

Answer:

153.93804 in^2

Step-by-step explanation:

Area = radius^2 π = 7^2 π = 153,93804 in^2

Answer:

[tex]area = \pi \: r \:^{2} \\ = \pi(7) ^{2} \\ = 153.938 \: in ^{2} [/tex]

Answer:

[tex]C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83[/tex]

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be [tex]180-90-65=25^{\circ}[/tex].

In any triangle, the Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex].

Therefore, we have:

[tex]\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}[/tex]

[tex]\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}[/tex]

Answer:

98

Step-by-step explanation:

The absolute value of a number different from 0 is always positive

- * - = +

15 + 83 = 98

The required value of P would be 64 for the given linear relationship.

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

Given that P varies inversely with the square of Q

P = k/Q²

As per the question, if Q is 8 and P is 9,

So 9 = k/8²

⇒ 9 = k/64

Apply cross-multiplication operation,

⇒ k = 576

If Q is 3, then

⇒ P = 576/3²

⇒ P = 576/9

Apply division operation, and we get

⇒ P = 64

Thus, the required value of P would be 64.

Learn about the linear relationship here :

https://brainly.com/question/11663530

#SPJ2

Answer:

Mean will be affected.

Step-by-step explanation:

The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.

Answer:

-40% change

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]V = A * b = 5A[/tex]

[tex]5A = 141.3[/tex]

[tex]A = 28.26[/tex]

[tex]\pi r^2 = 28.26[/tex]

[tex]3.14 r^2 = 28.26[/tex]

[tex]r^2 = 9[/tex]

[tex]r = 3[/tex]

[tex]D = 2r = 2 * 3 = 6[/tex]

Answer:

see explanation

Step-by-step explanation:

Given

x² , then when x = - 4

x² = - 4 × - 4 = + 16

[ the product of a negative and a negative results in a positive ]

Answer:b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

...................

Answer:

here's the whole unit test

Step-by-step explanation:

ur welcomeeeee ;)

Answer:

The sample size should be:

c. 204

Step-by-step explanation:

This is based on the assumption that in this campus, there are no more than 2040 students.  The sample size should be around 10% of the population, which is considered a good representative of the real population for the specific study.  If, however, the population is so large that 10% of the population will be more than 1,000, then the sample size should be limited to 1,000.

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

----- = --------

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Answer:

π in²

Step-by-step explanation:

We'll begin by calculating the radius of the circle. This can be obtained:

Area of sector (A) = 4π in²

Angle (θ) = 120 °

Radius (r) =?

The radius of the circle can be obtained by using the formula for calculating the area of a sector. This is illustrated below:

A = θ/360 × πr²

4π = 120/360 × πr²

4π = ⅓ × πr²

Cross multiply

3 × 4π = πr²

12π = πr²

Divide both side by π

r² = 12π / π

r² = 12

Take the square root of both side

r = √12 in

Thus, the radius is √12 in.

Finally, we shall determine the area of the sector created by 30 °. This can be obtained as follow:

Radius (r) = √12 in

Angle (θ) = 30 °

Area of sector (A) = ?

A = θ/360 × πr²

A = 30/360 × π(√12)²

A = 1/12 × 12π

A = π in²

Therefore, the area of the sector created by 30 ° us π in².

Answer:

x=3

Step-by-step explanation:

Log base 5 of 125=x

that is equal to 5x5x5 which is 125

5 is multiplied 3 times so x is 3

Answer:

multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared

Answer:

A. 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

C. 16oz container

Step-by-step explanation:

I can explain my answer in the comments if needed, but C is the correct answer :)

Answer:

77

Step-by-step explanation:

as far as I can tell the steps between the given numbers are

-1

+4

-27

+16

1 can be expressed as 1³

4 can be expressed as 2²

27 can be expressed as 3³

16 can be expressed as 4²

my best guess is that next one is minus 5³ = -125

edit: technically the given steps can be expressed as

(-1)³

(-2)²

(-3)³

(-4)²

somewhat nicer pattern there

9514 1404 393

Answer:

  x = 48

Step-by-step explanation:

The sum of the angles in a pentagon is 540°, so you have ...

  90° +100° +110° +2x° +3x° = 540°

  5x = 240 . . . . . . . divide by °, subtract 300

  x = 48 . . . . . . . . . divide by 5

_____

Additional comment

The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.

Answer: 72x(elevated 4)y(elevated 3)

Step-by-step explanation:

4xy(2x2y)(3xy)(3)